diff --git "a/data/dm_maths/full_data_1/1048_11255.jsonl" "b/data/dm_maths/full_data_1/1048_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1048_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate 189\/(-126)*(-10)\/(-3)*4\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 + 0)*(728*y - 5 - 455*y - 380*y) + 5*y + 5*y - 1 - 2*y as w + z*y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.731 - -5.651. Put p, 0.1, 0, -1\/5, -0.5 in ascending order.\nAnswer: -0.5, -1\/5, p, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 117*w**2 + 135*w - 859. Determine q(40).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r. Let t(b) = 2*b - 16. Let z be t(8). Let w(y) = -7*y + z*y + 7*y - y**2. Calculate s(w(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3130 is divided by 3109.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1486800 divided by 84.\nAnswer: -17700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ryyyyryyryyryyrryr.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = -8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3 = -6. Let d = u + 2. Solve -5*m = d - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1286*y - 6508. Calculate i(5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/2*h + 1\/2*h**2 + 0.\nAnswer: h*(h + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18263 (base 10) in base 7?\nAnswer: -104150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s - 288. Suppose 106*g - 3*v + 88 = 110*g, 5*g - 141 = 4*v. Calculate the remainder when s is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1262, -2045, -2352, -2183, -1538?\n\"Answer: 238*z**2 - 1497*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**24)**33\/((y**(-5\/3)\/y**0)\/(y**(-3\/2)*(y*y*y*y\/y**3*y)\/y)) assuming y is positive.\nAnswer: y**(1195\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mbbbbmbmbmbmbmbmbmm?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 15*w + 3. Let a be t(15). Suppose -198 = -h + a*q, 3*h + 396 = 5*h - 2*q. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19100 + -18144.9. What is t rounded to the nearest ten?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:22 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from uquuxuzquuubzubquuuu.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, i: 8, s: 7}. What is prob of picking 1 i and 1 s?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1\/4*d**4 - 24*d - 17\/3*d**3 + 19\/2*d**2 + 19. What is the units digit of a(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 9. Let b be i(7). Suppose -2*c = b*u + 8, c + 3*c + 2*u = -12. Suppose 5*w + 14 = -11, -3*w - 31 = 4*y. Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o - 73. Determine t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/15)\/u**(-10)*(u*u\/((u**(-4\/9)\/u)\/u)*u)\/((u*u*u*u\/u**(1\/6)*u)\/u) assuming u is positive.\nAnswer: u**(1033\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:24 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + 47. Let t = -7 - 17. Let v = m + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 114025?\nAnswer: -114031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 896 + -828. Is i <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((33950124\/(-65))\/18)\/((-4)\/(-10)) + 3. What is l rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 5*n - 103. Let u be b(-13). Suppose 6*g**4 + 0*g**2 + 2*g + 3 - 3 - 10*g**2 + 5 - 2*g**3 - u = 0. Calculate g.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 99 in descending order.\nAnswer: 99, 65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23140659 divided by -4\nAnswer: 23140659\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10 - 2 - -22) + -17 - -5) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13))**(-1\/3)\/(o**(1\/2))**26 assuming o is positive.\nAnswer: o**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1511005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -427 + 584. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j)**44*(j\/j**(-2\/17))**(-1\/43))**(-19\/5) assuming j is positive.\nAnswer: j**(3667057\/3655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 64. Let n be y(13). Let c be ((-9)\/612)\/(0 + n). Is 0 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-42)*8\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 120.1. Let k = 8 + i. Let d = 0 + -0.4. Which is the closest to k? (a) -1\/5 (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -808, -989, -1250, -1591, -2012?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.065693 to 3 decimal places.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*o**4 + 6 + 9*o**4 - 2*o**4 with respect to o.\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*r**2 - 58*r**2 - 135*r**2 to the form c + m*r**2 + w*r and give m.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(2*w + 0 + 0) + 0 + 0 - w)*(4*w - 4*w - 2*w) - 3*w**2 + 3*w**2 - w**2.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56299334 is divided by 18766442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526169 is divided by 147.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z - 14. Let y = 1243 - 1255. Give n(y).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217368 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-4 - -5)*24\/8. What is the remainder when 4*(-1 + ((-185)\/(-10) - a)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144562 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798*n + 800*n - 5974 = 0. What are the prime factors of n?\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1022464 by -3994.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = 5*t + 4*q, -2*t + 2*q = 31 + 55. Let l(a) = -a**3 - 42*a**2 - 45*a - 73. Is 31 a factor of l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (50 - -26) - ((4 - (-5 + 15)) + 14)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -107*z - 2. Let s(r) = -54*r - 1. Let u(i) = 3*j(i) - 5*s(i). Is u(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 595.4 and 34250.\nAnswer: 34845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5575146.\nAnswer: 2, 3, 59, 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164450 (base 13) to base 6.\nAnswer: -15500232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + sqrt(720)) + (sqrt(720) - (sqrt(720) + -4 + -6*sqrt(720))))**2 + -2 + 4.\nAnswer: 2688*sqrt(5) + 46278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -122, -27, -3, 5, 8.\nAnswer: -122, -27, -4, -3, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 175?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**4 - w**3 + 4*w. Let s(i) = -2*i**4 + 122*i**3 - 242*i**2 + 106*i. Let h(t) = 4*r(t) + s(t). Factor h(c).\nAnswer: 2*c*(c - 1)**2*(c + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnhoolq. What is prob of sequence xhq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.1 - -18.9. Which is the third biggest value? (a) z (b) 4\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5\/7 - 32580*o**4\/7 + 9479616*o**3 - 66324736*o**2\/7 = 0.\nAnswer: 0, 1, 4072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2024?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 17. Let t = w - 13. Solve -3*i = t*f, 5*i - 3*f + 2*f = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 18, -0.1, -36, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*p + 6, m + p + 4*p = -10. Let v be 146 - (-12)\/(m - -3). Suppose 4*r - 88 - 152 = 0. What is the greatest common factor of v and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 2*s**2 + s + 1. Let c(h) = -56*h**3 + 336*h**2 - 1120*h + 168. Let w(a) = -c(a) + 168*o(a). What is the second derivative of w(k) wrt k?\nAnswer: -1680*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7440 by 8.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuhmuhjuoh. Give prob of sequence ojom.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13*g)\/g**(12\/7) assuming g is positive.\nAnswer: g**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -1158?\nAnswer: -19686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + 10*t + 5 - 5. Let y(o) be the third derivative of o**5\/120 - o**3\/2 + 2*o**2. Let c(w) be the first derivative of y(w). What is c(u(v))?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 2219, 5150, 9313, 14726, 21407, 29374?\nAnswer: 38645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 31*g**2\/2 - 3. Let p be a(6). Does 11 divide p\/8 - (-5)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**3 + 3745*h**2 - 706835*h + 2086935 = 0. Calculate h.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 divided by 21?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 123, -379 in decreasing order.\nAnswer: 123, 4, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 16 + 31 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 21\/2*q**2 - 1\/2*q**3 - 60*q + 50 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:17 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 11 = 1, 7 = -c + r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373.685 + 0.315. Let m = -374.458 + u. Round m to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, x: 16}. What is prob of sequence zxx?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 2*d**2 - d. Let s be j(1). Suppose 0 = -2*y - s*y. Sort y, -3, 2 in ascending order.\nAnswer: -3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -120*t**3 + 3*t**2 - t - 2. Let k(w) be the third derivative of -w**5\/60 + w**3\/2 + 30*w**2. Let g be k(-2). Does 21 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1312 and 32226?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/31 (b) 2\/5 (c) -1\/5 (d) -348771\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 51*s + 32. Let m be z(-8). What are the prime factors of (6\/(-4))\/(1 - (-380)\/m)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 4*m**3 - 3*m**3 + (2 - 2 + 3*m)*(2*m**2 - 3*m**2 + 2*m**2))*(-2*m + m + 2*m)*(-2*m + 3*m - 2*m + (43 - 25 - 36)*(m - 4*m + 4*m)).\nAnswer: -114*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 16. Suppose 5*f - g*f - 3 = 0. What is the least common multiple of f and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1125 + -1124.99117. Let z = l - 0.011. What is z rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 129*j**2 - 157*j - 3506. What is h(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20122313 + -312?\nAnswer: -20123231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/12)\/((-1)\/(-36)). Is (-4)\/(-3) - (-12)\/r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6272, -50512, -170666, -404690, -790540, -1366172, -2169542, -3238606?\nAnswer: -4611320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n + 4. Let a(c) = 21*c + 9. Let y(k) = 4*a(k) - 9*i(k). Let u(v) = 2*v. What is u(y(f))?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 28, -0.2, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1534*t - 761*t - 804*t.\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 + y**3 - 2*y**2 - 2*y + 32. Let f be h(-3). Solve 4*n - 2*u - f = 0, -u - 3 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 - 2*r. Let l be j(-2). Let m(t) = t**2 + 1. Determine m(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -142 - -148. Let q(r) = 24*r - 146. Let h be q(c). Sort 0, -4, h.\nAnswer: -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4 + 350805\/33410.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byfv when four letters picked without replacement from vmmfvfmbgfgbgmy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*r + 566*r = 0. Suppose -9*t + 791 + 955 = r. What are the prime factors of t?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 17. Let b(i) = 2*i - 9. Let c(g) = -5*b(g) + 3*v(g). Let u be c(-4). Let w be 10 + (12\/3)\/u. Solve d = -3*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 = -6. Suppose -7*c = -4*c - 27. Suppose -5*n = -11 - c. Solve 0 = -j*a + 4*a - 4*i - 4, 0 = n*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11*d - 12*d + 26 = 0, j = 5*d + 2. What is the least common multiple of 3 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**2 + 0 - 1\/6*o**4 - 2*o + 1\/10*o**6 + 0*o**5 + 0*o**3. Find the third derivative of z(x) wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-160))\/(5\/10)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 44\/43?\nAnswer: 44\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79, -88, -107, -142, -199, -284, -403, -562?\n\"Answer: -i**3 + i**2 - 5*i - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -314*c - 3. Let s(j) = 114*j + 1. Let p(o) = -4*r(o) - 11*s(o). Let a be (-60)\/(-33) + 6\/33. Determine p(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 25 + 41. Suppose 2*v - 6 = -b. Let h be v\/(-52) + 50\/13. Solve -h = -3*p + 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7085041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222.36 + -2.44. Let f = 220 - t. Put f, -0.4, 2 in ascending order.\nAnswer: -0.4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21*(-22)\/(-44).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -32. What is the tens digit of t\/(3\/(-27)*-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 46495, 3, -3\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**5 - 8*f**4 + 4*f**3 + 2*f**2 - f + 6. Let b(t) = -t**5 + t**4 - t - 1. Let i(s) = -12*b(s) - 3*y(s). Determine k, given that i(k) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287206509.\nAnswer: 3, 191, 501233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 68.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 298084 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 86. Solve l*g - 2 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-25 - 14 - -24).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 1897855*d + 17080774. Give b(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -4. Suppose d = -3*w + y, -2*y = -w - 4*y - 12. What are the prime factors of w\/(-4)*(-10)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -2*b - 16, 3*b + 103 = -4*q + 99 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -270. Calculate the greatest common divisor of 47 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 48. Let o = p + -58. Let y = 251\/4 + o. Is -4 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 11*f**2 - 4*f + 3. Let n be t(-10). Suppose -5*z = -8*z + l + n, 0 = -2*z + l + 94. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895452 divided by -71?\nAnswer: -12612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23006 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, n: 2}. Give prob of sequence nhnh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*p = 186, -4*y + p - 2*p - 228 = 0. Let g = 55 + y. Let d(t) = -2*t**3 - t**2 - 1. Let c(u) = -2*u**3 - 1. Determine g*c(r) + 2*d(r).\nAnswer: 2*r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 36*t**2 + 74*t + 62. What is p(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = 3*d + 5, 3*d + 2*s + 2 = 0. Suppose r = -v, -4*v + 3*r + 25 = d*r. Suppose 0 = v*t - 7 - 3. Solve 6 = -t*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 41*b**2 + 1521*b + 159. What is the units digit of p(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 0.4 (c) -2\/3 (d) -3 (e) -2\/7 (f) -3\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3277*c**4 - 10*c**2 - 19*c + 8858610?\nAnswer: 13108*c**3 - 20*c - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 84, 6\/5, 0, 1.227, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*k - 36, k = 2*f + 2*k - 27. Calculate the greatest common factor of 84 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -15*o**3 + 24*o + 24. Let d(q) = -q + 2. Let j be d(-4). Let l(a) = j + 0 + 5*a - 3*a**3 - 1. Calculate -5*b(s) + 24*l(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from offrforrrrfofofrf.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7726.233 decades to months.\nAnswer: 927147.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -170, -756, -1754, -3170, -5010, -7280, -9986?\n\"Answer: -z**3 - 200*z**2 + 21*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.8 and 522546593.\nAnswer: 522546597.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 - 4*u + 4*u - 2*u**2 to the form m*u**3 + p + l*u**2 + b*u and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 5*o**4 - 6 + 6*o**4 + (-o**4 + 4*o**4 - 2*o**4)*(0 + 4 - 2) - 4*o**4 - 4*o**4 + 2*o**4.\nAnswer: -3*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 104 + 54 + 50. Let q(i) = -34*i + 2. Let u(c) = q(c) - 3*w(c). Let z(y) = -y. Give u(z(x)).\nAnswer: 31*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 309 and -28?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 5*b - 1 + (b + 0 + 0)*(1 + 4 - 4) + (0 + 0 - 2*b)*(0 + 1 - 2) + (4*b - b - b)*(-4 + 3 + 0) + 0*b - 3*b + b in the form u*b + t and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 - 14 = 0. Let q be 0 + 3 + (-4 - 0). What is the lowest common multiple of q\/6 - (-206)\/12 and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 81. Let g be t(-14). Let c be 190\/24*(-60)\/150 + g. Which is greater: c or 1\/83?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1069 - -2069\/73761. Let v(r) = -r**2 + 2*r + 2. Suppose t - 3*t + 6 = 0. Let g be v(t). Is g smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 + 8*q - 7. Let i be y(-4). Let r(b) = -b**3 - 5*b**2 + 5*b + 7. Calculate the remainder when -7*(0 - (-22)\/i) is divided by r(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(260\/50) + 22506\/77376.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3031514110 + 21?\nAnswer: 3031514131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 52*y + 1 - 6 = 0. Solve -3*v - y*c = 2*v + 10, -3*v = -4*c + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/3)*l)\/l**3)\/((l*l*l**4)\/(l\/(l*l**6))) assuming l is positive.\nAnswer: l**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) 3 (c) -5 (d) 0.4 (e) -3 (f) 21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 149811, 150123, 150435, 150747, 151059?\n\"Answer: 312*j + 149499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -0.4097.\nAnswer: 0.1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d - 6 + 66 + 6*d. Is h(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3805*b**3*i - 1927*b**2*i**2 - 48979657*i**2 wrt b.\nAnswer: 11415*b**2*i - 3854*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 18. Let p be h(-7). Suppose -p*n - 23*v = -26*v - 7, 0 = -2*n + v + 5. Solve -n*w = -4*b + 20, -11 = -5*b - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -53.066. Let m = f + -6.666. Let n = m - 0.6. What is n rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - b - 610*b**3.\nAnswer: -610*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:06 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, -4\/7.\nAnswer: -4\/7, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*(-56)\/192 + ((-60)\/(-16))\/(-5). Which is the nearest to m? (a) -1\/4 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -697, 38, 773, 1508?\nAnswer: 2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {u: 2, e: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4789 + 434518312\nAnswer: 434513523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a3a9 (base 11) in base 8?\nAnswer: 32740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2 + (-90)\/(-46)). Let j = 543 - 547. Let s be ((-30)\/j)\/(((-350)\/(-60))\/(-35)). Is s < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**4 + 2132*f**3 + 2*f**2 + 2*f + 99772.\nAnswer: 96*f**2 + 12792*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3808 and 14583996?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, 4, 0, 21, -1.\nAnswer: -7, -6, -1, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/6 + 643055*c\/6 - 321526 = 0.\nAnswer: 3, 643052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o - 3*s = -6, 4*s - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**2 + 4*s**2 + 8*s**2 + 8*s**2 - s**2 + 2*s + 11 to q*s + n*s**2 + b and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.53? (a) 3\/4 (b) 0 (c) 146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 - k**2 - 2*k + 22. Let c be (-6)\/(-12)*(6 + -4). Let y(r) = r**3 - 3. Let i(x) = c*b(x) + 2*y(x). Find the second derivative of i(d) wrt d.\nAnswer: -12*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 2*z + 3*z - 5*z + 19. Let d be h(17). Suppose 42 + 228 = d*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(5 + 426\/(-84))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - (2 - 3)) + 1. Suppose -2*c - 18 + 6 = i. Let a(r) = r**2 + 4*r + 3. Does 15 divide a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let q(n) = -688*n + 2028. Let s(d) = -4*l(d) - q(d). Factor s(y).\nAnswer: -4*(y - 169)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1872) + sqrt(1872)*-2)*3 + 4).\nAnswer: -144*sqrt(13) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -175034.\nAnswer: 3\/175034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (56 - (-46 + 45))) + 7?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48\/5 - -326\/35. Which is the closest to 0.1? (a) 6 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 3:16 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + b - b + 0*b - 2*b + 0*b - 5*b - 40*b + 236*b + (b + 2*b - b)*(4 - 1 - 1).\nAnswer: 194*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = g + 48, g - 2*t + 6435 - 6465 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e + 4?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 12*o - 12*o)*(-4*o + 17 - 17 + (-1 + 2*o + 1)*(-2 + 3 - 3) + 5*o + o - 4*o) in the form l*o**3 + m*o**2 + c*o + p and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(-2 - 1 + 2)*(4 - 4 + 2)*(-32 + 7*d + 2*d**2 - 10*d - 3*d**2) to the form w + t*d**2 + k*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2627 - -1.256903573.\nAnswer: 2628.256903573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 601 + -601. Sort -0.4, -3\/7, 1, t.\nAnswer: -3\/7, -0.4, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 781*r**2\/2 + 107*r + 161. Is n(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*q + 204*q - 265*q.\nAnswer: 92*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 2.4. Let o = 15 - 15.3. Let n = w + o. Which is the nearest to 1\/3? (a) -2 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**3 + 15*v**2 + 3*v + 3. Let n(u) = -4*u**3 - 8*u**2 - 2*u - 1. Let o(p) = -5*n(p) - 3*s(p). What is the tens digit of o(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let q be o(7). Suppose 5*g - 8 = -k - 80, -5*g - 62 = -4*k. Let h = q - g. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65885271 to the nearest integer?\nAnswer: 8117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yyyyyyyyyyyyyyvyyyyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**26 assuming p is positive.\nAnswer: p**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/6 - 5*u**2\/2 + 11*u\/2 - 17\/6 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppappappppp. Give prob of picking 1 p and 1 a.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 654.406, -6, 4 in decreasing order.\nAnswer: 654.406, 4, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njjdjyyiyjj. What is prob of sequence nd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 6123, -2290 in descending order.\nAnswer: 6123, -3\/2, -2290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*y - 378, -25*y + 27*y + 684 = -2*j. Which is greater: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 1166 - 1116 = 5*r, 3*r - 10 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - 13*i + 12. Let l be n(-12). Let w = 47 - l. Suppose -w = -3*d + 5*k, -k + 0*k = 2*d - 190. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*d = -0*k + 44, -5*d = 2*k - 44. Let t(s) = -s**2 - 5*s - 4. Let o be t(-2). Calculate the greatest common divisor of k and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490 is divided by 447?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -1.3.\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13088 + 235651\/18. Calculate the common denominator of 85\/24 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = 12. Let t be (-1)\/f - (-175)\/20. Suppose 2*y = 13 + 3. Are t and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 5*a + 8. Let l be i(-6). Let j(z) be the second derivative of 3*z**3\/2 - 137*z. Determine j(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 + 4*s + 4. Let k be x(-4). Let m be k\/(1 + (1 - 0)). Suppose 0 = -38*l + 44*l - 6. Solve -l = m*p + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -68752, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 0.367?\nAnswer: 0.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 35 = 5*k, -t - 3*k + 0 = -1. Suppose -2*m + 34 + 27 = -5*g, 3*g - 161 = -4*m. Calculate the remainder when m is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/24 and -163\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3*i - 3. Let f be s(6). Let t = f + -12. Suppose t*l = 2*l + 3300. Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 54\/10)*(-1073875)\/(-22)*4. What is r rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2178 and 7032366?\nAnswer: 77356026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/60*s**5 + 4*s**2 + 0*s + 0 + 0*s**3 - 1\/40*s**6 + 0*s**4. What is the third derivative of g(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2179 + -305. What are the prime factors of z?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:53 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:02 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -478*a + 476*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13030*y + 4527*y - 6200*y.\nAnswer: -14703*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 712390069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -415 (b) 275\/7 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3)*(-1 - 9*l + 1)*(-2 + 0 - 3) as q*l + h and give q.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from xjttitixvvth?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let d be (-3)\/5*(18\/(-3) + 1). Suppose u*r - 196 = -3*o, d*o = -o. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134.6929 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005735529 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*f**2 + 1287*f - 1287*f)*(-42*f + 1 - 48*f - 35*f**2 + 87*f) to q*f**3 + w + p*f**2 + a*f + x*f**4 and give x.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 50\/7 (c) 80 (d) 3 (e) 0.2 (f) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2))\/(4\/(-39)). Suppose -2*p - 126 = -5*o - 19, 80 = 4*o + 4*p. Let n = k + o. What is the closest to -1 in -3\/2, 1, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -1 + 3 + -30. Let n = i - -34. Solve n*u - 3*b = -u - 9, -u = 4*b + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 (base 6) in base 12?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -120?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*19*(-3)\/(-171)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406 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: Let k = -17 - -20. Suppose -4*h + 4*o + 4 = 0, 0*h + o = 5*h + k. Is -3 + (3 - h) - -52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 256 + -2814\/11. Let s = 28\/33 - z. What is the closest to s in 3, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 1.2247548?\nAnswer: -1.7247548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6784, 27214, 61288, 109006, 170368, 245374?\nAnswer: 334024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 27*h**2 - 26*h - 22. Let v(y) = 18*y**2 - 18*y - 15. Calculate 10*v(f) - 7*x(f).\nAnswer: -9*f**2 + 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/((-621)\/684) + 20\/(-15))\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**(1\/91))**49 assuming l is positive.\nAnswer: l**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2, -3, -4 in descending order.\nAnswer: 5, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-1419)*(-364)\/(-1092)?\nAnswer: 2\/387","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -117*d + 2303. What is o(14)?\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5 - 0)\/2. Let d = -9 + 8.97. Let w = -8.03 - d. Sort j, w, -3.\nAnswer: w, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/33 (c) 0.15 (d) 1174 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1 + (-52)\/(-10))*20. Let b be ((-76)\/(-6))\/(l\/96). Let s(u) = -u**2 + 23*u - 42. Is 8 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - 10.8. Let a = o - -11.98. Let z = a + -0.18. What is the smallest value in z, -0.4, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16536 and 10494?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*v**4 + 2*v**3*y - 19917*v**3 - 3*v**2*y + 2*v**2 + 412711*v*y wrt v.\nAnswer: -432*v + 12*y - 119502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 + -3. Let l = -0.3 + 0.7. Which is the nearest to m? (a) 0.2 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1929, -1932, -1923, -1902, -1869, -1824?\n\"Answer: 6*c**2 - 21*c - 1914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 + 2. Let s = -26\/19 + 35\/19. Let t = s - -11\/57. Which is the closest to t? (a) -1 (b) m (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.05, -3.4, -13\/8?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -37971500 to the nearest one hundred thousand.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 a factor of 1127236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1112.688 + -20.312. Are -0.04 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-4)*(-12)\/10. Suppose a = 5 - x. Suppose 0 = a*u - 0*u. Solve u = -r - 2*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3. Suppose -z = -l*z. Let p be 17 - (0 + z - -2). Solve x + p = -0*x - 3*i, 2*x - 5*i - 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 4. Let f be u(6). Suppose 0 = -z + f*z. Suppose z = -2*o - 3*m + 36, 3*m = 3*o - m - 37. What is the greatest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let a be b(-7). Let w = -8 - a. Let z(s) = 5*s. Let g(f) = -f. Give w*z(p) - 4*g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqmqqfmdqfqfqqmqqfqq. What is prob of sequence mq?\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*x - 1 = 1, -2*o = -4*x + 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93690?\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + 2*f)*(-2*f - 2*f + 9*f) to y*f + m + g*f**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 0*g - 2 + 6*g)*(-9765 + 9765 + 454*g) to b*g + w*g**2 + x and give b.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 2*u + 3. What is f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52.42 - 52.42. What is the closest to g in 262, -3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99024, -99599, -100556, -101895, -103616, -105719?\nAnswer: -108204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 286.7 (b) 1\/14 (c) -3 (d) -0.338 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - 1 - (-36 + 25)) + 11 + 23.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002689 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441976.\nAnswer: 2, 101, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 419*r**2 + 103*r + 139. What is the tens digit of k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*((-1)\/1)\/4*(-468)\/(-351).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3155406 + -128?\nAnswer: 3155267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Let x(l) = -44*l + 3 + 92*l - v - 55*l. What is x(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-252)\/15)\/((-4)\/(-1040)*-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-45)*342\/(-24). Let p = t + 11\/5. Factor 1\/2*n**2 + p*n**3 + 0*n + 0 + 1\/4*n**5 + n**4.\nAnswer: n**2*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 25 = -6*k, 20*k - 24*k + 10 = -2*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9112 by -52.\nAnswer: 2278\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4 = -4*p, 22848*x = 22828*x - 2*p + 150 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30041 - -15?\nAnswer: 30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 23*k. Let c(y) = 1638*y. Let o(w) = -2*c(w) + 143*d(w). Let h(p) = -6*p - 7. Let f(z) = z + 1. Let s(j) = 21*f(j) + 3*h(j). Give o(s(g)).\nAnswer: 39*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 - 7 = 0. Solve -r*a + 4 = -5*y + y, -4*y + 36 = 5*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/4 + 13\/4. Which is the nearest to 2\/3? (a) p (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 117*j - 202. Let h be p(18). Suppose 15*v - h = -149. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*a + 2*a**2 + 32*a)*(2 - 4 - 1) to the form m*a**2 + k + v*a and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 49, -46 in descending order.\nAnswer: 49, -2, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 - 105*i + 36. Let p(o) = -9*o**2 - 88*o + 34. Calculate -5*n(w) + 6*p(w).\nAnswer: w**2 - 3*w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/30 + 8*p**4\/3 - 76*p**3 - 291*p**2 - 1. Let a(l) = 0. Calculate l.\nAnswer: -38, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sahs when four letters picked without replacement from {s: 4, k: 5, a: 1, h: 1, g: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9359 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(275) + -3)**2 - (sqrt(11) + sqrt(1100)*-1 - ((sqrt(891)*-1)**2 + sqrt(891))).\nAnswer: -245 + 138*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75 - 723*r + 3124 - 478*r + 17435431*r**2 - 17435430*r**2 wrt r.\nAnswer: 2*r - 1201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820243897.\nAnswer: 23, 37, 97, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 14, 18, 22, 26?\n\"Answer: 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 21, -4, -156 in ascending order.\nAnswer: -156, -7, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, b: 7, e: 1, o: 1, q: 7}. Give prob of picking 2 q and 1 o.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/25)\/((-3)\/((-75)\/(-10))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 29*q - 28*q, -12 = -5*q + 2*d. Solve 5*t = q*o - 24, -6*t = -8*t - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1650\/(-1500))\/(9\/80)?\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 + f - 1. Let r be v(1). Suppose -2*z - 3*w = -4 - 6, 5*w = 10. Factor 2*y - 6*y**2 - 2 + z*y + r*y**2.\nAnswer: -2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)\/(15\/30) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11.7. Let z = 0.29969 - p. What is z rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(-2*1\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1717177g in micrograms?\nAnswer: 171717.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.514379 months?\nAnswer: 0.00037619825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 139195.\nAnswer: -2\/139195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3950, -15783, -35488, -63059, -98490, -141775, -192908, -251883?\nAnswer: -318694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1316917?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*v + 5*l, -5*v = -v + 2*l + 4. Solve c + 4*k = -2*c - v, 5*c - 4*k = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + -182 - -17) + 111?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.4 (b) -0.4 (c) -19 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - d. Suppose -4*u + 12 + 20 = -4*m, 2*u = 4*m + 22. Let w(b) = 4*b**2 + 2*b + 3. Let i(h) = u*g(h) + w(h). Let o be i(-2). Solve s = o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g = -48*g. Let j(s) be the first derivative of -9\/5*s**5 + 3*s**3 + 1 + g*s - 1\/2*s**6 + 3*s**2 - 3\/4*s**4. Find d, given that j(d) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1674 - 1674 - 282*q as l*q + h and give l.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163090 by -694.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 + 5*j - 8. Let w(r) = -r**2 + 2*r + 1360. Let p be w(38). Give y(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169*a**3 - 15*a**2 - 14*a - 681785 wrt a?\nAnswer: -507*a**2 - 30*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 60. Let c = z - 12. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64764 - -24841. Let v = -79323 - x. What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**3 + 5*g**2 - 2*g. Let h(y) = 17*y**3 - 6*y**2 + 3*y - 1. Determine -3*f(p) - 2*h(p).\nAnswer: 17*p**3 - 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907876985?\nAnswer: 5, 89, 2040173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30566 + -30566.5. Which is the closest to -6? (a) -59 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 297?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 8*w + 3*i + 14, 0 = 2*w + i. Solve -4*j + 3*j + 2 = -u, 0 = w*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-3)\/((-3)\/(-19)). What is the tens digit of -4 + 1 + g\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703756.\nAnswer: 2, 175939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*6*10\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84317180 is divided by 1152?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9*u + 84 = 0. Let f = u + 46. Is 34 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.3, 4, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 18*z. Let k(l) = -32*l - 283. Give h(k(c)).\nAnswer: 3072*c**2 + 53760*c + 235173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -110f - 788?\nAnswer: -1897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 826097809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + g**4 - g**4)*(-149 + 657 + 460).\nAnswer: -968*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 5*d**4\/12 - d**3\/3 + d. Let c(g) = -26*g**2 + 11*g. Suppose 2*o - 311 + 333 = 0. What is o*v(t) - 2*c(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -10 - 2) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -50. Suppose -20 = -2*z - b*t + 23, -z - 1 = -2*t. Suppose z*u = -2997 + 15210. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 866440 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: Suppose 641 = -559*j - 2713. Let s = -4 + 5. Let i = 1.1 - s. What is the nearest to i in j, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d = -19*d - 725. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*z = 3, -25 = 2*p + z - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2144102 and 7824.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1337 - -1799. Calculate the lowest common multiple of s and 63.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1, 155, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/11 and -1\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 222877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215124 = 5307*y - 101533 - 81368 for y.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.7 + 7.63. Let o = -1.57 - -1.5. Let d = g - o. Which is the biggest value? (a) 0.2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 48*f**2 + 118*f - 727. Let v be r(46). Solve -v*c + 460*c = 81 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 4*p**2 - p - 2. Let c be g(-4). Let n be 1 + -1 + c\/(-7). Let k = 1.1 - 0.6. What is the third smallest value in n, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/720 + t**5\/30 - t**4\/12 + 16*t**2 - 5*t + 4. Let z(w) be the third derivative of r(w). Calculate z(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - 3) - (11 + -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9685 to two dps.\nAnswer: 1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 - n + 8. Let v(x) = x**3 + 9*x**2 + 4*x - 2. Let k be v(-7). Let a = k + -35. Suppose 5*j - a = -3. Determine s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*o**4 - 26*o**4 + 4*o**4 + (-o**2 + 3 - 3)*(-5*o**2 + 12*o**2 - 2*o**2) to g*o**3 + n*o**2 + p*o + c*o**4 + j and give c.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:32 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3108, 6231, 9354?\n\"Answer: 3123*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*g**2 - 10*g**2 + g + 2*g**4 + 1 + 21*g**2 as t*g**3 + k + f*g + u*g**4 + p*g**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 6*d**5\/5 + 3*d**4\/4 - 124. Factor s(v).\nAnswer: 3*v**3*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*n**3 + 45*n**2 - 45*n**2 + 2*n**3 + 2*n**3 - 3*n**3 + (-n**2 - n**2 + n**2)*(-4*n + 5*n - 2*n))*(-3*n**2 + 4*n**2 + 0*n**2).\nAnswer: 91*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 10. Let g be (1\/(-3))\/((-61)\/(-549)). Let k be d(g). Is -2\/1417 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/5200 and -23\/3120?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 69546732 and 1096.\nAnswer: 69547828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 48. Let v = -12 - -35. Let p be u(v). Solve 0 = -p*g - 2*q - 2*q, -6 = -4*g - 2*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1087218 and 74\/99.\nAnswer: 1087218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39408 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/144 and -103\/2016.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/4, -1\/2, 0.182, -2\/13?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**8\/288 + d**7\/140 + 11*d**6\/240 + 11*d**5\/360 - d**4\/24 + d**2 - 2*d + 1793. Suppose x(h) = 0. Calculate h.\nAnswer: -1, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4670 - 4460 = 35*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(144\/30))\/((-35)\/105)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -212130 (base 4) in base 6?\nAnswer: -15220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -2967*v**7\/7 - 2*v**3\/3 - 192*v + 246. What is the third derivative of f(u) wrt u?\nAnswer: -356040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(-138)\/253*(-44)\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(99)*-3 + sqrt(99))*4 - (sqrt(99) - (3 + -1 + sqrt(99)) - (sqrt(99) - 1*sqrt(99)*2)))**2 + 4.\nAnswer: 708*sqrt(11) + 344627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -19, -75, -185, -367, -639, -1019, -1525?\n\"Answer: -3*d**3 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**3 + 3*j**3 - 4*j**3)*(-26*j - 96*j - 4*j) to n + c*j**2 + s*j**3 + t*j + m*j**4 and give m.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m\/m**(1\/11)*m)*(m*m**(2\/21))\/(m*m*m**(-6)))**(7\/8) assuming m is positive.\nAnswer: m**(1891\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -181948870 and -0.119.\nAnswer: -181948870.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Let y(x) = -x. Let i(k) = v(k) + 3*y(k). Let o(r) be the third derivative of -r**5\/30 + 5*r**2. Determine i(o(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 11*z**2 - 28*z**2 + 4 - 4 - 3*z**2 + 2*z**2 + 3*z**2 - 4*z**2 + (-6*z + z + 3*z)*(-z + 0*z - 3*z) in the form h*z**2 + i + v*z and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.7, 4.\nAnswer: -0.7, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91976 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + ((-16)\/10)\/1)*-15. Let v(h) = -h**3 - 6*h**2 + 4. Let w be v(-6). Suppose 2*c + 4*i = -24, 8 = -w*i - 0. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447225.\nAnswer: 3, 5, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 8 + 2*q**2 - 11*q - 49*q + 64*q. Let r be 6*2*1\/4. Let s be c(r). Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 23 = 4*a - 5*p, 63*a - 64*a - 86*p + 104 = 0 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58535, 58364, 58083, 57692, 57191, 56580?\n\"Answer: -55*k**2 - 6*k + 58596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + 796\/7. Let p be (-2)\/7 - w\/42. Let c(j) = 2*j - 5. Let v be c(4). What is the third biggest value in v, -2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/150 + b**5\/25 - b**4\/20 - 2*b**3\/15 + 2*b**2\/5 + 7*b. Suppose y(q) = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3696 and -49\/132?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2898, -5891, -8884, -11877?\n\"Answer: -2993*u + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110437 divided by 4?\nAnswer: -110437\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -0.1. Let y = 0.4861 + -0.0861. Let d = 1.56 - 5.56. What is the biggest value in a, 0.2, y, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-1800)\/27))\/(2\/10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 63*y - 79 - 266 + 17 + 75*y wrt y.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301 and 1254267.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/247 + 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2. Let a(u) be the second derivative of -89*u**4\/12 - 94*u + 2. Calculate a(p(m)).\nAnswer: -89*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 29*p + 2264. Let l be t(-78). What is the fourth biggest value in -0.5, l, 1\/27, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756 - 889 = 115*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:36 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16192678841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -302 (b) 85 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 11:52 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-660)\/(-24))*(187\/(-22))\/(-17)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -31*q**2. Let y = 146 - 144. Let a(o) = -3*o - o + y*o. Determine a(w(h)).\nAnswer: 62*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918 is divided by 199.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -11. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/2)*o**(-9\/5))\/(o**(-3\/10)*o*o**(-16)\/o) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-238)\/392)\/17)\/(4\/8)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(46\/(-483)). Solve -l*c = -2*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1765 + 1664. Put 4, -3, -5, b in increasing order.\nAnswer: b, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*3 + -1 + 1. What is the highest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360 is divided by 340?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51 and -0.03209918?\nAnswer: -1.63705818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-51)\/(-4))\/(4\/(-1028)). Let p = -3258 - k. Let j = 431 + -1677\/4. Find the common denominator of j and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyayyyay?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-3)\/(-6) + -1). Find the third derivative of m**z - 1 + 1 - 2*m**2 + 2*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175895 divided by -35179\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 51*d**2 + 629*d + 90. What is y(20)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631047, 1262096, 1893143, 2524188, 3155231, 3786272, 4417311?\nAnswer: 5048348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 u when four letters picked without replacement from {n: 1, s: 7, u: 6}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(468) + 0 + 3 + (sqrt(468) - -3*(sqrt(468) + 1) - sqrt(468)) - (2 + sqrt(468) + 0 - (-1 + sqrt(468) + -1))**2).\nAnswer: -10 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3 + r**2 + 3 + 4 + 4. Let b be 14\/3*(-12)\/8. What is the units digit of k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929675973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-120)*5\/(-10)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:00 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*u - 10, 1027*g + 8 = 1025*g - 3*u. What is l in -234 + 12*l - 2\/13*l**g = 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010 is divided by 983?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -8. Let g be (-2)\/(-6)*-1 - 14\/(-6). Suppose g*i - 2*b + 5 = -9, 5*i + 17 = -b. Put i, -1, n in descending order.\nAnswer: n, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j - 169 + 199 + 15*j as d + g*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/30)\/((-338)\/2535).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.938 - 0.062. Let r = u + 86. Let w = -67 + r. What is the smallest value in w, -1\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0042, -0.4, -5, 2\/3, 2\/7 in ascending order.\nAnswer: -5, -0.4, -0.0042, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 + (-31 - -15) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 17*x + 8. Let c(w) = -2*w**2 + 11*w + 5. Suppose -2*t - 3*t + 15 = 0. Suppose 24 = t*g - 0. Let k(y) = g*c(y) - 5*v(y). Determine k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from kpvkpqqkivqvkqvpkv.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 5*d**6\/2 - 4*d**5 - 35*d**4\/4 + 20*d**3\/3 + 10*d**2 + 21. Determine v, given that q(v) = 0.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 8 - -19 - 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 603\/14 + -321\/7. Let k = 304757\/49580 + 8\/2479. What is the common denominator of h and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa + 165?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 + 60*o**2 - 72*o - 416 = 0. Calculate o.\nAnswer: -2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-9248)\/(-17340)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10680 divided by -20?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11592 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758768792.\nAnswer: 2, 59, 149, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23933*a**6 + 63537*a**2?\nAnswer: -2871960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 235494*j + 4621452003.\nAnswer: 3*(j - 39249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 2. Let i be k(5). Let o be i*1*12\/9. Let f = o + 10. Solve g - 5 = 5*r + f*g, -3*g = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -46, 5, 0.22, 0.4, 4\/3, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4464+17263\nAnswer: 12799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -2) + -3 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395 = -3*n + 5*y, -n + 4 + 131 = -y. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100075 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 40 = 37*x. Let l(p) = -p**2 - 8*p - 8. Calculate l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1854)\/(-180))\/(-5 + (4 - -9)) and -89\/1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 815 + -802. Suppose 22 = -5*z - 68. Let r be ((-312)\/z)\/((-2)\/(-9)). What is the highest common factor of v and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/15874045 and -29\/2886190.\nAnswer: 31748090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 95 = w. Let x = w - 11. Calculate the least common multiple of 4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + -0.05. Let d = 2.93 + u. Let h = -0.9 + 1.3. Which is the second biggest value? (a) h (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 92, 219, 398, 629, 912, 1247?\n\"Answer: 26*q**2 - 3*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose 0*n = n - 2*m + 1, -n = -5*m + 10. Let v be n\/i + 4\/(-8). Solve -3 = -u + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.09.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3902 - 2216. What are the prime factors of f?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33500*s - 2 = p + 33501*s, -s + 18 = -3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*v - 966 = -27*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13 = 2*d + d, 5*m + 5*d = -15. Suppose 3*x = -b - 5, x - 3*x = 5*b + 51. Let p = m - b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/120 - 7*y**5\/60 - 5*y**4\/24 + y**2. Let v(x) = -x**3 - 16*x**2 + 112*x - 444. Let u be v(-22). Calculate o(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -5*h. Let u = -151 - 118. Let l = -265 - u. Which is greater: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054497541 to the power of 1\/2, to the nearest integer?\nAnswer: 32473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0173*-36508\nAnswer: -631.5884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1001011111101110001110 (base 2) to base 7\nAnswer: -30105142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -698*o - 372. List the prime factors of p(-3).\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -7*n**6\/30 + 203*n**4\/12 + n**3\/6 + 5313*n**2\/2 - 5808*n. Differentiate s(h) with respect to h.\nAnswer: -28*h**3 + 406*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5577?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -99*j - 11784. Let v be b(-119). Put 6, 5, 4, v, 116 in increasing order.\nAnswer: v, 4, 5, 6, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3458 + -1263. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 25 + -1 - ((-247 - -107) + 129)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/7, -3\/4, -1\/2, 196\/13, -0.3, 36?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1928.2 * -4.\nAnswer: 7712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 4. Suppose 2*w + 28 = -0*w. Let g = -9 - w. Determine c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7 + 437\/161. Let q(v) be the first derivative of -2*v**5 + 0*v + 8\/3*v**3 - z*v**4 - 1\/3*v**6 + 2 + 8*v**2. Factor q(c).\nAnswer: -2*c*(c - 1)*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(52)\/sqrt(4)*3 + sqrt(39)\/(sqrt(3) - sqrt(12))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 23.7662, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 12, g: 3, f: 2, k: 1}. Give prob of sequence gf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4135439, -4135413, -4135387, -4135361, -4135335, -4135309?\nAnswer: -4135283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {b: 9, s: 3, d: 2, a: 2, y: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -5. Suppose 2*z = o*z - 8. Suppose -5*v + 0*c = 2*c - 22, 10 = 3*v + 2*c. What is the greatest common divisor of z and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24161 = 7*q - 3*a, -5*q + a = -9*q + 13790. What are the prime factors of q?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 8*q**3 + 7*q**2.\nAnswer: q**2*(q - 7)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w - 8 = -41*w, 5*i + w - 17 = 0. Let g be (-8)\/(-1)*(-2)\/(-4). Solve 3*t + t - i*u = -11, g*t = -u - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v + 144 = 0. Suppose 0*z - v = -2*z - 2*b, 5*z - 3*b = 88. Let h = z - -1. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 317, 490, 679, 890, 1129, 1402, 1715?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07553 + 23.501922.\nAnswer: 23.426392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 6. Let a(r) be the third derivative of 0 + 2*r**2 + 0*r - 1\/12*r**4 - 5\/6*r**3. Calculate -4*a(u) + 3*f(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/15 - 83\/30. Let t = -2.7 + 0.7. What is the third biggest value in 0.4, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 - 9*l + 4. Let h(c) = -11*c**2 - 18*c + 8. Let m(i) = -4*h(i) + 7*r(i). Let j be m(-5). Solve -3*f = -11 - j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26861 or -26821?\nAnswer: -26861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -0.08\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 483 and 6607923.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**4 + 3*r**4 + r**4 + (-1 + 1 + 3*r**2)*(0*r - 4 + 3*r + 2*r**2 - r) in the form q*r**3 + h*r**4 + l*r**2 + a*r + f and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584736 + 0.002?\nAnswer: -1584735.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 1, p: 8}. Give prob of sequence vvtp.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 8*v**2 - 8*v - 6. Let i be p(-7). Let x = -2 - i. Is ((-67)\/x)\/(-1)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (6 + -3))\/(1\/7). Suppose -n*x + 12*x + 90 = 0. Do x and -18 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 9*j**2 - 20*j + 12. Suppose 2 - 26 = -4*c. Let t be x(c). Suppose -n + t = -3. What is the greatest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -19. Suppose m*x - 10022 = 13613. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:42 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(30 - 30 - 47*u**4) + (3*u - u**2 - 3*u)*(-3*u**2 + u**2 + u**2) - 15*u + 15*u + 5*u**4.\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309996861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2)\/((-2)\/1). Let r = 22 - 15. Suppose 3*x + 12 = r*x. Sort -1, y, x.\nAnswer: -1, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = 10. Suppose h*d = -2*d. Suppose 4*q = -w - 2*w + 8, d = -3*w - 3*q + 6. Solve 4*i = w, -12 = -5*y - 3*i + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.63? (a) -0.7 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -1299, 133, -19\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342*c**2*p**4 - c**2*p - 262*c**2 + 2*c*p**4 - 5*c*p**2 + 2*p**4 wrt p?\nAnswer: 8208*c**2*p + 48*c*p + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69527 is divided by 13898?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0796 + -0.0796. What is the closest to 31 in -2, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/46924540 and -73\/112618896.\nAnswer: 563094480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297436 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2739249 = -87*p + 142*p + 217499. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 + r**3\/6 + r**2\/2 + 39*r. Let q(c) = -2 + 2*c + c**2 + c**3 + 4 - 3. Give -k(f) + q(f).\nAnswer: f**3 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*c**2 - 4*c**2 + 5*c**3 - 6*c**3 - 2*c + 0 as w*c + n*c**2 + h*c**3 + v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4994 = -4*f, 5*l - 3*f = 2*f - 12470. Calculate the common denominator of (-4 - -1) + l\/(-600) and -79\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(567\/1890 + (-19)\/(-70)). Let p(i) be the first derivative of -55\/2*i**2 - 48 + 15\/4*i**o + 25\/3*i**3 + 15*i. Find s such that p(s) = 0.\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (5 + (-2 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - 14*v + 56. Is 24 a factor of y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 9*s + 105. Sort s, 4, -26 in decreasing order.\nAnswer: 4, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 15*r**2 - 8*r - 8. Let w be c(-8). Let n(x) = -9*x - 2. Let f be n(-3). Let p = f + -10. What is the greatest common divisor of w and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2340)\/72 - (0 + 18 + -25).\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56027 plus -0.1?\nAnswer: 56026.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**22)\/t)**(-1\/35)*(t*t\/((t**19*t)\/t))\/(t*t\/((t**39*t)\/t)))**(-50) assuming t is positive.\nAnswer: t**(-7220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 - 30. Solve 62 - r = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llmm when four letters picked without replacement from lleml.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4085 divided by -19.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 - 5*b + 2. Suppose 0 = 3*j, w - 3*j - 5 + 3 = 0. What are the prime factors of n(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/66 and -25\/126951.\nAnswer: 253902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.148142 rounded to 2 dps?\nAnswer: -249.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1092 at least 546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.69 and -45707052355?\nAnswer: 45707052357.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*n + 387*n = -15233 + 2633 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 9. Let m be x(7). Suppose -22 = c + m. Which is smaller: -23 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886 - 7278 = 314*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 112 and 0.037?\nAnswer: 4.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 130380040 a multiple of 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -726 (base 15) to base 13.\nAnswer: -96c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2310 divided by 30\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 378 + -376.01. Let z = q + 0.01. Let m = z - 2.2. Which is smaller: -3 or m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267\/2 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -16. Solve 0 = -4*j + 2 - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(48)\/(sqrt(108)\/sqrt(9)))\/(sqrt(242)*-4))**2 + 1.\nAnswer: 969\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 255 = -4*a, 233 - 953 = -3*i + 3*a. What is the least common multiple of i and 3995?\nAnswer: 3995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 3244*j**3 - 107780*j**2 - 104532*j.\nAnswer: 4*j*(j - 843)*(j + 1)*(j + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 11\/((-11935)\/(-3240)). Let m = -23165\/3906 + y. Find the common denominator of 7\/346 and m.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261563920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a - g, 3*g = -0*g + 6. Let o be (0 - -1)\/((-2)\/a). Let l = 286\/119 - 36\/17. What is the nearest to o in 0.2, 2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3449*a**3*d**3 - 41*a**3*d*n + 2*a**3*d - a**3 + a*d*n - 33*d**3*n wrt n.\nAnswer: -41*a**3*d + a*d - 33*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h**(-5\/4)\/h)**(2\/75) assuming h is positive.\nAnswer: h**(11\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 524 + -485 + (4 + -4 - 24) - -52?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128.4517135 less than -82.38?\nAnswer: -2210.8317135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y**(2\/5)*(y**(2\/3))**(-5\/14))**(1\/4) assuming y is positive.\nAnswer: y**(-613\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let k = -0.55 + 0.05. Let i = m - k. Sort -2, 0, i in increasing order.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -92. Calculate the greatest common divisor of g and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165358 - -101033828\/611. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22\/9 (b) 3 (c) 0.04 (d) 0.2 (e) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 2*z, 0 = 3*z - g - 14. Suppose t + d = -4*d + 7, -5*d = -5*t + 35. Solve z = -c + 5*o, 5*o = -3*c + t*o + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11696, 11619, 11542?\nAnswer: 11465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**5 - 28*y**3 + 110*y**2 - 2*y wrt y.\nAnswer: -60*y**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 97198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -11) + (3 - ((-5 - -8) + 25 + -13)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 7:55 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 25. Let y(z) = -z - 12. Let r(m) = -2*o(m) + 5*y(m). List the prime factors of r(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 - 825.4\nAnswer: -825.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Let j = -83258 - -83256. Sort r, j, 3\/5, 1 in increasing order.\nAnswer: j, r, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105055258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401254289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103872 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 86*n - 24*n - 28*n + 9*n + 90*n. Let d(f) = f**2. Determine d(t(u)).\nAnswer: 17689*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 327?\nAnswer: 31c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - 2. Let b(i) = -7*i**3 + i**2 - i - 3. What is 2*b(p) - 5*y(p)?\nAnswer: p**3 + 2*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.13 and -0.02?\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2593 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -2 - (-36 + (57 - 33))) + -41\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r - 37 + 3*r + 13*r - r - 22*r. Let u(f) = 9*f**2. Determine u(k(i)).\nAnswer: 36*i**2 + 1332*i + 12321","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1327, -3484, -6151, -9322, -12991?\n\"Answer: o**3 - 261*o**2 - 1381*o + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108)*1*3)**2 - ((sqrt(3) + sqrt(33)\/sqrt(44) - (4 + 1*sqrt(3))**2) + 5).\nAnswer: 13*sqrt(3)\/2 + 3902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**6))\/r**(-15))\/((r\/(r**(-15)*r))\/(r*r\/((r*r**(-3\/13)\/r)\/r)*r)) assuming r is positive.\nAnswer: r**(-23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1069\/4 - -292. Find the common denominator of g and 222\/20 - (-2 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from ejqjeeeeqeqqeeeq?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22\/17 + -120\/119. Let g = -0.15 + 0.13. Let r = g - -0.32. What is the biggest value in -4, a, r, -18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from {e: 1, h: 2, f: 1, l: 1, o: 2, s: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2}. Give prob of sequence ddv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15)\/(d\/(d*d**(-9)*d)))\/(d*((d\/(d*d**4*d*d))\/d*d)\/d*d*d**9*d) assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 28*u**2 + 102*u + 27. What is o(-24)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8\/13 + 93\/130. Let m(y) be the third derivative of -f*y**5 + 1\/5*y**6 - 1\/15*y**7 - y**2 + 0 + 0*y + 0*y**3 - 1\/6*y**4. Find v, given that m(v) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2220 divide 937426080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*j = 24, -4*h = -2*j + j - 45. Let z be (22\/(-8))\/(198\/(-48) + 4). Let v = z + h. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -15625*z + 1. Let l(b) = -b. Give v(l(a)).\nAnswer: 15625*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let x(d) = 2*d**2 + 6*d - 7. Let v(s) = -2*s. Let c(h) = -3*v(h) - x(h). Give w(c(p)).\nAnswer: 2*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 499 - 91. Suppose x - s = -0*x + u, 2*u + 1632 = 4*x. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 109. Let s be n(-38). Let g(z) be the first derivative of -3*z**2 - 7*z + 13. Determine g(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23680\/2304*14\/525 + 4\/(-54). Let i be ((-2)\/(-8))\/(10\/8). Solve -i - c*p**2 - 2\/5*p = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/352*32)\/(7\/48).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-3)\/(-2) + -3). Let j be -2 - -6 - 3 - 2. Let s = c + j. Solve 0 = 3*x - 2*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 17*n + 13*n + 55*n + 48*n.\nAnswer: 107*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815440774 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 298*7\/84 - 1\/(-6). Calculate the greatest common factor of 100 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000359445 rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 21*s**2 + 4*s + 2. List the prime factors of n(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/5, -0.38, 5, 144\/11 in ascending order.\nAnswer: -3\/2, -2\/5, -0.38, 5, 144\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let j = z + 0. Let n be 1\/(-2) + j\/6. Does 1\/3 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997370 smaller than 3997370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 28*d + 2568*d**4 + 2*d**2 + d**3 + 3 - 2567*d**4 to the form a*d**4 + o*d**2 + u*d**3 + v + f*d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12323 - -224133?\nAnswer: 211310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144752 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46467847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/2 (c) -1\/37 (d) -4 (e) 294 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/8 and -61\/178048.\nAnswer: 178048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4682*a*j**4 - 264*a*j + 2*a + j**2 + 2*j - 16 wrt j?\nAnswer: 56184*a*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 114*n - 2369. Let f be s(21). Let l(j) = -95*j. Let q be l(-5). What is the greatest common factor of f and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1086408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -q**4\/12 - q + 1. Let t(z) be the first derivative of b(z). Let y(o) = -5*o**2. Give t(y(x)).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 0, 127 in decreasing order.\nAnswer: 127, 9, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39a74 - 7?\nAnswer: 39a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 491*t**2 + 92*t + 216. Is 68 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-670)\/(-650)) + 39\/26*-6\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28239555 and 41682.\nAnswer: 56479110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from saajajijajjaaasva.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - s - 4. Let y(n) = 2*n**3 - 3*n**2 - 5. Let u(x) = -3*j(x) + 2*y(x). Suppose 3*v + 7 + 2 = 0. Calculate u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0)*1*2. Let r be ((-3)\/(-75))\/(i\/(-10)). What is the third smallest value in r, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8*m = 20. Suppose -40*a + 42*a - 10 = 0. What is the third derivative of -2*p**m + 3*p**5 - a*p**5 + 10*p**2 - 3*p**5 wrt p?\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.15 + 1.095. Let q = f + 0.035. What is the third biggest value in -3, -4\/3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 79*b - 3. Let y be n(6). Let h be 9*14 + (-19 - -25) + 8 + 1. Let l = y - h. Calculate the greatest common divisor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 123000 and 20?\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 59, -3, 69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 + 5 = 0, -74 = 4*f - c. List the prime factors of (-271)\/(-7) - f\/63.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - y + 2677*y**2.\nAnswer: 2677*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 65 = 4*n. Let p = 206 - 186. Calculate the greatest common divisor of n and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*t - 658*t + 112896 = 918*t - 515*t for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 - 5 = q, 0 = -2*y - 5*q + 30. Let k = -2 + y. Solve -f = 2*h - 7, 5*h + 0*f = k*f + 23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 5*x**4\/4 - 2*x**3 + 11. Suppose 0 = -5*s - 155 + 30. Let d(t) = 20*t**3 - 25*t**2. Give s*q(u) + 6*d(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (4 - 1 - 2)*(1 - 4 - 4))*(-2*l**3 - 6 + 6).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220043 - 2?\nAnswer: -220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 9*d**2 - 9*d - 5. Let p(k) = k**3 - 5*k**2 - 14*k - 8. Let h be p(7). Let n be j(h). Solve -2*l + 11 = -n*w + 6*w, 16 = 4*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1226.495 minutes?\nAnswer: 73589700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11253930*u**5 + 900*u**2 + u + 692 wrt u.\nAnswer: -675235800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80442*u**5 + 231332*u - 1.\nAnswer: -1608840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 146934 in -1\/6, 2, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j, 2*u = -3*j + 96 + 31. Is u not equal to 792\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 6*m - 8 = 0. Let s be (0\/m)\/(6*(-5)\/(-30)). Which is the closest to -2? (a) s (b) -1\/4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + (9 - -79) + -34?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 423831 or 0.1?\nAnswer: 423831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -86995, -86992, -86995, -87010, -87043, -87100, -87187, -87310?\n\"Answer: -g**3 + 3*g**2 + g - 86998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -37*b + 2*h + 1 - 1, -4*b = 2*h + 64 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*j + 57 = 0, 3*j + 7 + 34 = -4*q. Let d be ((-4)\/6)\/(1\/(-21)*-1). Let b be (-4199996)\/d - q\/49. Round b to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 39 = -179. Suppose -64*i + 112*i - 5520 = 0. Suppose -5*x + p = -i. Solve -3*z + 6 = 0, -5*z + x = -4*y - y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-44)\/l)**(3\/4) assuming l is positive.\nAnswer: l**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-5)*m*m**(-2))\/((m\/(m*m**1*m))\/m)**(1\/24)*(m**(-1))**(2\/95)\/(((m**(-2\/21)\/m)\/m)\/m*m**(-6)) assuming m is positive.\nAnswer: m**(242579\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 628 and 3.\nAnswer: 1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 5. Let x = 21 - 15. Let l be f(x). Let q be -1 - (-2 + 4)*l. What is the closest to 0 in -4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 1:16 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 9 - 19 = 0. Suppose -l*q = -5*q - 2*p - 58, q = 3*p + 22. Let k be (-21 - -20)\/((-6)\/q). Put -3, 1\/6, -0.3, k in ascending order.\nAnswer: -3, -0.3, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s**2. Let x(p) = -31*p**2 + 3. What is d(x(a))?\nAnswer: 14415*a**4 - 2790*a**2 + 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158\/1885 - 1\/145. Let p(s) = -s**3 + s**2 + 6*s + 3. Let d be p(-2). Suppose d*y + 13 = 10. Is y at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(168)\/(-1*sqrt(12)))\/((sqrt(50) - sqrt(2) - sqrt(2) - sqrt(2))*5).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -3. Let z = h + 1. Is z*1\/(-4)*134 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -4. Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 4*g - 6*j - 42, -4*j = -8. Let n be 2\/4 + ((-155)\/g - 3). Let f(h) = 19*h. Let v be f(-1). Is n greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 40 - 7. What is the remainder when 62 is divided by p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 244 and 66124.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180132742 to the power of 1\/2, to the nearest integer?\nAnswer: 13421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -398 - 3*k**2 + 67*k**2 - 2*k**3 + 400 to the form f + q*k + p*k**2 + m*k**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 205*t - 155. Let x(f) = f**2 - 117*f + 78. What is -4*u(z) - 7*x(z)?\nAnswer: 5*z**2 - z + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 878127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15252443*k*t - 6760080*t - 2 wrt k?\nAnswer: 15252443*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2513589 is divided by 55857?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 93*n - 21. Let s(j) = 40 - 13 + 10*j - 19*j - 14*j - 22. Give 5*d(x) + 21*s(x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -560*o + 281*o + 282*o. Let j(d) = d**2. Give h(j(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 15 + 10. Let x(n) = n. Let l be x(b). Suppose 5*f + 4*u + 7 = 0, 2*u + 5 = 4*f - l. Calculate the lowest common multiple of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1026 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429624 divided by 1768?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5310 and 50781654?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -14. Suppose 0*u = 2*u - w. Suppose -u - 68 = -5*r. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-45)*2088\/(-609))\/((-322)\/23).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 - ((-322)\/(-84) + (-1)\/(-6)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 17521 = 13*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58a81a (base 13) in base 4?\nAnswer: -20002232022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/141 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 9*v**2 + 30*v + 126. What is l(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, g: 4, e: 4}. Give prob of sequence of.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000095165 to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14\/294 - (10\/3 + -3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -48. Let i be (-3)\/p*2*(-4 + 5). Calculate the least common multiple of 10 and (-18)\/15*(-4 - i).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 3*t + 40. Suppose 5*d + 90 = -r, -t*r = -0*r - d + 398. Does 23 divide r\/25*(27\/(-2) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z = 57*z - 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*d = 454*d + 179*d + 14220 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -73\/5, -1.4, 0.5?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2\/7 (c) 4 (d) -0.3 (e) 0.0045\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:30 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 78*h - 3240. Let j be v(-30). Which is greater: -1\/16556 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124.8 + 62112?\nAnswer: 61987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9680 and 65340.\nAnswer: 261360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*m*m**(2\/13)\/m*(m*m**(-1\/2)*m*m)**(-44) assuming m is positive.\nAnswer: m**(-7114\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 972\/7, 2\/3, -1?\nAnswer: 972\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369483 is divided by 323?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 393498 (b) -0.4 (c) 7\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27444 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 3672.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -0.52.\nAnswer: -0.52, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:55 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55194637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683000, 2683001, 2683002, 2683003?\nAnswer: 2683004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 - 8*g**2 + 384*g - 3. Let u(m) = -9*m**3 - 14*m**2 + 769*m - 5. Calculate 7*j(t) - 4*u(t).\nAnswer: t**3 - 388*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/495)\/(2\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5*(-56)\/(-40))\/(-7). Solve 5 = 4*g + v, 0 = -5*p - 5*g + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 733 - 737, 2*x = 7*x + 2*c - 87 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -s + 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12 - (-7)\/3. Suppose 0 = -f*t + 15 + 24. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318720 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q - 6*q - 8*q. Let h(b) be the first derivative of -b**2\/2 - 4. What is h(w(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -93. Suppose 0 = -2*s - a - 3. Calculate the common denominator of 97\/4 and 3\/((-30)\/63*s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*i - 3*i + 75 = 0, 0 = l + 5*i. Let k = 116 - 71. Suppose 3*c = 3*f - k, -f - 5 = 3*c - 0. Calculate the greatest common divisor of f and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 6, x: 2, v: 2}. Give prob of sequence tqvt.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + 2 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-113 - (4 - 5))*1. Let i = t + 567\/5. Are 0 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60219?\nAnswer: 3, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 502, 1091, -31, 0 in decreasing order.\nAnswer: 1091, 502, 2, 0, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from jsjsjss?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114899*m**4 - 7*m**2 - 456?\nAnswer: -2757576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 14*z + 52. Let o be x(17). Which is the second smallest value? (a) 0 (b) o (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1014 - 502 - 13*r**2 - 512 - 32*r**2. Let v(n) = -n - 16. Determine x(v(g)).\nAnswer: -45*g**2 - 1440*g - 11520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20330330011 (base 4) to base 9.\nAnswer: -4366127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:23 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11452 and 3577?\nAnswer: 5851972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -59.1*-11\nAnswer: 650.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155969, -310454, -464939?\nAnswer: -619424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 3*s. Suppose 3*m - 4*i + 3*i = 449, 3*m - 5*i - 457 = s. Suppose -3*y + m = -10. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 43*g**2 - 13*g. Let a(j) = 21*j**2 - 6*j. Suppose 201*x = 52*x + 894. Calculate x*s(n) - 13*a(n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6799\/4 - -1680. Calculate the common denominator of q and (-10560)\/5175 + 2\/(-15).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 10 = 4*x, -x = 13*j - 15*j. Suppose -20 = -j*l + 4*g, 3*l + 2 = 4*g + 26. Solve 4*w + 13 = r - l, 3*w = 2*r - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(14\/3 + -3). Suppose 0 = j*a + y - 3*y - 30, 3*a = -3*y + 39. Suppose 3*h + 4 = -a, 2*h = -5*r - 3. Solve -2*k + r = 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-20))\/(-1)*105\/(-14). Calculate the highest common factor of u and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(4\/(-180)). Suppose 3*p - k = 5*t + 10, p + t = -5. Suppose z + 11 = 5*n, 3*z - 3*n - 3 = -p*z. Let c(g) = 4*g + 3. Determine c(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 7*j**6\/720 + 11*j**5\/60 - j**4 - 22*j. Let q(i) be the third derivative of d(i). What is the derivative of q(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 15*a + 132. Let f be m(5). Let q(s) = -s**2 + 9*s + 27. Let i be q(11). Solve i = -5*r, -g - f*r + 5*r = -3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/8 + (-246)\/360. Let x be (-2)\/(-7) - 156\/(-42). Suppose -x = -5*r + r. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*n - 12, -9 = 2*z + 5*n + 7. Let a(i) = 17*i**z + 9*i**2 - 47*i**2 + 15*i**2. Let j(w) = 8*w. What is a(j(c))?\nAnswer: -384*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 230, 516, 906, 1394, 1974?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/73, 16, -0.18?\nAnswer: -4\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.965613523 + -211.7.\nAnswer: -212.665613523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 6*m**2 - 5*m + 6. Suppose 0 = -4*w - 4 - 4. Let q be (-1)\/(w - (-18)\/10). What is the remainder when b(q) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -3\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (-67 + 131) - (65 + -2 + (12 - 15))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7.9. Let v = -204\/5 - -41. Which is the smallest value? (a) -5 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 8, t: 2, e: 4}. What is prob of sequence zt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019704 to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 12*g**2 + 9*g - 34. Let n be c(-13). Let y(m) = n - m - 32 + 7. Give y(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2. Let i(d) be the second derivative of d**4\/12 + d**3\/6 - d**2\/2 - d. Let x(a) = i(a) + s(a). Is x(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*v**2 - 18*v**3 + 35*v**2)*(4*v + 8*v + 76*v).\nAnswer: -1584*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -435\/1893712?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -931, -913, -909, -925, -967?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 199019813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 4*b + 9*b + 6*b - 32 - 13.\nAnswer: 7*b**2 + 11*b - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -189 and 12.2.\nAnswer: -2305.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.376 - -1.724.\nAnswer: 90.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - 0. Let a(y) = 2*y - n*y + 5*y + y. Let t(j) = j. Give a(t(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 5. Let a be u(-2). Let w be (2\/2 - -1) + a. Suppose 343 = 5*x - 4*y, -2*x + 5*y + 340 = w*x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Suppose -4 - 8 = -n. Is 37 + d + n\/(-6) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955556 is divided by 477770.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010 (base 2) in base 5?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 792. Does 12 divide 3\/12 + p\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 4*n + 7. Let b be y(5). Suppose -3*q - 19 - b = -3*s, -s + 4 = 0. Let l be (-5)\/(-1) + 1 + q. Solve 5 = -l*k - o - o, 2*k - 2*o = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(2 + 0 + 0) + 3 - 2 + 1)*(-3 + 3 - 3)*(-8*y - 3*y + 2*y)*(0*y - y**2 + 0*y).\nAnswer: -162*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*s = -8 + 24 - 16. Let h(p) be the first derivative of 16 - 7\/2*p**4 + 0*p**2 + 16\/3*p**3 + s*p. Find the third derivative of h(l) wrt l.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 + 407*c + 1816. Let a be f(72). Let z(g) = -12*g + 16. Let u(r) = -r + 1. Let h(y) = -3*y + 3. Let j(m) = -h(m) + 2*u(m). Give a*j(o) + z(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/81 and 53\/7776.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -1 - (2 - 4). Let d(g) = g**3 - g**2 + 3*g + 5. Let j(o) = 5*o + 3*o - 3*o**2 + 13 + 1 + 2*o**3. Let r(s) = p*j(s) - 11*d(s). Calculate r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3250, -3191, -3092, -2953?\nAnswer: -2774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231363508 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583244823?\nAnswer: 3, 7, 17, 241, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -8. Sort p, 4, 1.\nAnswer: 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*a + 388*a + 394*a = -21398 - 11579 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1010100101110110000 (base 2) to base 11\nAnswer: 217826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 11000853?\nAnswer: 176013648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5*3 - (-8757)\/105. What is the common denominator of ((-6)\/(-4))\/(t\/(-27)) and 16\/63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, 583572, -9, -5 in decreasing order.\nAnswer: 583572, 5, 3, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/6 + 35*c**3\/6 + 229*c**2\/6 + 119*c\/2 + 27 = 0. Calculate c.\nAnswer: -27, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1371)\/(-21) + 10\/(-35). Suppose 63*r = k*r - 4. Suppose -y = -r*y. Solve -4*l + y*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5455656 (base 7) to base 9.\nAnswer: 1230370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.5, -35, 1\/8.\nAnswer: -35, -3, -2.5, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 60 + 52130*x**3 - 125.\nAnswer: 52130*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 + b**2)*(4 - 5 + 0) + 199*b**2 + 214*b - 214*b.\nAnswer: 198*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 768478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f\/((f*f\/(f**(-1)*f))\/f))*f)*f)**24*(f**(-1\/2)*f)\/((f*f**5)\/f))\/(f*f**(-2\/5)*f**(2\/5)*f)**(5\/4) assuming f is positive.\nAnswer: f**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 greater than 1097\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 1844 - 599 = 0. Calculate the remainder when p is divided by (-4 + (1 - -4))*(11 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.71 + -0.11. Let i = 0.4 + r. Let g = i + -6. Which is the second biggest value? (a) g (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6.944. Round d to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 48. Let y be g*-3*(-20)\/30 + 178. Let s = y + -71. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*f - 10, -5*k + 4*f + 17 = -0*f. Which is smaller: k or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 22. What is the remainder when 99 is divided by w(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 455322.2 days?\nAnswer: 39339838080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8115 = -38*x + 6443 for x.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -17. Let j(p) = -p**3 + 22*p**2 - 39*p - 18. Let f be j(20). Let n(o) = 16 + f*o - 3*o - 16. What is n(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 19. Let x = k - -11. Suppose x*r - 2*r = -12. Calculate the remainder when 21 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -59.48. Let x = 0 + 0.02. Let t = x + v. Sort t, -5, 0 in increasing order.\nAnswer: -5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - 51*c - 2. Let s(a) = -8*a**2 + 50*a + 2. Calculate -6*g(i) - 5*s(i).\nAnswer: -2*i**2 + 56*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 198 - 214 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1435057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drsdrrsmddrddrmdd. Give prob of sequence sd.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 290, 430, 570, 710, 850?\nAnswer: 990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 30, 39, 52?\n\"Answer: 2*a**2 - a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1894 = -2*z, j + 3*z - 456 = 6*z. Let d = j - 220. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2740\/29, -72 in decreasing order.\nAnswer: 2740\/29, 0.5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -1)*(-56)\/3. Let x be -1 + t\/(-3 + 1). Let m = x + -17. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 101 = -103. Suppose 28 = 24*u - g*u. Which is the biggest value? (a) 0.5 (b) 2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 17. Let q(v) = -v - 16. Let z be q(j). Let p be 2\/(2\/z*-4). Solve -2*c = -o + p, -6 = 3*o - 6*o + 3*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124, 134, 144, 154?\n\"Answer: 10*r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = -5*y. Let l = 5 - y. Suppose 2*h - 33 = l. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 19 + -1 + -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10\/7)\/u**27 assuming u is positive.\nAnswer: u**(-199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2. Let x(s) = 9*s - 4. Let f(h) = -h + 1. Let i(c) = -4*f(c) - x(c). Determine d(i(y)).\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -673 - -25?\nAnswer: -64d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*l**3 - 68.\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 2*u - 4 = 0, -4*u + 10 - 12 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 - 122144*c**3 - 934277656*c**2 - 27945936480*c - 209388608100.\nAnswer: -4*(c + 15)**2*(c + 15253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 8*z + 4. Let d(r) = -r**2 + r. Let o(v) = -5*d(v) - g(v). Calculate o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*q - 7, -3*q + 4*q = -3*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4072*h**4*w + 765*h**3*w**2 - 1986907*w**2 - 4*w wrt h?\nAnswer: 16288*h**3*w + 2295*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 + 890\/8. Suppose -4*h + 4 = -z. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 178\/4*(-23908)\/378. Let l = -129387239\/46116 - g. Let r = l + -1\/3416. What is the common denominator of r and -69\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + 4)*5) + sqrt(300) + 0 + sqrt(300) + -3 + 3)**2*2*-2.\nAnswer: -6400 - 3200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-4))\/(35\/18060). Round a to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/36)\/(86\/(-172))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 19 = -6*u + 4*u, -3*u - 4*g = -12. Suppose u = 4*s - 3*p, 0 = s - 4*p - 0 - 2. Solve s + 18 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m**2 - 39*m - 1. Let o be p(10). Let i(q) = q**2 - q + 2. Let u be i(2). Suppose 2*l - b - u = -3*b, -3*b - 30 = -3*l. Solve 5*x + o = -l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p + 18*p = -26*p + 1911 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4\/23, 21, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = -2*h + 5*b, 2*h + b - 2 = 0. Let a be (4 - 3)*h*5. Suppose g = a*i - 25, 3*i + 4*g + 10 = 5*i. Solve -f = l - i, l + l = -5*f + 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20596208111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1405\/25)\/((-1)\/2). Let w = a - -113. Put -1, w, -2 in decreasing order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 25 = 7*i. Sort i, -1, 3, -2.\nAnswer: i, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i + 31. Let l be g(-9). Let t(m) = m**2 - 3*m - 5. Calculate the remainder when 103 is divided by t(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*s = -172*s + 4*b + 84, 0 = b + 2. Let a(r) be the second derivative of 5*r**3 + 0*r**2 + 5\/12*r**4 + 0 + s*r. Let a(l) = 0. Calculate l.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**3\/18 - 14. Factor m(s).\nAnswer: -s**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-10) + 1)*-1. Let q = -67\/351 - -1\/27. Let x = 67 - 65. What is the nearest to h in q, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((4 - -3)*1)\/(2 + -1). What is the second derivative of 7*l**4 - 4*l + 2*l**4 - l**4 + r*l wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/9 (b) 2\/7 (c) 0.1 (d) 3 (e) -1\/11 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11 - (6 + -10)) + 4245. Suppose -7*r = 19*r - l. Calculate the remainder when r is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173 + 54 - -88 - -77.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*g + 40. Let m be 2 - 23 - ((0 - g) + -8). Let c be (m\/8)\/((-18)\/48). Solve 0 = 2*p - 4 + c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 11*w - 30. Let z(l) = l**3 - 5*l**2 + 3*l + 3. Let d be z(w). Let q(c) = c**3 + 5*c**2 - 8*c - 4. Let p be q(d). Solve 3*t - t + p = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = h + 14*g - 12, -4*h - 17 = 5*g. Which is the third biggest value? (a) 1 (b) h (c) 3 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -3*a. Sort a, -5, -1 in descending order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*y**2 - 96*y**2 + 4*y + 196*y**2 - 43.\nAnswer: 2*y**2 + 4*y - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**3 + 7*p**2 + 24*p + 87. Is n(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 21 = -33. What is the second derivative of f**2 + 10*f**5 + f**2 - 9*f + 7*f + 6*f + u wrt f?\nAnswer: 200*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.128994 litres?\nAnswer: 2128.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.111 - 3.111. What is the third smallest value in 2, 0.153, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -387 - -388.9. Sort -1, 0.5, 5, x.\nAnswer: -1, 0.5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 1182*k - 1181*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011001110010000 (base 2) to base 8.\nAnswer: -331620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(240))\/(sqrt(48)\/sqrt(64)))\/(-5*sqrt(810) + sqrt(250) + sqrt(250)*-2).\nAnswer: -12*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 407\/77 + (-2)\/7. Suppose -k*t + t - 16 = 0. Let p = 384 - 382. Sort 8, p, t in decreasing order.\nAnswer: 8, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*q + 15, 50*p + q - 6 = 46*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -3\/2, -1009, -0.5, 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 18*n - 136. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*n = -82, -2*n - n = 3*r - 61 + 22 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*s**2*z**4 + s**2*z**2 - 2*s*z**4 - 79*s wrt z?\nAnswer: -4680*s**2*z - 48*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1539, 6, 0.2, -1.4 in descending order.\nAnswer: 1539, 6, 0.2, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 k when three letters picked without replacement from kzkzkke?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 28 - 4*a**4 + 7*a**3 - 53 to y*a + j*a**4 + n*a**2 + g + z*a**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - -1005?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17400\/(-1160) - 94\/(-8)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-48))\/((-2)\/4) + 9\/36. Which is bigger: x or 19\/120?\nAnswer: 19\/120","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 150 = -390. Suppose 3*n - 106 = -5*t - 9, t = -2*n + l. Calculate the remainder when 57 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580b13 (base 12) in base 7?\nAnswer: -14666406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - (-7 + (-9)\/(-3)) - -3. Let l be ((-4)\/g)\/((-2)\/(-3)). Let d(r) = -227*r**3 + r**2 + 3*r + 2. What are the prime factors of d(l)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 29, -4\/9, 3, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v. Let k = -4 + 4. Suppose k = n - 1. What is the units digit of r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 8. Let w be c(4). Suppose -4*x = 2*l - 7*x - 13, 0 = w*l - 5*x - 27. Calculate the highest common divisor of l and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v**3 + 2*v - 2. Let q(j) = 86*j**3 + 11*j - 11. What is 2*q(w) - 11*z(w)?\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278057*x*y**3 - x*y**2 + 2*x*y - x - 3*y**3 - 19*y - 1808 wrt y.\nAnswer: 1668342*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 + 2*m**3 - 3*m**2)*(175*m - 406*m - 232*m) - 3*m**4 + 4*m**4 + 0*m**4 in the form z*m**3 + s*m**2 + j + v*m + h*m**4 and give h.\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {h: 3, i: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 136. Which is the closest to 1\/4? (a) o (b) 8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:17 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31002665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 6, 24, 58, 114, 198, 316, 474?\n\"Answer: q**3 - q**2 + 4*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 35 - 8) + 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.19 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -6*g - 0. Solve 3*b + 7 = -2*n, 2*b = -2*n + g*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + t = 7*k + 3, -2*k + 18 = 4*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 609*o**2 + 7*o**6 + 15*o**6 + 1103*o**2 - 347*o**2 - 1290*o**6 wrt o?\nAnswer: -152160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1, -120\/13?\nAnswer: -120\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-70)*(-1)\/2)\/(((-126)\/3735)\/(-7))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1708 and 97\/1220.\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 27*j = 905. Let k = j + 235. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1314 - -1317. Calculate the least common multiple of w and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/47 in -4\/7, 167, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2606.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3260512, 6521034, 9781556, 13042078, 16302600?\n\"Answer: 3260522*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001452 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4\/24 + d**3\/2 + d**2 + 1. Let v(l) be the second derivative of q(l). Is v(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 34. Suppose q - 6*q = -60. What is the tens digit of ((-12)\/m)\/(q\/80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(288) + 4))**2 + -1 - 6*(-1*(-2 + sqrt(288)))**2.\nAnswer: -537 + 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -13, -2 in decreasing order.\nAnswer: -2, -13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675 equal to 1675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-13 + (-2 + 12 - -22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a - 4. Let b(d) = -d**2 - 7*d + 51. Let h be b(-11). Does 3 divide (-45)\/(-18)*(a + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14035*b**2 - 2771*b**2 + 4185*b**2 to the form s*b**2 + p + h*b and give s.\nAnswer: 15449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let s(g) = -3*g - 1. Let u = -3 - -1. Let w = u - -9. Let o(d) = w*v(d) + 2*s(d). What is o(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/20, -2\/11, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 6*x**2 + 5*x**2)*(30*x - 12*x - 10*x)*(-1 - 3 + 3)*(0 + 14 + 4) + (4*x**3 - 2*x**3 - x**3)*(-5 + 2 + 1) - x**3 + 0*x**2 + 0*x**2.\nAnswer: -147*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*x + 633*x + 312*x as m + c*x and give c.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 - 12273*o + 396265. Give c(-1785).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x + 10. Let l = 91 - 86. Let r be a(l). Let t = r - -42. Solve -t*h - 5 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53821.\nAnswer: 107, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -566 - 298. Let p = n + 868. Solve -4*j = p - 20, -19 = 5*i - j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d**3 + 0*d + (0*d**2 - 2*d**2 + 4*d**2)*(2*d + 2*d - 6*d) + d**2 - d**2 + d**3)*(-422 - 412 - 66 + d).\nAnswer: -6*d**4 + 5400*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 17*n - 50. Let w(b) = -2*b**2 - 105*b + 400. Let t be w(-56). Give p(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -954, -23714, -2\/9, 0, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 9:56 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -0.22, 0.5 in increasing order.\nAnswer: -0.5, -0.22, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829391390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:08 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 473*i - 476*i - 2*m - 11, 7*i + 19 = -3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.356 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 12:07 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.036 + 28. Let v = g + -0.494. Let i = -0.52999917 - v. Round i to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1513*j**3 - 5*j**2 + j + 8. Let i(t) = 758*t**3 - 3*t**2 + 5. What is -5*i(o) + 3*s(o)?\nAnswer: 749*o**3 + 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2417*j**3*u + 7*j**3 - 99*j**2*u + 419*j**2 + 1321*j + 2*u with respect to u.\nAnswer: -2417*j**3 - 99*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9 - 11 = 0. Let r be 5\/((-10)\/(-16))*1. Suppose -m*j + r + 17 = 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-17\/5)*d\/((d**(-20)\/d*d*d)\/d) assuming d is positive.\nAnswer: d**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, o: 11}. Give prob of sequence oooo.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*o**4 + 71288*o**3 - 61097900?\nAnswer: 252*o**3 + 213864*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.84582 + 0.04582. Which is the nearest to o? (a) 5 (b) 10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 39*z + 24. Let u be c(13). Let s be (0 - (0 + -3)) + 117. Calculate the highest common factor of s and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1507*y - 1541*y - 68 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2\/(-3)*(15 - 24) + 0. Solve 3*k - 2*a - 15 = 0, -77*k + d*a + 30 = -72*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*w + 48*n**2 - 2*w + 19 wrt n.\nAnswer: -2*n*w + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (44 - (-231)\/(-11) - 39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -8 - (-68 + 56)) + (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522346397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.58, -28.3, -0.04, 6\/7, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 97, 95, 93?\n\"Answer: -2*z + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**2 - 13*y + 13. Let o(r) = -5*r**2 - 6*r + 6. Let s(p) = -6*i(p) + 13*o(p). Let q(c) be the first derivative of -7*c**2\/2 + 4. What is s(q(z))?\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(175)*-2 + -1 + 1 - ((sqrt(175) - 5*(0 + sqrt(175) - sqrt(175) - sqrt(175)) - sqrt(175) - (sqrt(175)*-1 + sqrt(175))*-6) + -4))**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4\/5 + 16*v**3\/5 - 4*v**2\/5 - 24*v\/5.\nAnswer: -4*v*(v - 3)*(v - 2)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(8\/13)\/(o**(-18)\/o*o*o*o**15*o) assuming o is positive.\nAnswer: o**(17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 733783751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 943403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1041310 smaller than -1041535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 2*o**2 + 4*o**2. Suppose 2*x - 3 - 3 = 0. Let b(a) = x*a + 3*a + a - a. What is b(s(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/13))\/i)**(1\/10)*i\/i**(-1\/9)*i*i**(-3)*i assuming i is positive.\nAnswer: i**(74\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/19369660 and 93\/32928422.\nAnswer: 329284220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {s: 2, t: 3, d: 7, m: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 276819 and 0.5.\nAnswer: 276819.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r - 3591742 = -523794. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 4*f**3\/3 - 13*f**2\/2 - 2. What is the second derivative of x(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 14, 22, 5, -2 in increasing order.\nAnswer: -2, 5, 7, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 4*y**3 - 4*y + 10*y**3 - y**2 + 2 + 5*y as v + h*y**3 + c*y**4 + f*y**2 + u*y and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 259.8 (b) -0.1 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9 = -3*o, -o + 44 = -2*x + 3*o. Let n(y) = -y**3 + 11*y**2 - 13*y + 28. Let c be n(10). What is the tens digit of c\/(-4)*(-1272)\/x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 7, x: 4}. What is prob of sequence fr?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14167 (base 9) to base 12\nAnswer: -5697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -84300000 to the nearest 1000000.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34\/13 + 319\/117. What is the biggest value in 0.6, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -95*i + 89. Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -6*n + 7*n - 18, -3*n - 10 = -4*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 224\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 45. What is the least common multiple of 36 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 8*t**2 - 7*t + 8. Let c be (-1 - -6) + 2\/3*3. Give f(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-324*n**3 + 161*n**3 + 164*n**3 - 15*n + 17)*(-4*n + 10*n - 5*n) to the form u*n + i*n**3 + c*n**2 + r + x*n**4 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*v**3 + 50*v**3 + 27*v**3 + (-1 + 0 - 1)*(-2*v**3 + 3*v**3 + 0*v**3) + v**3 + 3*v**3 - v**3 - v**3 + 4*v**3 + 0*v**3.\nAnswer: 178*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10845746 is divided by 542287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15927246347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*a = -10, -3*w = -3*a - 0 - 15. Suppose 0 = 3*c + p - 36, -2*c - p - 11 = -36. Calculate the lowest common multiple of c and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3718321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = 27*x + 16560. Suppose x = -7*g + 13*g. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.7 - 0.1. Let i = w + 0.4. Put 1, 0.1, i in descending order.\nAnswer: i, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 4*f + 90.\nAnswer: -(f - 10)*(f + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 360509309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1130554*q**3 + 812923 wrt q.\nAnswer: 3391662*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*i = 94, 5*j + 4*i + 185 = 5*i. Let t = j + 40. Let u be t - ((-3 - 0)\/3 - -3). Solve u = 2*r + 3*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:32 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 95.\nAnswer: -47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(12\/(-9) + 1328\/(-48) + 31)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 2*d**2 - 9*d**2 + d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -724 - -723.999999006. What is a rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/29 - 949\/116. Calculate the common denominator of -21\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 2*g - 13, 7*n - 8*n + 19 = -5*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5810162\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -51. Let b(h) = 14*h - 7*h - 2*h - 12*h**2 - 22 + 7*h**2 + h**f. Is b(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 21*-1*3\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 28 = 5*g - 18*w, -4*g + 5*w + 6 = 0. Which is smaller: 255\/47 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11*v = 580. Suppose 0 = -2*x - 2*i + v, -x + 2*i + 318 = 4*x. Let h = x - 17. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262 + 66245*s - s**3 - 66245*s + 85*s**2 wrt s?\nAnswer: -3*s**2 + 170*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 661\/3, 3, -4, -7, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2011 - 31?\nAnswer: 1a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*6\/(-66)*4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -8\/15 + 2\/5*c + 2\/15*c**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-26)*(824\/1236)\/(20\/(-18))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -65\/475836?\nAnswer: -65\/475836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 - 6. Let p = -37 - -40. Let r be z(p). Suppose -a + 2212 = 5*x, -452 = -2*x + x + r*a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t = -3*z + 6, -3*t - 13 = -4*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.30000603 + -7.3. Round d to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-90)\/(-224)) - 16*28\/(-2240).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n**3 + 25*n - 4. Let y(z) = -16*z**3 - 26*z + 3. Let j(b) = 3*v(b) + 4*y(b). What is the second derivative of j(s) wrt s?\nAnswer: -114*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -784*j + 5*j**2 + 391*j + 393*j.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4512 and 4541 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 707530*k\/11 - 707532\/11.\nAnswer: 2*(k - 1)*(k + 353766)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31620 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 29*j**4\/4 + j + 28. Differentiate l(t) with respect to t.\nAnswer: 87*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 28*o**2 + 31*o + 37. Let z be i(-15). Solve z = 12*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/45 + 4\/18. Let n = 5 - o. Suppose -2*r - v - 7199985 = -n*v, -5*v - 14400025 = 4*r. Round r to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005246413 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2508.9.\nAnswer: 2505.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014719 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55002 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -54*s - 32. Let g(l) = -160*l - 97. Let v(j) = 3*g(j) - 8*i(j). What is the hundreds digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -316*o - 11*o + 69*o as t*o + j and give t.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 796 = 5*x, -5*t + 40 = -x - 110. Let p = 233 + x. Suppose 3*f + y - 340 - p = 0, 5*f + y = 691. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86999720 is divided by 21749924?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 407, 984, 1719, 2570, 3495, 4452?\n\"Answer: -7*m**3 + 142*m**2 - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x = 6*x - 10, 4*l - 5*x = -8. Suppose -2*r = -l*i - 2302, -3453 = -3*r + 2*i - 3*i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 2*m - 1 + 5*m**2 - 3*m**2 + 3*m. Calculate the remainder when g(-4) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - 7*r**2 - 4*r + 8. List the prime factors of d(-5).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6696 - 17399. Let q = s + 588694\/55. Let v = -8\/11 + q. Which is the nearest to 1\/3? (a) v (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10262821 and 0.4.\nAnswer: 10262821.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3057615 and -35\/135894?\nAnswer: 6115230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172744 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 1635 - 1419*o**3 + 1421*o**3 - 19*o.\nAnswer: 2*o**3 - 31*o + 1635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*m - 4*m + 5*h, -27 = -2*m - 3*h. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 7. Let u = -10.4 - z. Sort -0.3, u, 4.\nAnswer: u, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 34. Suppose -g*a = 4 - 18. What is the remainder when 27 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1741866\/6095 - -17\/1219. Which is the fourth smallest value? (a) 3\/7 (b) 3\/5 (c) v (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -20, -3*p - 15 = -8*p - 5*v. Let j be p\/6 - 38\/(-6). Suppose 0 = j*x - 2*x - 48. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13747372 is divided by 1249748.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxgxxxxxxxxxx?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2200 and 113\/4840.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**4*o**3 - 20*a**4*o - a**3*o**2 - 26*a**2*o**3 + a**2*o - 3*a*o**3 - o wrt a?\nAnswer: -192*a*o**3 - 480*a*o - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36.13 and 5.2.\nAnswer: -30.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*x - 16, 4*x - 4 = 4. Let l = 629 - 628.8. What is the closest to w in 3, l, 0.32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.65 (b) 0 (c) -3\/5 (d) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 799, 4315, 10541, 19477, 31123, 45479, 62545?\n\"Answer: 1355*u**2 - 549*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 3*a**2 - a - 2. Let m(v) = 7*v**3 - 7*v**2 - 2*v - 5. Let k(g) = -g**2 - 12*g - 26. Let t be k(-6). Determine t*l(r) - 4*m(r).\nAnswer: 2*r**3 - 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/(-7)) + 0. Let a = y + 10. Suppose -z - a*z = -40. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (0 + sqrt(1584) + 0 - sqrt(1584)) + 3 + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 527489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -32, 2 in decreasing order.\nAnswer: 5, 2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 2*(sqrt(243) + 0) + 2 + 1*sqrt(243)))**2.\nAnswer: -864*sqrt(3) + 35008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2496722 by 2.\nAnswer: 1248361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -138*o**2 - 132*o - 1. Calculate x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34466 is divided by 884?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(5\/((-20)\/(-4))). Suppose -10 = s + s. Sort h, 4, s in decreasing order.\nAnswer: 4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Let q = -4 + 7. Suppose -3*s + 4*i - 21 = 0, 0*i + 3*i = -q*s. What is the second smallest value in 1\/4, o, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1642 from -845.\nAnswer: -844.8358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Suppose j = 2*n - 3*n - 1, 0 = n + 3*j - 5. Let h(g) = g + 33. Let a(k) = n*w(k) + h(k). Let d be a(0). Round d to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d*i*t**2 - 3*d*i - 2*d*t**2*w - 13*i*t**2 + 2*i - t**2*w with respect to d.\nAnswer: -18*i*t**2 - 3*i - 2*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (238\/(-357))\/(3 + (-34)\/18)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-641 - -673) + (-2 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h = -46*h - 952. Let o(u) be the third derivative of u**4\/24 + 10*u**3\/3 + 4*u**2. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 23 = 3*k, 5*k - 2*v = v - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*v - 26, 4 - 13 = -2*v + z. Let o(b) = 7*b - 1 - 4 - b. What are the prime factors of o(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.0245 - -0.0245. Let v = u - -90.06. Is 3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*x**3 - 12*x**2 - 88*x**3 - 133*x**3 + 41*x**3 - 8 - 2*x**2 wrt x?\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.1 + -5. What is the third biggest value in -2\/9, -4\/9, 0.8, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/1530 and -71\/72.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0 + 12. Which is the nearest to o? (a) 1\/9 (b) 1 (c) 7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -179*z**3 - 127*z**2 - 2*z. Let m(y) = -2*y**3 + y. Let x(v) = -2*m(v) - p(v). What is the third derivative of x(b) wrt b?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, l: 3}. Give prob of sequence ala.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6662624679 to the power of 1\/2, to the nearest integer?\nAnswer: 81625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 + 1. Suppose -2*v = -4*x + x + 1, -3*x = 2*v - 5. Let y(s) = -9*s**3 + 8*s**2 + 6. Determine v*y(h) - 6*m(h).\nAnswer: -3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648.809 milliseconds in minutes?\nAnswer: 0.07748015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s*s*s\/(s*s**(-10))*((s*s**(-47))\/s)\/((s\/s**28*s)\/s))**(-18\/7) assuming s is positive.\nAnswer: s**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 x when four letters picked without replacement from {x: 4, g: 10}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 12. Suppose -q + 0*q = j, -5*i = 3*q - 1. Suppose i*c - 18 = -c. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9abed + 0?\nAnswer: 9abed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19433.049 milliseconds?\nAnswer: 0.32388415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 8 = 0. Let i = 5718 + -5717.89. Which is greater: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1)*(1 - 3)*76\/(-190).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*f - 4395 = -203*f - 269*f + 117 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 2*c - 1. Let b be o(3). Suppose -3*w = 3*w - 2*w. Suppose w*t - 16 = -2*t. Solve t = b*k - k - 4*m, -5*k + m + 21 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rww when three letters picked without replacement from rzww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/11 - -2)\/((-1)\/(-2)). Let v be (-172)\/645 + i\/3. Factor -v*p**4 - 8\/5*p - 2\/5 - 12\/5*p**2 - 8\/5*p**3.\nAnswer: -2*(p + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3)*2\/(-4) - -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 23, 5, -6, 4, -1 in decreasing order.\nAnswer: 23, 5, 4, -1, -6, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955002 divided by 6.\nAnswer: -159167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -166, -444, -834, -1336, -1950?\nAnswer: -2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.2 and -0.48.\nAnswer: 1.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 24. What is n(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380\/7, 1\/10, 2\/3, 0 in decreasing order.\nAnswer: 380\/7, 2\/3, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**2 - 106*z - 1. Give d(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.3 - 18.8. Let z = m + -51. Which is the second smallest value? (a) -0.2 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41624 (base 7) in base 11?\nAnswer: 7787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4896 - 0.7896. Which is the nearest to x? (a) -3\/5 (b) -18 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1031303 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/((y*y*y**(-2\/13)*y)\/y)*y*y*y\/(y\/(y*y**19*y))*y assuming y is positive.\nAnswer: y**(314\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4314, -4178, -4042, -3906, -3770, -3634?\n\"Answer: 136*a - 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -326993 - -5560417\/17. Which is greater: 89 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*2\/(-3). Let q = -135\/493 - -25603\/91698. Is q equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -5 (b) 2 (c) 0 (d) 4361\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 2, x: 1}. Give prob of sequence alax.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k. Let q(v) = -v. Let w(o) = -l(o) - 2*q(o). Let g(f) = -3*f**2. Determine w(g(i)).\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f - 10, -4*n - 4*f = -16. Suppose 2*b = 3*s - 7075, 0 = n*s + 2*b - 1546 - 3164. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100100101101110010 - -101111101?\nAnswer: 11100100110011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 - 40*z**4 - 152*z**3 - 272*z**2 - 228*z - 72 = 0. What is z?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -33 + 1 - 2\/2. Let s = 9 + i. Let p = s - -34. What is the least common multiple of p and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 22 + (-6)\/3. Suppose 2*i = -i - v. Is 7 a factor of 10\/(-1*i\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - 14*i + 8. Let y be m(-8). Which is the third biggest value? (a) 2 (b) 0.8 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58290?\nAnswer: 2, 3, 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -z - s + 24, 4*z + 2*s - 66 = 0. Calculate the remainder when z is divided by ((-105)\/140)\/(3\/(-32)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/7 + 2*x**4 + 2*x**3 - 46*x**2\/7 - 16*x\/7 + 32\/7 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -2, 52, -3 in increasing order.\nAnswer: -18, -3, -2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/10348 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/42277 and 79\/235994?\nAnswer: 15811598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 208973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o + 537 - 1072 + 535.\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1335 - -7305. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2\/15 (b) -0.5 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + (sqrt(637) + (3*sqrt(637) - sqrt(637)) + -4)**2)*4.\nAnswer: -644*sqrt(13) + 22996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -9*b - 3*y + 7*y - 67, -59 = 4*b - 5*y for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 5*a + 4*a)*(-2 + 8 - 2) - 6 + 4 - 3*a + 3 + (-2 + 1 - 1)*(-5*a - 5*a + 2*a) to the form r + u*a and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 25 = -31. Suppose k*m - 21 = -5*t, -t - 4 = -4*m + 1. Which is the nearest to 4\/9? (a) m (b) 3 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/199619 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b = -2*r - 13, 3*b + 17 = -5*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633112 is divided by 211036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129540 divided by -6.\nAnswer: 21590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84 + -73.1. Let y = w - 71.9. Let v = -60.67 - y. What is v rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38111 * -2\nAnswer: 76222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 6. Let i(h) = -3*h - 18. Suppose 0 = 2*t + 6, 2*t + 46 = -5*d. Let p(z) = -z**3 - 7*z**2 + 2*z - 40. Let c be p(d). What is c*w(f) - 3*i(f)?\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 divided by -1?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1829445.\nAnswer: -1829445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v + 101\/42*v**7 + 0*v**4 - 15\/2*v**3 + 0*v**2 + 16 + 0*v**6 + 0*v**5. Find the second derivative of r(j) wrt j.\nAnswer: 2020*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-10)\/t**(-4\/9))**(-44))**(9\/2))**(-33) assuming t is positive.\nAnswer: t**(-62436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Let h be (1\/(-2))\/(w\/(-24)). Suppose -3*p = d + d + 6, -p - h = 4*d. Is 2\/9 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2 - 458*r + 110. What is q(57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (44\/(-12) + 2)\/(3\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -388 - -387. Let r = 4 + -2. Sort y, -4, r, 5.\nAnswer: -4, y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + sqrt(5))*-6*-2.\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Let q be (-2 + 1\/1)*-3. Suppose v = q - k. Solve 0*o + v*o = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18217869*l - 18218024*l - 2015 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -149*a**2 - a + 2. Let c(g) = 298*g**2 + 2*g - 4. Give 11*b(y) + 6*c(y).\nAnswer: 149*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - b + 2*b = 532 - 576, 0 = -5*h + 4*b + 71 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 167, 249, 333, 419, 507, 597?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*353.7795.\nAnswer: -141.5118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = 5*g - 20*o - 9, 0 = 34*o - 31*o + 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - h + 1. Let t(k) = 771*k**3 + 4*k - 50. Let d(w) = -4*g(w) + t(w). Find the second derivative of d(j) wrt j.\nAnswer: 4674*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -6*h + 4*h, -4*f = 12. Let x = h + 147. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g - 8730 = -6442 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 13832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1576, 3147, 4720, 6295, 7872, 9451, 11032?\nAnswer: 12615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 68*a + 49. Let n(l) = -67*l - 50. Let d(k) = 6*c(k) + 7*n(k). List the prime factors of d(-10).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256008?\nAnswer: 2, 3, 10667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-51)\/(-12) - 4 - (-573)\/(-4). Let n = 272 + v. List the prime factors of n.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 12. Let h = 8 - l. Suppose h*z + 6 - 32 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10619 is divided by 213?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1261158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.4 and -0.003.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {d: 6, j: 10, i: 2}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80312045 to the nearest integer?\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*w - 22\/3*w**3 + 4\/3*w**2.\nAnswer: -2*w**2*(11*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*w - 5*w, 0 = 2*w - 6*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3 = 2*q, 3*k - 3 = -4*q - 0*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -908889? (a) 5 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/18*18\/4. Suppose 0 = -2*j - 5*x + 15, -w*j + x + 16 = 2*x. Is 5 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5608, 5595, 5582?\nAnswer: 5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2 - 0 - 50. Let m be 40*-150*(1 + y). Round m to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, -5, -40, -109, -224, -397, -640, -965?\n\"Answer: -2*f**3 + f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a*a*a*a**(-5\/7)*a**6*a**(-12))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-6))\/((-1)\/(-3)). Let q(i) be the first derivative of i**4\/4 + 10*i**3\/3 + 6*i**2 + 10*i + 9. Is q(m) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 421532, 842807, 1264082, 1685357, 2106632, 2527907?\n\"Answer: 421275*c + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317127 divided by -3?\nAnswer: -105709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14289, -28548, -42795, -57024, -71229, -85404, -99543, -113640?\nAnswer: -127689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -148 and -89 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*c**4 - 3\/2*c**2 + 21\/2*c**3 + 0 - 21\/2*c.\nAnswer: 3*c*(c - 1)*(c + 1)*(c + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 7*k + 10. Let v = -11 - -18. Let o be b(v). Suppose -5*y + 3*y + o = 0. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*m + 63, -2*w - 2*w + 3*m + 72 = 0. What is the units digit of ((-108)\/w)\/(3\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4554345 is divided by 13801.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0171 * 839210.\nAnswer: 14350.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17 + 93887*j - 93887*j - 16 + j**2. Let z be (-62)\/(-8) + 3\/12. List the prime factors of w(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 48. Suppose 4*t + 72 + 37 = 3*k, g*t = 2*k - 61. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5770*r - 1286745. Calculate g(-223).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.4, 125338, -0.4, -3, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/(-150)*(3 + -1). What is the nearest to 2 in 0.1, 0.5, c, -8\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 2665578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -415, -0.4, -0.2, -50?\nAnswer: -415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 3*h + 3. Let y be z(4). Let d = y + 15. Solve n = 2*u - 3*n - 18, -3*u + d = -5*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4166 - -0.0356. Let r = -3840.081 - -3840. Let j = r - i. Round j to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816 = -4*l - 9*h - 749, -2*l + 2*h - 12 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*q**2 + 1858 - 1858 - 295*q**2.\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/3 + 7\/4. Let j(i) be the second derivative of i + 0*i**2 + 1\/4*i**5 + l*i**4 + 0*i**3 + 0. What is the third derivative of j(x) wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65\/9 - 2\/9. Let i(r) = 3 - 13*r + 0 - 3 - 2. Let h be i(-5). What is the greatest common factor of h and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4641 + 11?\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 19*t**2 - 26*t + 7. Let w be u(4). What is the highest common factor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -o - 0*f + 13*f, -1106*f + 1110*f + 60 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhzhhh. What is prob of sequence zhh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/2*(1 - 3 - 0). Suppose f*g = 7*g + 6. Solve 15 = -4*c - 3*d, 4*d = 5*d + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/9*2\/14)\/((-2)\/27).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 202, 453, 804, 1255, 1806, 2457?\n\"Answer: 50*r**2 + r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-1175206\nAnswer: -47008.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 401, 796, 1191?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 5*l - 9. Let b be i(6). Let w be b\/5*(1 + 0). Let m be 30\/8 + w\/1. Which is smaller: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + (0 + sqrt(117) + 1)*4 - (-3 + sqrt(117)*1 + -4)*2))**2.\nAnswer: 144*sqrt(13) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbcbccpcbpbcbcbcc. Give prob of sequence ppp.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.301 - -0.365. Let l = m + 0.044. Let r = -0.81 + l. Which is the nearest to r? (a) -0.5 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42396 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.2 - -19. Let r be ((-6)\/15)\/(14\/(-10)). Let u = 8574\/5 - 1714. Sort r, u, t in decreasing order.\nAnswer: u, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -250 + f253?\nAnswer: f003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 1078, 2653, 4858, 7693?\nAnswer: 11158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*n = 21668, 0*n - 43335 = 2*i + 3*n. Let h = -147334 + i. What is h rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4\/7, -50 in ascending order.\nAnswer: -50, 4\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 22. Let d(z) = -z + 22. Determine 6*d(g) - 5*l(g).\nAnswer: -g + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 9*x + 10. Let g be m(5). Which is smaller: 33 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -741*o + 744*o. Suppose -o*l + 78 = 14. Let m = 4\/3 + -5\/3. Which is the second smallest value? (a) 0.4 (b) 0.5 (c) m (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 13*n**2 - 33*n + 22. Calculate l(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 1. Let d be f(-1). Let z(r) = 23*r**2 + 2*r. Let l be z(d). Suppose 2*b = -2*b + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 381.7 - 364. Let v = d - -1.3. Let y = v + -19.00044. Round y to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279633810.\nAnswer: 2, 5, 7, 13, 31, 45361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1415, 1417, 1419, 1421?\n\"Answer: 2*r + 1413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -345*s*x**2 - 664*x**2 wrt s?\nAnswer: -345*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/7)*o*o*o*o)**38 assuming o is positive.\nAnswer: o**(1254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 904\/99 - 92\/9. Put d, 1\/5, -3\/7 in descending order.\nAnswer: 1\/5, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63415784*l**3*w**2 - 129524347*l**3 + 5*l**2*w**2 + 2*l**2*w wrt w.\nAnswer: 126831568*l**3 + 10*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -4\/7, 0, -1\/72, -7\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 523 + 1745. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 6*l = -38, f + 17 = -0*l - 3*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 36*b**2 + 1066*b\/3.\nAnswer: 2*b*(b + 13)*(b + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -5\/6*u**3 + 0*u**2 - 4*u - 2. Let d(g) be the first derivative of f(g). Let p(q) = -2*q**2. Give p(d(z)).\nAnswer: -50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054913?\nAnswer: 4054913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -53160.34 to the nearest one hundred.\nAnswer: -53200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11695 + 38628?\nAnswer: 50323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**3 - 98*o**2 + 9*o - 24. Determine h(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133879 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 248137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43801\/23 + -1904. Let j = 1827\/92 + p. Find the common denominator of j and -111\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5146268.\nAnswer: 2, 137, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-63) + -2 + -9*4\/42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2242 + -18692\nAnswer: -16450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1176900 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 - 948*d\/5 + 112338\/5 = 0.\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:03 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6*3)\/6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + (2 - 2) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 9 - 1. Suppose -2*j = j + 12. Sort j, -3, s in ascending order.\nAnswer: j, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 10.99956. Round a to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4392 + 4396. Solve -5*y + w*x = -30, 4*y + 4*x - 4 + 16 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 371, 994, 1617, 2240, 2863?\n\"Answer: 623*o - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let j(l) = l. Let p(y) = -5*y - 2. Let w be -1 + -3 + (-5)\/(-1). Let o(c) = n*j(c) + w*p(c). Differentiate o(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58034 - -1585?\nAnswer: -5666b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145290536?\nAnswer: 2, 47, 386411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 285*l - 4551. Calculate b(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 445279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a + 882842 = 877691 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(sqrt(700) + 0)*5)**2 + -3*(sqrt(7) + (sqrt(175)*2)**2 + -2).\nAnswer: -3*sqrt(7) + 627909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42\/30 - 2\/5. Let p = 16 - 11. Suppose p*t + v - 20 = 0, -2*t + w + 7 = 2*v. Calculate the least common multiple of 22 and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -867118, -3468488, -7804096, -13873936, -21678002, -31216288, -42488788, -55495496?\nAnswer: -70236406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2. Let i be z(-3). Suppose 0 = i*j - t - 22, 20 = 4*j - t + 2. Suppose -4*n + a = 4*a + 21, -n - 3*a = 12. Put 3, n, j in decreasing order.\nAnswer: j, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278978?\nAnswer: 2, 7, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60364 + 126512. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 7. Suppose 4*p - 1825 = -3*d, 3*d + 2*d = -2*p + 3051. Let q = d - 611. What is the closest to q in -5, 7\/4, o?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 8}. Give prob of picking 4 j.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h = 0. Suppose r + 2*m = -0*m + 7, 5*r = -4*m + 23. Suppose s = -2 + r. What is the closest to s in 1\/5, h, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 3, 0, -67 in descending order.\nAnswer: 7, 4, 3, 0, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + -4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47899 is divided by 47872.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616 a factor of 24933096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5705, 2, 3, -13, -5.\nAnswer: -5705, -13, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 652*c**2 + 2*c - 1. Is m(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161485300.\nAnswer: 2, 5, 23, 61, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k**2 - 39*k + 75. Let d be x(-7). Solve d*m - 2*l - 1 = 0, 7*m - l = 2*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207527225 - 5?\nAnswer: -207527231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 185*s**2 + 134*s + 395. What are the prime factors of b(93)?\nAnswer: 2, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 8\/97, 4, -13?\nAnswer: 8\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -987*f**3*r - 3*f**3 - f*r**2 + r**2 - 55*r - 58 wrt f?\nAnswer: -2961*f**2*r - 9*f**2 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 - 2*w - 3. Calculate l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 826047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-51)*(-9)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*v - 0*v. Let a(n) = n + 5. Calculate the remainder when v is divided by a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 46. Let k be (-5)\/p*336\/(-70). Let l = k + 79. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 400063 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19110903?\nAnswer: 3, 7, 19, 211, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g + 1. Let q be t(2). Let f = -4 - q. Let w be (-3)\/18*3\/2. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/10 + q**3\/3 + 5*q - 3. Let o(g) be the first derivative of n(g). What is the second derivative of o(k) wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((16\/(-112))\/((-3)\/14)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -572*d - 1673. Let g = -12 + 34. What is the remainder when i(-3) is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)\/(3\/(-120)). Calculate the greatest common divisor of a and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddiddddd. What is prob of sequence ddid?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/288 - ((-62)\/(-18) - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/26))\/n*n**(-2\/11)*n**(2\/9)\/((n**(-30)\/n)\/n*n))**(-2\/17) assuming n is positive.\nAnswer: n**(-79997\/21879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 35*z**2 + 20*z - 36. Let n be w(18). Let c be (4\/1316)\/((-1)\/(n - -2)). What is the smallest value in -1, c, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 22*i**2 - 13*i - 300. Give g(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let n = -20 + 28. Suppose f - n = -2. What is the smallest common multiple of h and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -1.9. Let h = 30.3 + 153.7. Let n = h - 187. Put 0, n, o, -5 in descending order.\nAnswer: o, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -28*g + 24*g - 45, 0 = 4*z - 4*g - 40. Suppose 0 = -z*f - 2*j + 1159, 3*f + 11*j - 695 = 10*j. Calculate the remainder when f is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-12))\/(111\/(104895\/126))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4103 (base 7) to base 4\nAnswer: -112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1007, -3856, -8597, -15224, -23731, -34112?\nAnswer: -46361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 184. Let a = y - -73.99986. What is a rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -67\/2, -8\/13, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 + 2672*i**2 - 26609*i - 29282 = 0.\nAnswer: -1, 11, 2662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044848 rounded to six decimal places?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 19*z**2 - 77 + 142 - 54 - 2*z**2 - 2*z**2 + 6*z**2 + (4 - 4 + 1)*(2*z**2 - 3*z**2 + 0*z**2).\nAnswer: 20*z**2 - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 5*i**2 - 3*i**2 + (i - 3*i + 3*i)*(-11*i - 16*i - 54*i).\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + d. Let j(p) = 1286*p**2 - 10*p - 2. Determine 8*a(o) + j(o).\nAnswer: 1302*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -838?\nAnswer: 335.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155365 is divided by 619.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. Let x = -128 + 136. Sort 0.3, x, g in increasing order.\nAnswer: 0.3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208)*1)**2 + sqrt(208) - (sqrt(117)\/(-1*sqrt(441)))**2.\nAnswer: 4*sqrt(13) + 366899\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-7)\/3 + (-47 - -50). Let h = -74 - -38. Which is the fourth smallest value? (a) 5 (b) 2 (c) g (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*v - 76 = 0, 0*u + 4*u = -v + 53. Let f be 2 + -3 + 1 - -2. Calculate the greatest common factor of f and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (121 + -41 - (-1 + -4 + 5 + 2)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let a(d) = 312*d + 1123*d + 220*d - 19*d - 20*d. What is j(a(i))?\nAnswer: 1616*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, n: 5, o: 2, i: 3}. What is prob of sequence ikn?\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Let d(f) = f**2 + 6*f + 5. Let w be d(k). Sort 0.2, w, -3\/4 in increasing order.\nAnswer: w, -3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t. Let y(v) be the third derivative of v**5\/60 - 6*v**2. What is j(y(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 138042 - 54486. Let z = 85688 + r. What is z rounded to the nearest one thousand?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 26*u + 819. Calculate the remainder when k(-11) is divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6245214 days?\nAnswer: 899.310816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/w**(-2\/53))\/w))\/((w*((w*w*w\/w**(-2\/85))\/w)\/w)\/w*w*w) assuming w is positive.\nAnswer: w**(-9286\/4505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 76?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 3*i)*(-10 + 10 + 22*i**2).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.752 + -1.652. Which is the closest to 0.06? (a) k (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 + 1152*n\/5 - 21060.\nAnswer: -3*(n - 234)*(n - 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 + 2 = 0. Let 3*d**3 + 0*d**f + 2*d + 0*d + 3 - 3*d**2 - 5*d = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4181)\/6780 - 2\/15.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 346*a - 109. Let z be y(1). Solve -z*u + 228*u = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*r + 10. Is r bigger than 14\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Suppose z = -m + 2*h + 3 + 5, 5*h + 20 = 0. Suppose -8 = -4*q, 4*p + 0*q + 3*q - 18 = m. Sort -1, 2, p in decreasing order.\nAnswer: p, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rwxrrpx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 2. Let q be i(-12). What is the lowest common multiple of (48\/20)\/(2\/q) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -417 (base 9) to base 2.\nAnswer: -101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 15540\/156) + 1584\/(-1144).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -628, -1255, -1884, -2515, -3148?\n\"Answer: -p**2 - 624*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923339 is divided by 1170?\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-3)*(-6)\/2*(-732)\/2562. Solve 7\/4*i**2 - 7\/4*i**r + 9\/4*i**3 - 5\/2*i + 1\/4*i**5 + 0 = 0 for i.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -76, -102, -128, -154?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b65 (base 13) in base 16?\nAnswer: -102b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-75))\/((((-280)\/(-50))\/(-14))\/((-168)\/(-210)))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -372, -1208, -2468, -4146, -6236, -8732, -11628?\n\"Answer: o**3 - 218*o**2 - 189*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 1524 = -5*s. Let f = s - 112. Solve 10*j - f = 7*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 1213365 (d) 0.1 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103431 divided by 6?\nAnswer: -34477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59895 and 5940.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44617580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.365 to 0 dps.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1593*h + 10. Let w(i) = 531*i - 3. Let f(o) = -4*m(o) - 11*w(o). Let c be f(2). Suppose 5*q + 2*s = 1317, c = 3*q + q + 3*s. Does 38 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -451678*s**3 - 14*s**2 - 429*s + 3.\nAnswer: -2710068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*n + 18, -13 = 3*h + n - 35. Solve -5*f + 0*f = p + 3, -h = -3*f + 2*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5 - 1. Suppose b + 11 = -4*v - 0*v, t*v + 10 = 0. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056345 to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -715. Let j = u - 184. Suppose -4*d - 3*l + 2*l + j = 0, 209 = 5*d - l. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*y - 13*y + 12*y)*(-11*y + 5*y + 13*y) + y**2 + y**2 - 4*y**2 in the form l*y**2 + j*y + d and give l.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1592619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107524 is divided by 942?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 8) + 11 + (-7 - 7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 2*u**4 + 251*u + 0*u**4 - 2*u**3 - 259*u as k*u**2 + l*u**4 + z*u**3 + q*u + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 503*n - 5128. Determine s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 28*u**3 + 7*u**2 - 32*u - 5. Let x be a(4). Suppose -i = 5*t - 371, -12*i = -7*i + 4*t - x. What is the highest common divisor of i and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166441*c - c**4 + 8*c**3 - 166441*c - 50*c**2 to g*c**4 + y + l*c + d*c**2 + a*c**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.30612 to two decimal places.\nAnswer: -55.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 30\/7 of a week?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24720 + 13?\nAnswer: -24705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 112 = 406. Suppose -2*q = -14*q + 8568. Calculate the highest common divisor of a and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**5\/300 + 13*s**4\/120 + 6*s**2 - 2*s - 4. Let y(r) be the second derivative of h(r). What is i in y(i) = 0?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151492661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3050 is divided by 584.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0077 - 0.07.\nAnswer: -0.0623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q + 100239 - 18591 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdad when four letters picked without replacement from {l: 1, d: 3, q: 2, z: 4, a: 6}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 395. Calculate the least common multiple of a\/(-8) + 2\/16 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 522 and -1?\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (742\/(-84) - -9)\/((-3)\/(-4)). Sort -550, -2\/3, f in ascending order.\nAnswer: -550, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136959.3 times 0.5\nAnswer: -68479.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -31*i**3 - 2*i**2 + 2*i - 2. Calculate h(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) 37\/4 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -5.824 (c) -0.16 (d) -0.5 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21505\/33 + (-2)\/3. Calculate the highest common divisor of 155 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10+9110.3306\nAnswer: 9120.3306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9 - 95*u - 2*u**2 + 110*u - 1. Let o be v(8). Let p = -4 - o. What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(735) + sqrt(735))\/(sqrt(12)*-6) + -4*(5 + 1 + sqrt(405)))**2.\nAnswer: 1812*sqrt(5) + 123221\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 45. Let c(m) = m + 2. Let b be (-8)\/20 - 13\/(195\/(-36)). Let i(z) = 2*z + 3. Calculate b*i(l) + x*c(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 142.4. What is y rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 6*n + 7. Suppose -77 = -0*x - n*x. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42\/5 of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79813177537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 827285311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 32. Calculate the least common multiple of 28 and v(0).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496069 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6))\/sqrt(2)*5*3.\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8353a + -9?\nAnswer: 83531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 4. Let p(u) = u - 7. Let l = 162 + -159. Give l*p(h) + 5*j(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -113, -117, -129, -155, -201?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.774066 hours in microseconds?\nAnswer: 24386637600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-36)*(-68)\/85.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 34*b - 8. Let f be i(-9). Let r(d) = 9*d**2 - 12*d - 15. What are the prime factors of r(f)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niq when three letters picked without replacement from {q: 1, b: 1, i: 3, n: 3, o: 2, f: 8}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5603, -3, 1, 2, 0, 63, 3 in increasing order.\nAnswer: -5603, -3, 0, 1, 2, 3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*n = -3*t + 420*n + 10, 4*t - 23 = 3*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 13 - 140) + 23 + -38 + 9?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 13*f + 14. Let u(j) = j**3 + j**2 - 4*j + 3. Let n be u(2). What is the smallest common multiple of 9 and t(n)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s + 10. Let i be v(11). Let m be (-4)\/(-6)*(-99)\/(-22) - i. Let a(b) = b**2 - 5*b + 6. List the prime factors of a(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10023 (base 4) to base 3.\nAnswer: -100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -25*b**2. Let g(h) = -3*h + 5. Let x(n) = n - 2. Let u(j) = -2*g(j) - 5*x(j). Give u(p(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 + 5*x**3\/3 + 2*x**2. What are the prime factors of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.65 + 33.65. Let d = -158.229 + 125.22835. Let c = m + d. What is c rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + q - 16, 4*a - 3*q - 16 = -q. List the prime factors of ((-4)\/a)\/(4\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.634 times -1\nAnswer: -13.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:19 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 15*l**2 + 54*l - 24. Calculate n(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -8, 7, 22, 37?\n\"Answer: 15*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173370307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*j**3 - 37 + 37 + 319*j**3 + 1155*j**3.\nAnswer: 1288*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((4 + sqrt(320)*2 - (sqrt(5) - sqrt(20)*2 - (sqrt(180) + sqrt(180)*2 + sqrt(180)))) + 1))**2*-6.\nAnswer: -55620 - 2580*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135322 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46202.\nAnswer: 2, 13, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 0.16, -5, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 - (-21)\/42. Let n(u) = -u**2 - 2*u + 17. What is the remainder when n(m) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-957)\/(-66) - 38)*-2?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y. Let q(v) = -4075937*v**2. Give l(q(r)).\nAnswer: -16303748*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 140484 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Suppose -3*y - 3 = -0*y, 3*f + y + 4 = 0. Let l(h) = h**2 + 3*h + 3. Let r(b) = f*l(b) + 3*z(b). Let q(v) = v**2. Give q(r(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*1*24\/9. Find the second derivative of -2*n**3 - v*n**3 + 7*n**3 - 4*n wrt n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 26*l - 19*l. Let f be (-2 + l + (-228)\/(-36))*3. Solve 5 = 6*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 20, 4*j - 65 = -2*z + 81. Let t = 80 - z. Which is greater: t or 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/139361015 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.2. Which is the closest to r? (a) 0.3 (b) -3\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*((h**2\/h*h)\/h)\/h)\/h*h)\/h)**(-2\/79)\/((h*h\/(h\/((h*h*h**(1\/5))\/h)))\/(h*h*h**(-5)*h)) assuming h is positive.\nAnswer: h**(-1679\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*y**4 - 167*y**3 + 325*y**2 - 21?\nAnswer: -1152*y - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 4*i**4 - 3*i**5 + (-3*i + 2*i - i)*(-3*i**4 - 2*i + 4*i + 0*i**4).\nAnswer: 3*i**5 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 5. Let x be w(5). Let z be ((-12)\/(-22))\/((-12)\/(-88)). Suppose x = -8*j + 4*j + z*f + 60, 15 = j + 3*f. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.88 + 1.8799485. What is h rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 4*g + 5. Let v(u) = -7*u - 24. Let r be v(-12). Suppose 9*b - 5*b = -r. Let f be 3\/5 - 51\/b. Determine j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*z = -2, i = 4*i - 5*z + 26. Let c(r) = -13*r**3 + 4*r + 4. Does 8 divide c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 = -5*v - 10, 0 = 4*n + 2*v - 10. Let x be n\/9 - 34\/(-6). Is (-222)\/4*x\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 19*n**2 + 13*n - 1. Let j(c) = -c**2 - c. Let o(y) = -f(y) - 5*j(y). What is the units digit of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11) + sqrt(11) + (sqrt(1584) + 2*sqrt(1584))**2 + 1.\nAnswer: 2*sqrt(11) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 24. Determine b(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uggguuggggg. Give prob of sequence guu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*15\/(-6). Let f(h) = h - 4. Let g be f(7). Let s = g + -2. What is the biggest value in s, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2033*n + 4151. Let s be f(2). Which is smaller: s or 131?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q + 1. Let j be o(-1). Let g be j - (1 + (-3)\/(-3)). Suppose a + s = 3, s - g = -3*a - 0*s. Solve -5*x - 18 - a = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1 + 4*d - 4 + 4 + 0. Let r(h) = 13*h**2 + h - 2. Let s be r(1). Let o = s + -9. Determine m(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15762636 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 9)*(-2*t**2 - t**2 + t**2) to z + m*t + p*t**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015946729 rounded to six dps?\nAnswer: -0.015947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -397*1\/(-19) + (-4)\/(-38). Let x be (-4)\/20 + 2\/(10\/v). Let h(t) = 11*t**2 - 4. Let f(d) = 12*d**2 - 5. Determine x*f(y) - 5*h(y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 610857144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + -16 + -7 + 16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31742 is divided by 7910.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 2\/7 (c) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1221 + 1226. Suppose -f - 2*f - 24 = 3*y, -2*y - 4 = -f. Put 0, f, r, 2 in ascending order.\nAnswer: f, 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/26)\/((-42795)\/(-585) + -73). Suppose j*x**5 - 3\/2*x**3 - 3\/2*x**4 + 7\/2*x**2 + 0 + 3*x = 0. Calculate x.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14989 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: In base 8, what is -2425 + 1705?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 - 47443?\nAnswer: -47230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*m - 5*i + 30, 0 = 2*i - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 4. Let k(c) = 4*c - 5. Let a(v) = -3*h(v) + 4*k(v). Let s be a(-18). Let r = 31 + s. Solve r = 2*j - 3*l + 1, -5*j - 3*l - 32 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by 3\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353049, 353061, 353081, 353109, 353145, 353189?\nAnswer: 353241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*g + 15, -2*i = 4*g - 3*g - 5. Suppose -l + i = -13. Does 5 divide (-50)\/(-3)*l\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -11, 46, 169, 382, 709, 1174, 1801?\nAnswer: 2614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -1129a?\nAnswer: 11297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, m: 11}. Give prob of sequence fm.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5068052 is divided by 1267013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 252, -6, -430, -1020, -1776, -2698?\n\"Answer: -83*c**2 - 9*c + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29627147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43518779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 2*h - 4. Let v be o(-1). Suppose 3*x - 31 - v = -4*u, -3*x + 25 = 2*u. Solve 10 = -x*l - 3*f - 2*f, -6 = 3*l + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9))**(1\/10)\/(u**(-7)\/u*u*u**(2\/19)) assuming u is positive.\nAnswer: u**(5914\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 7}. Give prob of sequence jju.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2276a18 (base 11) to base 2\nAnswer: 1111001010111011011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 79063314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1214?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -38*q + 3. Let w(x) be the first derivative of 21*x**4 - 24*x**2 - 52\/3*x**q - 6 + 16*x. Solve w(k) = 0 for k.\nAnswer: -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4132 and -3?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 18*f**3 - 1153*f**2 + 65*f + 48. Give v(64).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 + (0 - (-14 - -9)) + (14 - -27))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/245825 or 0.3?\nAnswer: -4\/245825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*u + 55*u - u**2 + 56*u to t + f*u + o*u**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 283. Let j = q + -128. Solve -j*f + 3*f = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p**3 - p - 1. Let x be j(-1). Solve b - x = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -25. Let y be 19\/i + 5\/25. Solve 3*p + 1 = y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 2. Let l(u) = 64*u - 3. Let c be l(0). Determine m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9*(731\/51)\/(1\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - k**2 - 2*k + 1. Let j be l(1). Suppose -b + 5*s + 32500005 = -0*s, j*s + 162500002 = 5*b. What is b rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 14*r**2 + 16*r - 29. Let o be b(13). What is the greatest common factor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3, -25.75, -2 in descending order.\nAnswer: 3, 3\/4, -2, -25.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 3) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4771544987.\nAnswer: 11, 181, 199, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -894, -1672, -2450?\nAnswer: -3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 12*n. Let x = 5 - 6. Let y(p) = p + 1. Let d(i) = x*v(i) - 3*y(i). Does 5 divide d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:52 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4 (c) -3\/5 (d) 9 (e) -609\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 26.46957711802?\nAnswer: 43.46957711802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-72) + (-4807)\/(-69).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/99)\/(6 + 28\/(-12) + -3)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2217955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 53882 = -44518. What is d rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 31\/3 + (-2)\/(-3). Let d = 15 - q. Suppose -j = -5*j - 2*m + 108, 0 = 3*j + d*m - 81. Calculate the remainder when 51 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53097336 to the nearest integer?\nAnswer: 7287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378 and 999?\nAnswer: 13986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/((l\/l**(2\/71))\/l*l)))*l)\/(l**(-15)\/l) assuming l is positive.\nAnswer: l**(1138\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w - 3*w + 7*w + 20*w**2 + 20*w**4 wrt w?\nAnswer: 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/7156 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -6.4840874?\nAnswer: 129.681748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 19 = -4*k. Let y(q) = -10*q - k*q + 23*q - 13*q. Let p(n) = -15*n. What is p(y(h))?\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 + 8*t**2 + 7*t**2 - t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 4. Let n(b) = -264*b - 352. Calculate n(h) - 88*q(h).\nAnswer: -176*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + 11. Let h(p) = -2 - 2 + b*p + 0*p. Let v(n) = -n**3 - 2*n**2 - 2*n - 43. Let o be v(-4). Determine h(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 64 = -5*w. Suppose 24*m - 11601 = 13695. Suppose 11*p - m = -6*p. Calculate the remainder when p is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59051?\nAnswer: 59051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 6*v**2 - 10*v + 1. Calculate the remainder when j(-6) is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -7\/2 (c) 5\/2 (d) -192 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 21*k = 40, 3*k - 616 + 622 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-100)\/15))\/((-90)\/(-1500)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10956 and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a factor of 839412106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**6 + 709*r**5 - r**3 - 243110*r**2?\nAnswer: 480*r**3 + 42540*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*d + d - 4*d)*(-14 - 6 + 2)*(-3 - 3 + 5)*(4 - 3 - 2)*(3*d**2 + 10 - 10).\nAnswer: 1296*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33178.1778 rounded to the nearest integer?\nAnswer: -33178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954470061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/((-10)\/40). Suppose 0*i = 5*i - 70. Suppose -8 = k*f, 4*j = 4*f + i + 38. Solve -w - j = -4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 1233*o**2 - 3309*o - 1658868. Give x(-616).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(72) + sqrt(2) + sqrt(6)\/(sqrt(3)*3)).\nAnswer: 88*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592043286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*i**6 + 5*i**2 + i**6 - 7*i**2 + 11*i**2 wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/7)*z**(-2\/23)\/z)\/((((z\/(z*z\/(z*z*z*z**(-2\/7)*z))*z)\/z)\/z)\/(z*z**(-4\/7)\/z*z)))**(2\/33) assuming z is positive.\nAnswer: z**(-270\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 2*a**2 + 3*a - 2. What is the remainder when 38 is divided by l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 6*v)*(9 + 0 + 4)*(-4*v**4 + v**4 + 2*v**4).\nAnswer: -104*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*j = -4, 3 + 19 = f - 5*j. Suppose -2*r + 3*r + 4*d = 352, -3*d = -f*r + 671. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4691034.\nAnswer: 2, 3, 23, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 109, 100, 77, 34?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494105731910.799986 - -494100879215.8. Let y = 4852710 + x. Let w = 15 - y. What is w rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154018\/21 + 7338. What is the common denominator of l and 23\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 67.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*p + 162 - 162 to o*p + f and give o.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 38*o + 14. Let d = 30 - 29. Let b be 7\/d*(-16 + 19). Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4505*l = 4620*l - 9032*l - 8370 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 2*d**2 + 21*d + 41. Is m(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*n = 32, 2*k - 3*k - 3*n + 14 = 0. Suppose 12 + 13 = k*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/25813, -9\/7, -0.3 in decreasing order.\nAnswer: 1\/25813, -0.3, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 7*i + 10. Let f be n(-7). Let u be 35\/11 + f\/(-55). Let b = u - -10. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*t = -2*t + 5, 0 = -3*r + 3*t. Suppose -4*g - 5*v = 25, 0 = -r*g - 2*v - 2*v - 29. Let q(w) = -8*w - 3. Is 15 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328428?\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 540 = 590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/127817 or 0?\nAnswer: -178\/127817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Suppose -10*u - 18 + 48 = 0. Let z(b) = 5*b - p*b**2 - u*b + 7*b**2 - 5*b**2. Determine z(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 7 - 7793*f**2 + f**3 + 7794*f**2.\nAnswer: 3*f**3 + f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*u = -14. Solve u*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-6)\/1)*-1. Let o be 1\/4 + (-110)\/h. Let y be (-10)\/35 - (-46)\/o. Solve -y = 5*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:15 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + 2*x)*(3 - 1 + 0) - 3 + x + 3 + 1 - 1 - x - 15*x - 104*x - 74*x + (-3 + 0 + 4)*(-x - 2 + 2) - 2*x + x + 3*x.\nAnswer: -188*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761619?\nAnswer: 3, 127, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 350901 divided by -307\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 x when four letters picked without replacement from sxcxxsmxhscl.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, h: 2, a: 3, z: 2}. What is prob of sequence zkkz?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 + k**2 - k**2 + 0*k**2 to q*k + y*k**2 + h and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 20. Put -4, n, -2 in decreasing order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/8)\/(6\/4). Let g = 0.4 - -0.4. Let x = g - 0.8. What is the nearest to x in r, 5\/4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -852485 divided by 123\nAnswer: -852485\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*q, -4*u + u - 6 = -3*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) 0.346 (d) -0.1 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/60 + 25*v**3\/6 - 6*v**2 + 82*v. Let d be 1\/2*(0 - 0). Is s(d) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 3074.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 118.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 9, 46, 139, 312, 589, 994?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 - w**2 - w - 1. Let r be f(2). Let g(x) = -25*x - 25. Let j be g(-6). Calculate the greatest common factor of r and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*s + 157973 - 25996, s - 4*x - 32990 = 0. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23829 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 114, 115?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7122525?\nAnswer: 3, 5, 23, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154605*j*t**3 - 8*t**3 + 3296*t**2 wrt j.\nAnswer: 154605*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z + 1. What is the units digit of h(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893368 divided by 106.\nAnswer: -8428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k + 88 = -46*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*x + 5714, -5*c = -93*x + 89*x - 14285. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/87 + -4\/29. Factor 0 - 1\/3*x**4 + 0*x + 0*x**3 + v*x**2.\nAnswer: -x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1776, 113, 5666, 14883, 27764, 44309?\nAnswer: 64518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2484654 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*x = 255*x - 9*x - 40*x - 13992 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.05 - 3.486. Let d = 0.364 - n. What is the closest to -17 in d, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*w**2*z**2 + 4*w**2 + w*z**2 - w*z + 38062*z**2 + 9*z + 6670 wrt z.\nAnswer: -14*w**2 + 2*w + 76124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhnhnnnn. Give prob of picking 3 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*s - 9662 = 65*s + 13922 + 10008 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8466961?\nAnswer: 8466961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Suppose -p*x = -0*x - 12. Suppose 0 = -0*i - 11*i + 33. Solve -4*b - i*a = -x*a + 20, 4 = -4*b - 3*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17340, -69663, -157432, -281109, -441156, -638035?\n\"Answer: -77*w**3 - 17261*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -228.6 and 45215323.\nAnswer: 45215094.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -3, -4, 2, -20 in increasing order.\nAnswer: -20, -4, -3, 2, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 232*l**3 + 3616*l**2 - 16128*l.\nAnswer: 4*l*(l - 36)*(l - 14)*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 991 = 10789. Suppose 7*s - 3*s = a. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748871 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13 + -0.03. Let j = 10 + -9.6. Which is the nearest to j? (a) 3 (b) -2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237834.\nAnswer: 2, 3, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 5)*(-1 - 2*f**2 + 1) + 30*f**2 + 99*f**2 - 70*f**2)*(5 - 2*f**2 - 5).\nAnswer: -106*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 5*g - 205, 826*g - 831*g + 25 = m. Calculate the highest common factor of m and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11 - 6*r + r + 3*r. Let d be s(-8). Suppose 0 = d*g + 23 - 78. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*k**3 - 17*k**3 - 32*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 34137.27ng in kilograms?\nAnswer: 0.00000003413727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552103886?\nAnswer: 2, 229, 1205467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 863\/15 + 299\/3. Let z = 4607\/30 - l. Find the common denominator of -61\/40 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -21*a**2 + 14*a + 14. Let q = -109 + 104. Let n(z) = 7*z**2 - 5*z - 5. Determine q*k(j) - 14*n(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 10) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 29. Put 3, j, -2 in descending order.\nAnswer: j, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62a - 0?\nAnswer: 62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + 0) - (19 - 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0*l - 12. Suppose -l*q - 34 = -2*q. Let o be (-268)\/q - 10\/(-85). Calculate the greatest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 54 = -3*h. Let v be (-4)\/h - 190\/(-45). Let q be 77\/49 - (-3)\/7. Solve 3*f - 9 = v*r, -5*r = -q*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34144 divided by 4\nAnswer: 8536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (-40 - -38).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4, 1\/5, 71\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 - 12*p - 12. Let f(t) be the first derivative of t**4\/2 - 7*t**3\/3 - 23*t**2\/2 - 23*t + 44. Let z(u) = -4*f(u) + 7*j(u). What is z(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198276 is divided by 197635?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + 163 + (-15)\/(-3) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 0*n - 121360 - 3*n + 121360.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 18*d**2 + 45*d - 24.\nAnswer: -3*(d - 1)**2*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199930651?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 15*f - 20 = 0. What is the smallest common multiple of 6\/f*-4*(-15)\/(-18) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 11 = 59. Suppose -4 = -3*z + 5. Suppose z*b = 5*b - q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/2 + 1047*o**2\/2 + 47616*o + 1297350.\nAnswer: 3*(o + 62)**2*(o + 225)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 475957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59937 - 59936.99962347. What is s rounded to six dps?\nAnswer: 0.000377","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2098 divided by -44.\nAnswer: -1049\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 + 8*w + 9. Let p be f(-5). Let x = 128 - p. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -48869 and 576.\nAnswer: -28148544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 4*i - 22, -4*k = 12*i - 16*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:15 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*247.1.\nAnswer: 1235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/3 - 1. Suppose 2*s + 10 = 32. Let n(m) = s - 2*m**2 - 11. What is g(n(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*w - 30 = -2*x - 705*w, -6 = -4*x + w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(3159)*1*5)\/((sqrt(192)*1*-1 - sqrt(192))*-1).\nAnswer: 45*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 5*v**2 - 2*v - 1. What is p(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1483, 2968, 4467, 5986, 7531, 9108, 10723, 12382?\n\"Answer: g**3 + g**2 + 1475*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/84)\/((-625)\/875) + (-2)\/20?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-10 + 3 + 5 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202100100 + -20221?\nAnswer: 2202002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/11 + 26*x**4\/11 + 62*x**3\/11 - 202*x**2\/11 - 280*x\/11 + 392\/11 = 0.\nAnswer: -7, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/112 and 52\/11.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukw. What is prob of picking 2 u and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8364843.\nAnswer: 3, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/19, -0.2, -80, -19, 0.1, -76\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*j + 55 - 38, j = 1. Let 58*n**2 - 390*n - 22*n**2 + 16*n**w + 398*n = 0. Calculate n.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 131999868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -130031265?\nAnswer: 130031264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 489 and 10595.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1219*x - 1280*x - 1703*x - 2 in the form b*x + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 193 = -841. Solve l*z - 53*z = -6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6661974 centimeters to millimeters.\nAnswer: 6.661974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1 - (-826)\/(-84)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-9)\/(-10) + (-14004)\/9720*27\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4505 - -17160. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 15*v + 8 = 20*v, i = 5*v - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72055 is divided by 35899.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) -1\/3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/161*-1*(-896)\/(-1120)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**2 + 3*a**3 + 7*a**2 - a**3 + 2*a to t*a**2 + p*a + d*a**3 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -33. Let z = 38 + x. What is the second derivative of 10*m**4 - z*m + 37*m - 3 + 3 wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 18 - 7 + 2*m**3 + 23.\nAnswer: 2*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(85)\/(1*sqrt(5)))**2 + (sqrt(34)*1)\/sqrt(2))*6.\nAnswer: -102 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64685 (base 9) in base 5?\nAnswer: 2332340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/18))**33 assuming r is positive.\nAnswer: r**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*p + p + n, -2*p + 26 = 4*n. Suppose 5*c + p*f = 438 + 233, -c + 139 = -f. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let r = 80 - 80. What is the nearest to r in 1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + 13*q + 4. Let l be n(3). Suppose -4*h + 63 = 5*t, t - 3*h = l - 2. Solve t + 1 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-3 - (-9 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Calculate the remainder when 22 is divided by (1*b)\/(6\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 260 = 2*d, -5*j - 139 + 462 = -3*d. Is j at least 65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(12) - sqrt(5)) + sqrt(500) + 0 + (sqrt(5)*3 + -1 - (sqrt(20)\/sqrt(4))**2*-4).\nAnswer: 19 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14572 is divided by 342.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-164)\/(-10) - (-6)\/(-15). Let c = -118 - -230. What is the highest common factor of c and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y + 141626 = 294*y - 132343. What is the remainder when y is divided by 361?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 6*m**2 - 3*m - 13. Is g(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666493 - 8*q + 2*q**3 - 666493.\nAnswer: 2*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 10*d**2 + 10*d + 1. Let l be u(9). Solve 3*b - 2 + l = -4*n, b = 5*n + 29 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12701549.271993 minus -0.2?\nAnswer: -12701549.071993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868980 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -9) + 1 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338215 is divided by 4743.\nAnswer: 4659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, y: 4, s: 1, i: 5, p: 1}. Give prob of picking 1 i and 2 g.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 9. Give a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2206725692.\nAnswer: 2, 551681423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2909190 is divided by 512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 856 + -549. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/60 + o**3\/2 + 2*o. Let h(w) be the second derivative of x(w). Suppose 1 = 5*c - 4. Calculate h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 531030?\nAnswer: -531024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 7, p: 1, e: 4}. Give prob of picking 3 d.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbbbgbbbbg. Give prob of picking 1 g and 2 b.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0135918 - -0.03.\nAnswer: 0.0435918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -27*q**5\/5 + 51*q**4\/2 + 17*q**3 - 51*q**2 - 24*q - 59. Suppose v(x) = 0. What is x?\nAnswer: -1, -2\/9, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829.1812 kilometers in micrometers?\nAnswer: 829181200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 988571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - 85?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 a when four letters picked without replacement from {a: 2, k: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 11) to base 9\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2. Let x be f(4). Let k be (-351)\/x*6\/(-9). Suppose 3*v = k + 33. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 25, -3*d = 5*g + d - 30. Find w such that w**2 + 24*w + 7*w**g + 9*w**2 + 9 - 2*w**2 = 0.\nAnswer: -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 5*i**2 + 2*i - 5. Let a(y) = -2*y**2 + 4*y - 4. Let t be a(2). Determine b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 142, 273, 406, 541, 678, 817, 958?\n\"Answer: b**2 + 128*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 10. Let f = 14 + p. Let u be 4*70\/320*4\/(-14). Which is the third smallest value? (a) 0 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3192 and 2280?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + -1?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/100360 and 47\/6240.\nAnswer: 1204320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48180*d**5 + 222*d**2 - 62*d - 1?\nAnswer: -2890800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2 - 2)*(-399 - 575 + 822).\nAnswer: 152*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -5, -0.06, -3\/2, -1625?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/8 - 29*k**2\/2 - 3245*k\/8 + 3481\/4 = 0.\nAnswer: -59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 414*m + 1133. What are the prime factors of o(4)?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 35, 3, 4, -4, 1251 in decreasing order.\nAnswer: 1251, 35, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57296339557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 16*d - 5. Let j be l(8). Let y = 1 - -1. Suppose 2*u - y = -4*q, 3 = -5*u - 3*q + 8. What is the nearest to u in j, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4*l + 4, 18*l = -4*k + 15*l - 3. Suppose 67*r + 81 - 416 = k. Solve -r*f = -4 - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -47*q**3 - 2*q + 0 - 1 - q**3. Let f = -94 - -93. List the prime factors of t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 404 = 46*a. Let r = 3746 + a. Is ((-12)\/10)\/(r\/(-1110) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 61. Suppose 2*k = -k + u. What is the smallest common multiple of 8 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2317)\/662*(-104)\/70*15\/(-2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:00 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrsv when four letters picked without replacement from fvrvfvsrsv.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000147754276 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 11. Let v be z(0). Let r(d) = d**2 - 14*d - 5. Let t be r(14). Let n = v + t. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904145 is divided by 659?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 170*g - 24. Let h be w(10). Suppose 0 = -2*d - 2*d + h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3 + 4*j**3 - 1\/2*j**5 - 7\/2*j + 0*j**4 + 3*j**2 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005029 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20202 + 1202111001022?\nAnswer: 1202111022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 - (-138 - -48) - 74\/(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grhg when four letters picked without replacement from {g: 3, s: 1, h: 5, r: 1, x: 4}.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5232 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(36)\/(sqrt(24)\/sqrt(2)).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61331324 divided by -178\nAnswer: -344558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-42)*(0 - 6). Let d = -77615.5 + 77616. What is the second smallest value in 0.2, k, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-14)*n)*n**(-3)*(((n*n\/(((n**(-1\/9)*n)\/n)\/n*n))\/n*n)\/n)**(-2\/27) assuming n is positive.\nAnswer: n**(2410\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58080, -58084, -58100, -58134, -58192?\nAnswer: -58280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 + -651?\nAnswer: -650.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*l + 12, l + 0*l = 2. Suppose t*c + 20 = -3*c. Let n = -75.2 + 79.2. What is the smallest value in 3, -0.3, c, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x - 4. Let r be n(0). Let t(y) = -2*y - 9. Suppose 4*m = 4*o - 44, -2*m - 15 = -m - 2*o. Let g(b) = b + 8 - 6 + 3. Determine m*g(l) + r*t(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/3 - 2*d**2 - 3*d. What is the units digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 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: Three letters picked without replacement from vuvuuvvvuvvvvvvuvuu. Give prob of picking 3 u.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -31*c**7\/210 - c**6\/12 + c**5\/15 + c**4\/12 - 67*c**3\/6 + 2*c**2 + 1283*c - 2. What is the third derivative of w(j) wrt j?\nAnswer: -744*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2346 - 23437\/10. Calculate the common denominator of w and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -2, -134, -4, -3 in decreasing order.\nAnswer: -0.11, -2, -3, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 40*r - 1 + 0 - 41*r. Let l(b) = 5*b + 2. Let n(f) = f**2 - 5*f + 3. Let g be n(3). What is g*u(d) - l(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.1 (c) 0.82 (d) -0.22 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y + 5*y**4 - 4*y - 3*y - 8*y + 29*y + y**2 as c*y**3 + b*y**4 + a + g*y**2 + p*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/(-43))\/(1\/(-8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -87. Let u = 5 + -1. Let r be (-4)\/s + (8 - u). Put r, 4, -2 in descending order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/24 - d**5\/30 + d**3\/2 + 51*d**2. Let q(f) = 4*f**3 - f**2 + 2. What is 4*q(k) - 3*w(k)?\nAnswer: k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 824*b - 2*b**2 + 0.\nAnswer: -2*b**2 - 824*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 14. What is the remainder when c is divided by (-24)\/14*(-14)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {x: 1, l: 6, v: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 385699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 39. Let x = -9 + u. Let q = -0.2 - -0.5. Which is the second smallest value? (a) 11 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89939 and -0.0779?\nAnswer: 7006.2481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4912 * 509\nAnswer: 250.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1700b (base 13) to base 10.\nAnswer: 43951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 16. Suppose -4*j - 38 + 40 = 2*g, -3*j - 57 = -5*g. Let y be 4\/s - (-11)\/g. Solve z - 3 = o, 5*z + 3*o = -0*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 88 = -36. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/7 (c) -2\/9 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10*(-4)\/(-8))\/(34\/(-255))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 232*l - 3157. Give t(23).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*v**2 - 2 + (5*v + 0*v - v)*(4*v - 5*v + 0*v))*((3*v - 3*v - v**2)*(-v + 1 - 1) + v**3 + 3*v**3 - 6*v**3).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlxxxxllllllllllll. What is prob of picking 2 x?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 - 6 = 0, 3*t + 3 = -3*l. Suppose l*o - 23 = 3*u - 71, -5*u + 4*o = -84. Calculate the smallest common multiple of u and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/20 - x**4\/12 + x. Let t(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by -5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/15 - 6\/5. Solve 0*q + 0 + 1\/3*q**2 - d*q**3 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272370895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*q - 2*q + 2*q)*(0*q + q - 2*q) - 3 - q**2 + 3)*(-2 + 3 - 4).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28575.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1095 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2 (b) 3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -132403 - 1023?\nAnswer: -133431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17973*h = 17975*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q**6 + 5*q**3 - 11*q**2 - 5. Let r(x) = x**3 - 1. Let m(y) = -f(y) + 5*r(y). What is the third derivative of m(u) wrt u?\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122012101122 + -1?\nAnswer: 12122012101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 115. Let p = n + -66. Which is the closest to -0.1? (a) 0 (b) 3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 544 divided by 32\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 7*f - 4*f)*(-f**3 + f**3 + 2*f**4) - 2*f**3 - 2*f**5 + 2*f**3 + (-3*f**3 - f**3 + 5*f**3)*(-f**2 + 2*f - 2*f).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42773530*p**5 - 10665410*p?\nAnswer: -855470600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11324664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161.56 + -161.56026179. Round o to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:00 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.04 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*b + 295*b + 82*b + 324*b + 29*b + 4 as j*b + y and give j.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/4410 and -79\/1134.\nAnswer: 39690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -1, -2, 0.5, -12, 0, -0.069?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -5*t**7\/14 + 5*t**4\/12 - 199*t**3\/6 + 83*t - 2. What is the second derivative of b(r) wrt r?\nAnswer: -300*r**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 13*k - 2. Calculate the least common multiple of 10 and j(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102479 is divided by 336.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 181 = -5*q, -2*a + 5*a = 5*q + 182. Let t be (-382)\/(-4) + -1*5. Let m = t - 127. Is m not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 74568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 7*y**2 - 5*y - 2. Calculate a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-2 - 81*x - 111*x + 167*x).\nAnswer: -50*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 12. Let z = -0.9 - -8.9. Which is the second biggest value? (a) 0 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-1\/2)*x\/x**9*(((x**(2\/25)\/x)\/x*x*x*x)\/x)\/(x\/(x**(-11)*x)*x) assuming x is positive.\nAnswer: x**(-921\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + s. Calculate the remainder when o(6) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(833)*5 + sqrt(833))**2 - (sqrt(68) + (sqrt(68) - -5*(sqrt(68)*4 + sqrt(68) + sqrt(68))))**2.\nAnswer: 297721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 72 + 14*h**2 - 141 + 67 + 2*h - 18*h**2. Give o(-5).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-17)\/(b\/(b*b**(1\/2)))*b**(4\/3)*b*b**18 assuming b is positive.\nAnswer: b**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4)\/sqrt(2)*-6)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2484 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 - 5*v - 4. Let b be f(-5). Let h = -5 - b. Let i be -3*h\/3*2. Solve -i*r + 2 + 6 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3967694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279186 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.999703 rounded to 1 decimal place?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3861*p + 3*y - 36 = -1935*p - 1931*p, 5*y = 2*p + 60 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -78*d - 31. Let g be c(4). Let y = -161 - g. List the prime factors of y.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(684) + (2*sqrt(684))**2 + sqrt(684))*-2.\nAnswer: -10944 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5583, 23047, 52155, 92907, 145303, 209343, 285027?\nAnswer: 372355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(-3)\/12)\/2. Suppose h*l = l - 9. Let x be 9\/((-4)\/((-24)\/l)). Solve 5*t + 4*n = 11, -2*t + x*t = -3*n + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1065)\/(-25))\/(4\/20)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 4*s - 80, 2*h + s = 57. Let l = -22 + h. Suppose 4*a - 10 - l = 0. Calculate the greatest common divisor of 36 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.08, -8, -4.\nAnswer: -8, -4, -2.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = n. Suppose 0*h + h = -n. Sort h, 2, 0 in ascending order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21137 (base 9) to base 10\nAnswer: 13966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 7 - 33. Let z(s) = 2*s**3 - s - 15. What is the remainder when z(3) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212220\/37335)\/(8\/76)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -81*h + 3083. Give i(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2168230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -107. What is the second derivative of -5*u**4 + 7 - 7 - r*u wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 2*p**3 - 12*p**2 - 2*p**3 + 7*p**2 as z + h*p**3 + j*p + o*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 10. Give v(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 7:45 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42451 + -4?\nAnswer: -42455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**4 + z**4 + 0*z**4)*(6 - 1 - 2) + z**4 + 2*z**4 - z**4 + (-7*z + z + 4*z)*(3*z**3 - 3*z**3 + 5*z**3) - z**4 + 3*z**2 - 3*z**2.\nAnswer: -33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.449896 months in decades?\nAnswer: 0.0204158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9069198 by 3.\nAnswer: -3023066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 1\/24*j**6 - 1\/10*j**5 + 0*j + 0*j**4 - 1\/8*j**2 + 1\/6*j**3 - 3. Solve f(k) = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:59 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 295\/91 (b) 1 (c) -4 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -34*p + 99. Solve 0 = 3*g + 2 - p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**5 - 13*x**5 + 15*x**5 + (-2 + 3 + 0 + (1 + 0 - 3)*(4 - 1 - 1) + 0 - 4 + 2 - 3 + 7 - 2)*(5*x**2 + 3*x**5 - 5*x**2).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 + -109. Is d\/(-14)*110608\/24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*o + 10, 9 = 5*o + 2*a - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3)*(-9804)\/(-95). Put 1, 4, x in ascending order.\nAnswer: 1, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5473 = a, 3*f + 14*a = 10*a + 8217. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 + 193*j**2 + 49*j - 22. What is the units digit of b(35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 5*t + 5. Let k be 4*(-4 + (-11)\/(-4)). Let h(v) = -6*v**3 - 7*v + 7. Determine k*h(q) + 7*s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 6 = -5*a. Let t be (-14)\/6 + (-6)\/a. Let j = -5\/9 - -11\/36. Sort -1\/2, t, j.\nAnswer: t, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.91554l to millilitres.\nAnswer: 36915.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -377.8.\nAnswer: 75.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.19 times 0.10143?\nAnswer: -1.0335717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -111. Let k = 121 + m. Let y = -1 - -4. Calculate the remainder when k is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/84 + (-2)\/(-14). Let d be -3 + (q - -3) + 1. Which is smaller: -2\/23 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 4056?\nAnswer: 223080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or 379482?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4932 and 0.65.\nAnswer: 4932.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:50 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 3*q)*(7 - 3 - 2).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 21*l + 5. Let o be j(-21). Solve 2 - 17 = -o*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1159093\/30 - 38640. What is the common denominator of -33\/125 and z?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/1*(20 - 34). What is the highest common divisor of 40 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 646 = -8*a - 4*c, -11*c + 4*c = 4*a - 2*c - 95 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 481*g*m**3 - 149*g*m**2 + 9715*g*m + 53*m**3 - 1384*m - 1 wrt m.\nAnswer: 2886*g*m - 298*g + 318*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5474 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 11*l**2 + 9*l + 23. Let m be (-5 - (-319)\/77)\/((-1)\/14). Determine g(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -270*p**2. Let t(m) = 18*m**2. Give t(d(r)).\nAnswer: 1312200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(48))\/sqrt(4))\/(sqrt(6) - -2*sqrt(294)).\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149655 and 1815?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {c: 1, y: 2, m: 4, k: 2, l: 4, n: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 115*x**3\/2 + 5*x**2\/2 + 2*x - 12. Let y be w(10). Suppose 2*r = -u + 1789, -u - y = -4*r + 126. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 16*g = 39816. What is the common denominator of 43\/42 and 2\/128*g\/63?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 195879963247.\nAnswer: 195879963246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 9*x**2 - 7*x + 2. Let t(p) = -p - 1. Let n be t(-4). Suppose -n*m - 11 = 5*k + 17, 4*m = -4*k - 16. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2784585*y**5 - y**4 - 199*y - 774614.\nAnswer: 55691700*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 9*v**2 + 13*v + 4. Let p be j(-6). Suppose 3*w = -q + p, 0 = 4*q + 4*w - 25 - 111. Calculate the greatest common divisor of q and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 6*t + 6. Suppose 15*h + 45 = 4*c + 10*h, -2*c = 2*h. Let g(l) = 2*l**2 + 5*l + 5. Calculate c*s(u) - 6*g(u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/(-8))\/11)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.131 - -20.131. Let m = -5 + 5.1. Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 5 - (-3 + 1 + 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-223 - -206) + 1 + 24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 574310 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 375365369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2125922, -4251863, -6377804, -8503745?\nAnswer: -10629686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19697669 + -19697669.8999997. Let k = 0.9 + i. What is k rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*p - 14, -4*p - 616*a + 614*a + 44 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 308 (b) 7 (c) 245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - a = -29, -a + 2 = 4. Solve 2*t - c = -10, -5*t + c - m = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + -8 - -22) + 7 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9 = -3*w, 2*v - 4*v + 185 = -5*w + 165 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 0)*(-11)\/(8 + 25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10537, 38, -370, -3.\nAnswer: -10537, -370, -3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1572876 is divided by 786417.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2338 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 13 = q, t - 24 = -2*q + 3*t. Let w(y) = -3*y - 6. Let a(o) = -2*o - 7. Let u(n) = -4*a(n) + 3*w(n). Give u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m + 36 = -24*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 150*f + 8. Let x be c(0). Solve -x*u - v = -5*u - 11, -5*u + 21 = 3*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/5 + (-15)\/(-25). List the prime factors of (-52)\/(-12)*6\/k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14419385 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 24527483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(3))\/sqrt(2))\/(sqrt(9) + (sqrt(1089) + sqrt(1089)*2 - sqrt(1089))).\nAnswer: sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -97018, -96907, -96796, -96685, -96574?\n\"Answer: 111*i - 97129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. Is 1\/m*2 - -52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 2 + 2*w + 19*w**3 - 1 - 3*w**3. Let h be n(-1). What is the units digit of (-10)\/3*18\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19080.21 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9463859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 3*s. Suppose f - 5 = 0, -3*p + 8*p + f - 180 = 0. Suppose -36*w = -29*w - p. Determine o(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -24, 21, 1\/8, 1\/4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221546 is divided by 1429.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290448329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8 = 0, 76 = l - t + 26. Suppose 2*d = -2*d - l. Is (-4)\/(-6)*(-6030)\/d 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 632?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1\/205, -1\/8, 0.1 in ascending order.\nAnswer: -1\/8, 1\/205, 0.1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 93*l**2 + 54 - 32 + 7*l - 89*l**2 - 18 + l**3. What is z(-6)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/4*u**4 - 7*u + 1\/4*u**5 + 0*u**3 + 0 + 0*u**2. Find the third derivative of i(g) wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9919748 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 b when four letters picked without replacement from bbbylblbbbly.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 15*r**2 - 55*r + 63. Determine g(7).\nAnswer: -959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254064567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 183\/9 - 4\/12. Let k be 6\/9 + h\/(-3). Calculate the remainder when 21 is divided by (-4 + 9)*k\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1\/2, -1142, -0.3, -6 in descending order.\nAnswer: 14, 1\/2, -0.3, -6, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*o + 263 - 713. Solve o*b - 16 = -11*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a9 - -5515?\nAnswer: 5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yahyahyhhdhhyh. Give prob of picking 1 h, 2 a, and 1 d.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 532 + -532. What is the biggest value in j, -50, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284 and 182470?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a day in hours?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1818*-31\nAnswer: 56358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 15, a: 4}. Give prob of sequence zaza.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-31)*j\/(j*j*j**27*j) assuming j is positive.\nAnswer: j**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1331) - (sqrt(1331)*-1)**2) + (sqrt(1331)*-1 + -2)**2 + 0.\nAnswer: 6659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, s: 4}. Give prob of picking 4 j.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Suppose 0 = 89*w - 61*w + 196. Give r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 6*p - 2. Let d = 9 + -14. Let a be z(d). Suppose -j + 4 = 0, -w - 6 = a*j - 36. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -118)*1*-1. Suppose 0 = -3*x - g + 77, -2*x = 2*x - 2*g - v. Suppose -m - x = -2*t - 6*m, -4*t = -2*m - 42. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(1 + sqrt(171) + 4 + -1 + sqrt(19)))**2.\nAnswer: 1152*sqrt(19) + 11525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 4 = 15*d - g, 18*d + 10*g = -19*d + 38*d - 878 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -376, -373, -370?\n\"Answer: 3*k - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 217*o - 63. Let f be k(-3). Let c = -5707\/8 - f. What is the third biggest value in -0.2, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-1\/5)\/(y**(-2\/5))**(-4\/31))\/((y**(2\/9)\/(y*y**(7\/2)*y))\/((y\/(y**5*y)*y)\/y**0)) assuming y is positive.\nAnswer: y**(3979\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17472.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.468 - 18.46299945. Let j = 91.05 - 91.045. Let u = j - l. Round u to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/5 + (-24)\/40. Suppose 0 = -n*l + 2*m - m + 263, -5*l + 410 = 4*m. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + 1 + sqrt(17)) + (sqrt(85)*6)\/sqrt(5) - ((sqrt(1377) - sqrt(1377)*4)*1*-4)**2.\nAnswer: -198290 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35209*d**3 + 19441*d**3 + 815*d**3.\nAnswer: -14953*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 6 = 0. Suppose 5*z = -y*i + 251, -3*z - 475 = -i - 4*i. What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a - 4. Let q be x(3). Let w(y) = -y**3 - 29*y**2 + y + 51. Let g be w(-29). Is g <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 4087.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -333104682, -333104679, -333104674, -333104667, -333104658, -333104647, -333104634?\nAnswer: -333104619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a50a1b + -1?\nAnswer: 9a50a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 - 2*h**2 - 2*h**2)*((-2*h - h + 2*h)*(377*h - 60*h + 2 + 479*h) + (0 + h + 0)*(h + 0*h + 1 - 2)).\nAnswer: 6360*h**4 + 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -124*14\/(-1260) + (-2)\/(-9)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(10)\/sqrt(8)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofqoqofoqqoqf. Give prob of sequence ooqo.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17 - 568*p + 40 + 292*p + 274*p. What is b(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0*u - 8 = -2*u, -v - u + 4 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 114\/10 + (-218)\/545. Suppose 4*k - 2*s - 16 = 0, 5*s + 17 - 1 = 2*k. Solve 32 = -z*r + k*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1426 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -8) + 1 - -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 + 4*u - 4. Let r be t(3). Let c(j) = -4*j - 5. Let w be c(-4). Let a = w - 11. Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - 246\/9)*54\/36. Which is the closest to -0.03? (a) 0.5 (b) f (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.40044 + -0.4. Round r to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**3*t**3 + 2*j**3 - 56*j**2*t - 7*j*t**4 wrt t.\nAnswer: 24*j**3*t - 84*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2320 = 12*m - 11236. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-15) + 0 + 4)*5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/25)*b*(b*b*b**(-28)*b*b)\/b)**46 assuming b is positive.\nAnswer: b**(-27738\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500 divided by 2250?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -5. Suppose -p + 5*c - 3 = b, -5*p = 3*c - 36. Solve 0 = 3*a + 6 + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/853783, -24, -1 in increasing order.\nAnswer: -24, -1, 1\/853783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.3654627*-8\nAnswer: -18.9237016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 - 158. Solve 2*w = g*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*o + 4 - 4.\nAnswer: -859*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -53.45.\nAnswer: -58.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.5*-28.993.\nAnswer: 130.4685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4342?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -84, -112, -130?\n\"Answer: 5*x**2 - 53*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4576\/(-2 + -2)*8\/4. Let m = 7549 + w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 69769080*f - 304232782752900.\nAnswer: -4*(f + 8721135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**3 + 62*j**2 + 3*j - 1. Let b(u) = 4*u**3 - 33*u**2 - u. What is -5*b(a) - 2*w(a)?\nAnswer: -2*a**3 + 41*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30792040 and 6312?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 less than -2.33?\nAnswer: -27.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -4, 3.95, -0.03, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/49 and -67\/7104202?\nAnswer: 49729414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 10, -3, 200, -1, -384.\nAnswer: -384, -3, -2, -1, 5, 10, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:12 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -730, -4\/5, -0.3?\nAnswer: -730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*u = -20, -k = 5*u - 3*u - 10. Let p(m) = -k*m + 6*m - m. Let y(w) = 2*w**2 - 2*w + w + w. What is p(y(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248559, 248607, 248691, 248805, 248943, 249099, 249267, 249441?\nAnswer: 249615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:17 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 210*f**2 + 10 - 121*f**2 + f**3 - 102*f**2. Suppose 118 = -41*o + 43*o. Calculate the remainder when o is divided by l(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 82*c - 11. Let k be q(-20). Suppose 22*w + 28063 = k*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-15)*2*-10. Let g be o*1 - (4 - 2). Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.61 or -268803?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3001157 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from qqqqqiqqqiq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 29*o. Let p(d) = 26785*d. Give n(p(w)).\nAnswer: 776765*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -852240 - 3?\nAnswer: -852243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1049501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n**5\/4 - 5689*n**4\/4 + 9055*n**3\/4 + 43949*n**2\/4 + 9478*n + 2180 = 0.\nAnswer: -1, -5\/13, 4, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39aa1 - -62a5?\nAnswer: 44186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -70\/3887 (b) -3\/5 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 78. Suppose 0 = -2*f + 4*x + n, 226 = 2*f + 3*f + 2*x. What is the lowest common multiple of 4 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.43 + -1.47. Let m = 2.1 + d. What is the closest to -1 in 1\/2, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*28\/(-21)*4731\/(-332)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from {o: 1, z: 3, p: 4, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131306 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {y: 2, h: 2, o: 4, r: 2, j: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.2. Let a = 45 - 137\/3. Let y = -2 - -2.2. Sort y, a, d in decreasing order.\nAnswer: y, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 + x**3 - 43*x - 8*x**2 + 39*x)*(-4*x - 4*x + 3*x).\nAnswer: -5*x**4 - 5*x**3 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32085, -32061, -32037, -32013?\n\"Answer: 24*w - 32109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4757 (c) -0.5 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 83. Let d be u(-13). Let n = 97 - d. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 77 + 40 = 0. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14313 (base 7) in base 6?\nAnswer: -30110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/22*12*(-26)\/1248.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*((-18)\/(-30))\/(-1). Let f(w) = 4*w - 24. Let i be f(7). Let s = -0.04 - -3.04. Which is the closest to -0.1? (a) i (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 11 - -4 - -11 - -14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/5583 + 134140\/206571. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 25 = 3*p + 2*p, 2*p - 9 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 + 37. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/(-765) + (-8320)\/(-288) + -29)*(-5 - 10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)\/u)**(-2\/113))**(3\/29) assuming u is positive.\nAnswer: u**(2\/3277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.01 + 0.01. Which is the second smallest value? (a) 5 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.64 + -0.04. Which is the closest to 1? (a) 0.5 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/6272*-16*(-90)\/9\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 27 + 0 - (0 + -2). Let d = -13 + w. Suppose -3*p = p - d. Let z(c) = -c**2 + 6*c - 4. Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14663\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 4*s + 2. Let w(f) = 2 - 4 + 2*f + f**2 + 3*f. Let m be w(-6). Let n be (-4)\/3 + m\/(-6). Calculate h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -3*y + 4*b, 2*y - 28 = -5*b. Let h = y + 0. Suppose 16 = 4*v - h*s, s = -3*v + 9 + 7. Solve -2*w = -3*w - v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32.4 and 29.\nAnswer: 61.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 624222073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 2*v + 75, 14*v - 16*c + 11*c + 75 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150.8 + -149.8. Which is the second biggest value? (a) r (b) -0.021 (c) 2\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10\/13, 0.0092453 in decreasing order.\nAnswer: 0.0092453, 0, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*h - 10801, 57*v + 3*h - 5405 = 55*v. Is 37 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 10 = 0. What is the units digit of 7 + (-2)\/j - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7292 is divided by 2428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c621a8 + 1?\nAnswer: -c621a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5807 (b) -16 (c) -5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -2811122?\nAnswer: 2811123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -43. Let z = -7.6 + f. Suppose 2*t = -2*o + 10, -5*t = -o - 0*o - 25. Which is the closest to 0.1? (a) o (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2\/2 + 18. Let p(g) = -4*g. What is n(p(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*x - 32*x**2 + 20*x)*(-22 - 33 + 18) in the form k + r*x + a*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285034.\nAnswer: 2, 642517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 532408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 97335502.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.06742 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1189*q + 8274*q - 403845 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 4. Let d be r(3). Let x = 4 - d. Suppose -4*t + 5*h = -28, -t - 8 = -3*t + h. Solve t + x = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 165753*c**2. Let w(q) = -1530*q**2. Calculate u(w(o)).\nAnswer: 388011197700*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4168469099 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 3*g**2 - 11 + 5*g + 3*g**3 + 4 + 10 to u*g**3 + k + q*g + r*g**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 662 + -659. Suppose 5*m + 20 = -2*p, q*m = -2*p + 6*p - 12. Put -5, -2, p, 92 in descending order.\nAnswer: 92, p, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 0*d + i, -3*d = 2*i - 8. Suppose -4*p + t + 2 = 0, -2*t - 4 + d = 0. Let u = 7 + p. Solve 5 = 5*h + r, 3*h - 25 = u*h - 5*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 1691 - 604 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 6, d: 2, q: 10}. Give prob of picking 1 d and 2 q.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9238\/(-1192) - ((-38)\/(-24) - 1\/3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4. Let w be (-13)\/(-5) + 4\/10. Let g(d) = -d - 13. Let z(n) = w*g(n) - 8*t(n). Calculate the lowest common multiple of 4 and z(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 22. Let b be l(16). Solve 11*k - b*k = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -192*q - 107 + 19 - 22*q**2 + q**3 - 223*q + 396*q. Let t be y(23). Solve 0 = 2*x - 4*f - 16, -t*x + x + 15 = -3*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -696, -2312, -5230, -9828, -16484, -25576?\nAnswer: -37482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 16*b - 12. Let r = -292 + 301. Calculate the remainder when 51 is divided by m(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**3 - 5*p**2 - 28*p - 27681. Let o(c) = -5*c**3 + 2*c**2 + 10*c + 9227. Let y(i) = -4*j(i) - 11*o(i). Is y(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410699 = -3*v - 2*j, -3*j - 136893 = -v - 5*j. Suppose 0 = 32*z - 19*z - v. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*d - 3*d = -16, 5*f - 8 = -3*d. Differentiate 0*s + 4*s**f + 0*s + 4 - 6*s**4 with respect to s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 6 + 1 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 3*r**2 - 4*r - r**3 + 5 + 4*r**2 - 5*r. Let q be o(8). Let i = q + 15. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:13 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 99 = -196*n + 201*n, -f = n - 9. What is the lowest common multiple of 3240 and n?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.11535 - 24.732. Let w = 2.3723539 - y. Let n = 0.011 + w. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29686889, 118747541, 267181961, 474990149, 742172105?\n\"Answer: 29686884*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 9 = -3*a. Let g = a - 6. Let o = 1 - g. Solve 0*l + 4*c + o = -4*l, -12 = -4*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:11 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*w - 743, -3*h - 1067 = -6*w + w. Calculate the common denominator of (5\/28)\/((-24)\/h) and 11\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -24. Let s = -7 + 11. Suppose c*h - 4*h - 20 = 0, -5*h - 9 = s*q. Put -3, q, -4 in descending order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g - 3. Let s be q(2). Solve -s = -5*i + m, -2 + 4 = i - 2*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -8\/7, 18\/23, -3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20536 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 6*j - 1 = -811*p + 812*p - 4, 5*j - 54 = -7*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 3\/2, 1\/6, 1, 5, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13494400483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*d**3 - 87*d**3 + 1 - 1.\nAnswer: 15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 95443.434ns in days?\nAnswer: 0.000000001104669375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 8. Let s = -11 - -2. Let u be i(s). Calculate the greatest common factor of 11 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1) + (6 - 1). Suppose 4*t - 2*a = -p*a + 201, 4*t = a + 207. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**1\/r))\/r)**(-31)\/(r**(2\/11)\/(r**(1\/2)\/r)))\/(((r\/(r*r**(-9)*r))\/r)\/r*r\/r**(-10))**(-41) assuming r is positive.\nAnswer: r**(15319\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -76. Suppose m*g = 609 - 213. Suppose 3*f - 171 - 27 = 0. Calculate the highest common factor of g and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 12. Let o = 7.3 - 29.3. Let v = -26 - o. Sort -0.1, v, -1\/4, a in descending order.\nAnswer: a, -0.1, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*s**3 - 62*s**2 + 3*s + 101180 wrt s.\nAnswer: 33*s**2 - 124*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**2 - 11*i + 11. Let n(x) = x**2 - 2*x + 2. Let a(d) = -2*k(d) + 11*n(d). Let b(c) = 8*c. Determine a(b(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g - 2. Let q(m) = -m**2 + 11*m + 5. Let x(v) = 4*v - 28. Let t be x(8). Let o be (2\/(-6))\/(6\/144*t). What is o*q(a) - 5*b(a)?\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 3*h - 108, -3*h + 12 = 0. Let m = l + 47. Let q be (7 + -1)\/(m - -3). Solve 2*g + 14 = -5*s, -q*g - 2 - 2 = -s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26*-33\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 17, -2, -6, -27 in decreasing order.\nAnswer: 17, -2, -3, -5, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -124.8 and -1889588795.\nAnswer: -1889588919.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-2)*(2\/(-2) + 2). Calculate the remainder when h + -4 + (104 - -1) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 18*d**2 - 7 + 2*d**3 - 4*d**2 + 4*d + 4*d + 2*d**2. Is m(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -15975.676\nAnswer: -3195.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197 + -1777\/9. Let n = 9 - 14. Let j be (1\/4)\/(1 - 0). Which is the third smallest value? (a) j (b) -3 (c) n (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 627*t**2 - 4433*t + 50. Calculate r(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:38 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -34, -1, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 11*v - 23. Suppose 21*s = 8*s - 13 + 234. Calculate h(s).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 9*d - 5. Let f be z(6). Suppose 2*l - 1 = f. Calculate the remainder when 40 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-90 + 11 - -76)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -31, -99, -235, -463, -807?\n\"Answer: -4*v**3 + 2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 22 = 0. Put a, 1, 0 in increasing order.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.7753 (b) 2\/25 (c) 78 (d) -0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:05 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -532 + 528.69. Let t = z + 3.31. Suppose -b + 2*l + 2*l = -3, -2*l = -b + 3. What is the second biggest value in b, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2499*j + 19649. Calculate g(-7).\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 1605.\nAnswer: -4, 5, 1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6888 + 2.2888. Suppose -4*r = -2*r + 14. Let o be 6\/(-21) + (-9)\/r. Sort o, h, 5.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28362 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5 - 168*n**4 - 328*n**3 + 4*n**2 + 330*n + 164 = 0. What is n?\nAnswer: -82, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21406968 by 9966.\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/2*5\/15. Let w(h) = 10*h + 2*h - 20*h**2 - 5*h - h**3 + 19*h**g. Let s(z) = -z**3 - z**2 + 4*z. Let l be ((-10)\/4)\/(4\/8). What is l*s(j) + 3*w(j)?\nAnswer: 2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(539)*2 - sqrt(539) - (sqrt(539)*2 + sqrt(539) + sqrt(539) + 1))**2 + (-1 + -4 + sqrt(539)*1 + sqrt(539))**2.\nAnswer: -42*sqrt(11) + 28593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1) + -1 + -1. Suppose 0 = -f*d - 0*d + 56. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109.4 + -749.4. Let o = 638 + k. What is the fourth smallest value in -0.6, o, 5, 2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 1)*(-u**2 - 4 + 4) + 28*u**2 + 21*u**2 - 41*u**2)*(-3 + 1 + 0)*(52 + 23 + 9) in the form b*u**2 + i + z*u and give b.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 45. Calculate the highest common factor of 513 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/688 and 64\/15?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + 210 = 29*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -2\/31, 0.729, 0.3 in decreasing order.\nAnswer: 1, 0.729, 0.3, -2\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 5*t**2 - 7*t + 7. Let v(g) = -9*g**3 - 2*g + 6 - 19*g**2 + 11*g**3 + 0 - 4*g + 23*g**2. Calculate -4*q(p) + 5*v(p).\nAnswer: 2*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-39)*6\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -24321, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*k - 123 + 16, 46 = 2*k - 2*s. Let w be 20\/8*16\/10. Suppose -3*o + w*o = k. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c. Let r(v) = -128236*v. What is g(r(z))?\nAnswer: 897652*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -551 + 544 - (13 + -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -t + 3, 10 = -4*z + 2*t + 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 14 = -7*t. Solve -5*g + 4 = o - 0, 3*o = -4*g + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7724 to 1 decimal place.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, b: 9}. Give prob of picking 1 b and 3 d.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -505 + 501.93. Let w = 3.06999404 + g. What is w rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48928 and 5560.\nAnswer: 244640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4 = 0, 2*i - 110*c + 4 = -108*c + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/33*(-10)\/(-380)*19*-6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 12 + 36. Suppose 20*c + 16*c - 19*c = 221. Solve -o*h = -c*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -172. Put 14, 4, a in ascending order.\nAnswer: a, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182.038 - -181.7. Round b to two decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361597*t - 24 = m - 361602*t, t = -3*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 37*i + 173. Let y be b(-28). Suppose -y*u = -431*u + 3072. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.93 - 0.07. Let i = 7.4 + u. Let l = -1.2 - -0.2. What is the nearest to l in 0.2, 2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x**5 - 49084*x**4 - 23161984*x**3 + 3564544*x**2 = 0. Calculate x.\nAnswer: -944, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 22 = 2*r, 7251*r - 5*y + 8 = 7255*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z**(-1\/5)\/z)\/z)))\/(z**(3\/13)*z)*(z**(-6))**(4\/19) assuming z is positive.\nAnswer: z**(-4562\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -22280945000 to the nearest one million.\nAnswer: -22281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*t - 9, t = h - 4*t + 15. Solve h*g - 2*g - 3*l - 9 = 0, -17 = -5*g + 4*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n - 58*n + 33*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -5*v**9\/126 + v**5\/15 + 17*v**2\/2 - 22. Let y(n) be the second derivative of c(n). Find the third derivative of y(j) wrt j.\nAnswer: -2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 5\/2, -1\/2, -81, -6\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 140*a**2 + 5 + 0 - 25 + 3.\nAnswer: -140*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -237 + -25?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 641172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 3*q**2 + 2*q**2)*(-1780*q**2 + 195*q**2 - 38*q**2).\nAnswer: -4869*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-4 + 3\/3). Let f be 1 + (t\/(-16) - (-5)\/4). What is the smallest common multiple of 22 and (4\/3)\/(f\/9)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1585, 1601, 1623, 1651, 1685, 1725, 1771?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01596897 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 18 - -7) + (-3 + 8 - 152)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - ((6 - 5) + -213650) - (5 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 2*w - 631 = 0, 19*n + 4*w + 23 + 38 = 20*n for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*d + 12, 0 = 2*s + 3*d - 5 - 8. Let q = 2530 - 2529.2. Which is the nearest to 1? (a) s (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2789 + -2672.1. Let o = y - 117. Which is the biggest value? (a) -2\/11 (b) 0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 15) in base 4?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 25?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/25 + 172\/175. What is the nearest to o in 1\/8, 2, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4052, -4044, -4048, -4070, -4116, -4192, -4304, -4458?\n\"Answer: -k**3 + 15*k - 4066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + j**2 - 2*j - 1. Let i be (1\/3 + 1)*3\/(-2). Calculate l(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -23545.\nAnswer: -23543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 67. Determine k(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -841 - -868. Suppose 0 = -l*x + 19*x + 8112. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41314925 to the power of 1\/2, to the nearest integer?\nAnswer: 6428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i - 4*u + 392, 2*u = -3*i + 290. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/11 (b) 1 (c) 1265\/12 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 1\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5081 - 86418\/17. Find the common denominator of o and -36\/11.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-552)\/54)\/23)\/(2\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/78*348\/(-290)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 67165.462?\nAnswer: 67169.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 42. Let q(g) = -23165*g. Let d(y) = 242*y. Let f(x) = -574*d(x) - 6*q(x). Calculate b(f(n)).\nAnswer: 82*n - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22311002 - -2121311?\nAnswer: 31032313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1892196*b**4 - 7150222*b**2 wrt b?\nAnswer: 45412704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26312.81342 plus -23?\nAnswer: -26335.81342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -53, -61, -73, -89, -109?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19139412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (378\/180)\/(6\/5). Which is bigger: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63519374409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 13, 18, 23?\n\"Answer: 5*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2695 or -2696?\nAnswer: -2696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*h**4*w**3 + 86637*h**4*w + 9*w**3 + 2*w**2 - 49707*w wrt h.\nAnswer: -456*h**3*w**3 + 346548*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2800739 is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 15 - (-30)\/24\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19629*m**2 + 1 + 74590*m**2 - 2 + 27363*m**2 + m.\nAnswer: 82324*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104*b**4 + 4206*b**3 - 42194115*b**2?\nAnswer: -2496*b + 25236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -q + 4*b + 543, 511 = q + 5*b. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-4\/9))**(-1)*(m*m**(1\/3)*m)**41 assuming m is positive.\nAnswer: m**(848\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, d: 6, e: 1, f: 3}. What is prob of sequence gfg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 5*k + 46 = 0, -k + 5 + 1 = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 6*h**3 - h**2 + 3*h**3 - h - h in the form l*h**2 + g*h**3 + v*h + w*h**4 + c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (239872\/(-768) - -309)\/(-1 + 194\/204)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i + 47. Let j be g(11). Suppose 5*z = f - 7, 2*f + z + 30 = 88. Calculate the highest common factor of j and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34694 in 0.5, -2\/39, 2?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 6*b + 48, 507*q - 501*q = 3*b - 60 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 287*p*y**2 - p*y + p - 3*y**2 - 1131*y + 1 wrt p?\nAnswer: 287*y**2 - y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 22000. Let i be s(0). Round i to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19551 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355169112*x**4 + 222117689*x wrt x?\nAnswer: -4262029344*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 2. Suppose -4*k + 5*j = -7*k + 32, -3*k = 3*j - 24. Give o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1802, 3591, 5380?\n\"Answer: 1789*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -19, -19, -7, 23, 77, 161, 281?\n\"Answer: x**3 - 3*x**2 - 4*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603, -605, -609, -615, -623, -633?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 b when three letters picked without replacement from nnsndndbxnnhdddnxbxx?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*u**2 + 1 - 1 + (-5*u + 2*u + 7*u)*(-7*u + 4*u + 4*u) in the form p + h*u + f*u**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -122, -2, 18, 4, -5 in decreasing order.\nAnswer: 18, 4, -2, -5, -23, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n + 4*i, 3*n + 27 = 5*i + 7. Factor n - 2\/9*k**2 + 0*k.\nAnswer: -2*k**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 > -899\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5306*w + 5154*w = 3192 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 235, 972, 2209, 3952, 6207?\n\"Answer: t**3 + 244*t**2 - 2*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -8. Suppose -2*f + u = 1. Suppose f*s - 9*s = 21. Solve -3*w + 5*g + s = 0, 2*g + 1 = -5*w + 4*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329330, -329260, -329136, -328958, -328726, -328440?\nAnswer: -328100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 363*w - 493*w - 520 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 1. Calculate the remainder when 2\/10 - ((-1374)\/30 - -3) is divided by n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 2*x + 9, 38*t + 12 = 34*t - 5*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b - 16. Let q be v(-18). Solve 0 = 25*j - q*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 658 = 7*r + 2*n, -2*r + 5*n = -269. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339390 is divided by 624.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -0. Suppose -2*y - 17 = -k*j, -3*j = -y + 5 - 24. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -47719490\nAnswer: 23859745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 14*h**2 + 2*h - 26. Let w be a(14). Suppose 5*t + 34 = 2*q, -5*q - 24 = 5*t - w*q. Let p be (-3)\/t + 27\/6. Solve p*n - 1 = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 0*x - 3*x**2 + 10 - x. Let k be 9\/((-36)\/16) - -4. Calculate the lowest common multiple of 10 and a(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 2\/3, 1.2, 2\/5, 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 438*m**4 + 1239 + 1854 - 936 - 105*m**4 + 6837*m**4 wrt m?\nAnswer: 28680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -259, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35600331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -66*b**2 + 5. Let r(x) = 429*x**2 - 33. What is -33*i(y) - 5*r(y)?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*c = -209*c - 245*c + 4*c + 2610 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + 8. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472 and 1055864?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 - 96. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-9)*(5 - 7657\/1520)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 11605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 divided by 6?\nAnswer: 335\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, s: 1, j: 1, o: 1, v: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 24\/4 - 8. Let k = x + 10. Suppose t = k*t - 8. Is -4 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12903, 12934, 12967, 12996, 13015, 13018, 12999, 12952?\n\"Answer: -s**3 + 7*s**2 + 17*s + 12880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 292, 2, 1\/3, -12, -0.1, 19\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 + (-4)\/28\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48458 or 48409?\nAnswer: 48409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82825248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -17*a**8\/112 - 47*a**5\/12 - 10*a**2 + 10*a. What is the third derivative of k(h) wrt h?\nAnswer: -3060*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 + 2\/(-1). Let a = d - -2. Suppose -4*v = h - 4*h - 26, -2*v + 14 = -2*h. Put 0.3, v, a in increasing order.\nAnswer: a, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -16. Let i(q) = q**2 + 2*q. Let h be i(y). Solve h*a + 2*a + 14 = -4*z, -4*z - 16 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 - 92. Which is the fourth smallest value? (a) -0.5 (b) 6 (c) -1 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.503 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.0679007 seconds?\nAnswer: 0.017798345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a factor of 77902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2574 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702540.\nAnswer: 2, 3, 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(4\/3))\/p**(-18\/11) assuming p is positive.\nAnswer: p**(131\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 - h**2 - 2*h - 1. Let d be j(-1). Suppose 3*s - 43 = -d. What is the remainder when 47 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000051 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1495890 by -30.\nAnswer: 49863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 o when four letters picked without replacement from {t: 2, o: 7, n: 1, v: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36420 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2*1516\/(-8). Suppose 2*g - 481 - t = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229138139.\nAnswer: 229138139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1005061 and 10481?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1267 and (-16)\/1 - (-242223)\/263?\nAnswer: 6335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 + -134. What is the derivative of 11*h + 30*h**3 - 20*h**3 + 46 - o*h wrt h?\nAnswer: 30*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 24*c + 51. What is n(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-48) - (-3077944)\/96. Suppose 8*d + y = 31*d. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 631, 636, 653, 688, 747, 836, 961, 1128?\n\"Answer: k**3 - 2*k + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 820546162 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7963 is divided by 502.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1159260 divided by 8340\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(0*u**2 + u**2 - 2*u**2) + (-3*u + 3*u - u)*(-3*u - u + 6*u) + 3*u**2 - 2*u**2 + 0*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 - o**2 + 16*o + 18. Let k be i(-1). Let y(z) = 7*z - 59. Give y(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5\/3 - 1384*p**4\/3 - 122432*p**3\/3 - 466472*p**2\/3 + 40812*p + 155952 = 0.\nAnswer: -171, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91434.\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/4 + 11*u**3\/6 + 3*u**2. Let s(y) = 3*y + 5. Let l be (4 - 5)*-1 + 225. Let j = 223 - l. Determine j*m(f) + 7*s(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (756 + 939 - 2775)*(0*w - 3*w + 0*w) to m + n*w and give n.\nAnswer: 3240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 12:40 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - -4 - (0 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - 42 - (261 - 262)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9*v**2 + 16*v**2 - 6*v**2 - v - 1. Let n(d) = -5*d**2 + 8*d + 9. Let t(o) = 6*f(o) + n(o). Is t(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 31657*b - 411706. Calculate v(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21503.\nAnswer: 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/23))**(-38) assuming l is positive.\nAnswer: l**(114\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 - (-4)\/6*(-12)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 16 = -4*s. Let k be s\/((-20)\/6 + 3). Suppose -4*z + 41 = 3*l, -5*z + l = -k*l - 90. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2828310000 to the nearest 1000000.\nAnswer: 2828000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from vfnhfmy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -63 - -47) + 100.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13185 is divided by 250.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3443 or -3436?\nAnswer: -3436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/147, 9.3, 1.1, -2\/9, 3 in descending order.\nAnswer: 9.3, 3, 1.1, 4\/147, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 257\/5. Let y = 0.04 + 0.16. Let i = -1.13 + 0.13. Which is the smallest value? (a) y (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2\/(-4))*-4. Let c be 1 - (f + -1)*2. What is c rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/261 or 5068?\nAnswer: -1\/261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**4 - f**4 + 5*f**4 - 2*f**4 - f**4 + (-2271*f**3 + 2574*f**3 - 1575*f**3)*(-2*f + f - f).\nAnswer: 2545*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80378082.20000057 - 80378086.4. Let x = -0.15 + -4.05. Let f = x - z. Round f to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/226612 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, t: 3, y: 3, k: 1}. Give prob of picking 1 a, 1 k, and 1 y.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -406*h**3 - 5*h**2 - 39*h + 7. Is y(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(12\/11)\/(((i*i**(-3\/11))\/i)\/(((i\/i**15)\/i)\/i)) assuming i is positive.\nAnswer: i**(-149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 z when four letters picked without replacement from zziiizizzi?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = -888. Let k = -1190 - -1063. Let b = k - a. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (8 - 5) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-7) - (-260)\/(-455)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(4\/3)*r*r*r**(1\/2)*(r*(r**(-3\/5)*r)\/r*r)**(-6\/23) assuming r is positive.\nAnswer: r**(1243\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 8*r + 8. Determine w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-10*2\/(-40)). Solve 0 = -l*m + 26 - 16 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 + -213. Find the third derivative of -8*k**3 - d*k**5 + 9*k**5 - 2*k**2 + 4*k**2 - k**5 + 8*k wrt k.\nAnswer: -120*k**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 543337?\nAnswer: 543340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -7*y**3\/6 - 67*y**2\/2 + 2*y - 62. Let f be c(-11). Calculate the highest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4227.909mg to nanograms.\nAnswer: 4227909000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/6 - v. Let c(q) = -q + 8. Let z(h) = 5*h - 22. Let p(r) = -11*c(r) - 4*z(r). Determine x(p(g)).\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-2))\/(9\/18). Let n = k + -11. What is the common denominator of 77\/8 and (-858)\/(-60) - (4 + n)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183220301*m**2*z**2 - 2*m*z**2 + 2*m*z - 1471*m + z**2 - 24 wrt m?\nAnswer: -366440602*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.05 + 1.05. Let b = -61 + 104. Let j = 36 - b. What is the fourth biggest value in -4, t, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(11\/(-4) - -2). Let q be 1 + 2 - (n - -6). Solve x + 5 + q = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 336 - 7*q**2 - 215 + 3*q**2 + 2*q**3.\nAnswer: 4*q**3 - 4*q**2 - 551","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*j + 3. Let f(d) = -d**3 - 6*d**2 - 11*d - 4. Let a be f(j). Suppose 0*v + 260 = 4*v. What is the highest common divisor of a and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6348 and 783449.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*j + 0 + 7*j + 1 + 2*j - 3*j + 0*j + (-6*j + 2*j + 3*j)*(-19 + 39 + 46) to g*j + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -260*o - 5976. Let v be j(-23). Solve -v*s = 2*i + 8, -3*i = -58*s + 55*s - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-33) - 0) + (-81153)\/33. Let o = -1189 - s. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*i + 14, 5 = 3*i - 3*z - 13 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.5, -7, 10.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 31 - 9)*(13*u**2 + 0*u**2 + 12*u**2).\nAnswer: -1525*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/(n*n*n*(n*n**(-17))\/n*n))\/(n**1\/n*(n**(-9)\/n)\/n*n) assuming n is positive.\nAnswer: n**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 6*sqrt(65)*-2 - sqrt(65) - 6*sqrt(65)*2)\/(5*sqrt(605)*3 - sqrt(605)).\nAnswer: -12*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3791.36 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.071 (c) 2 (d) 3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) 2 (b) -1273228 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -978*p**2 + 3407*p + 2859754 wrt p.\nAnswer: -1956*p + 3407","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 143534887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -81, 5, 42, 4, 9 in descending order.\nAnswer: 42, 9, 5, 4, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6206697 is divided by 81667.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 - 1 - 3)*(4*x - 4*x - x) + 2*x - 4*x + 0*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23640 divided by -4?\nAnswer: 5910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6334087 * 0.08\nAnswer: 506726.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/1523, -1, 4, -0.2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 = 44649*l - 44614*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.047 (b) 0 (c) 1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 > 597\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-92 - -20) + (33 - (16 + 5))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145.5 - 50.5. Let y = -94.92 + f. What is the smallest value in -1, 0.11, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -4454*s**2 - 11548*s + 8517. Find the first derivative of n(h) wrt h.\nAnswer: -8908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*d - 7797 = -21401 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113 + -89. Which is smaller: 22 or z?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.97 - 24.97. Let d = 236 - 2604\/11. Let m = d - -2\/33. Which is the second smallest value? (a) -4\/3 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 - 176*y**2 - 1680*y - 4608 = 0.\nAnswer: -32, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -73\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -514 + 569. Suppose -c*m + 5 = -56*m. Let g(f) = 7 + 8*f + f**3 - 6*f**2 + 13*f**2 + 0*f**3. What is g(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -5*q, 2*q + 0*q - 2 = 0. Let g = 157 + -152. Suppose g = 3*k + d. Sort k, 8, 3, 4.\nAnswer: k, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3\/5 - 18393*s**2\/5 - 732117*s\/5 - 7290927\/5 = 0.\nAnswer: -6091, -21, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**8\/560 - 3*f**7\/280 + f**5\/10 - 20*f**3\/3 + 16*f - 6. Let v(b) be the second derivative of h(b). What is l in v(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -3 - (-2 + 1 + 0 + (-182 - -179)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2. Suppose -3*x - 2*q + 182 = 0, -7*x + 3*x + 240 = 4*q. Let t be x\/(-22) + 10\/(-55). Let h(i) = 5*i**2. Determine t*b(o) - h(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -192733 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0)*((-93)\/(-279) + 2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2209.5 and -2.\nAnswer: 2207.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 1:42 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v + 3. Suppose 18 - 17 = -u. Let f be w(u). Let d = -965\/14 - -69. Is d < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.5 rounded to the nearest integer?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607902 to the power of 1\/2, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 582868.7 millimeters?\nAnswer: 582868700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (72\/42)\/(1\/7). Let j be ((-13)\/4)\/(x\/(-48)). Suppose 10*l = j*l - 144. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 8526*p**5\/5 + 1051*p**2\/2 - 4*p + 950. Find the second derivative of h(x) wrt x.\nAnswer: 102312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-3 + -7 + 9). Let n(t) = -t**3 - 7*t**2 - 7*t - 3. Let h be n(-6). Let k(m) = -5 + h*m + 3 + 0 - 1. Determine k(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4\/5 - 53628*g**3\/5 + 66535968*g**2\/5 - 21174707588*g\/5 + 21108225246\/5 = 0.\nAnswer: 1, 643, 25527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z + 5 = -2*m, -2*m = 4*z - 2. Let n(f) = f + 6*f**2 + 5*f**2 + 3 - 2. What is the tens digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*i**4 - 7*i**4 + 59 - 2*i - 19*i**4 wrt i?\nAnswer: -80*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6955\/3552 + 25\/1184. Calculate the common denominator of v and 121\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crk when three letters picked without replacement from {m: 1, c: 1, k: 1, r: 1, n: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226488 is divided by 2220?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/88462000 and -123\/5060.\nAnswer: 2034626000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - t = 2, -3*t = -2*t + 2. Suppose -2*m + 6 + 38 = y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.04 (c) 3\/2 (d) -0.5 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d. Let l(i) = -3*i**3 - 8*i**2 - 2*i - 3. Let u(g) = -l(g) - 2*o(g). List the prime factors of u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 4 + 3)*(30*z**3 - 592*z + 591*z + 47*z**3).\nAnswer: -1232*z**3 + 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5180\/(-259)*(3\/5)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-10) + (-25)\/(-2). Let v = h + -1. Let f be 0*(58\/(-580) - 2\/(-20)*-9). Solve f = -4*n - 5*a - 32, 5*n + 4*a + v = -19 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 3231?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifff. Give prob of picking 1 f and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219\/262 + -119851\/5502. Let m be 1\/3 + (-438)\/(-63). Let q = u + m. Calculate the common denominator of q and 123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349091 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -1.8. Let o = 13.06 + -13.1. Which is the nearest to o? (a) l (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-280)*-5)\/(10\/16)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 11. Let r(w) = 9*w - 21. Let p(k) = -13*a(k) + 6*r(k). Let y be p(-8). What is the nearest to -1 in y, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.84 - 15.44. What is the third smallest value in 11.8, -1, -2\/17, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15186*u - 3103*u - 2069*u + 1656*u to the form d + v*u and give v.\nAnswer: -18702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 36. Let a = 20 - b. Suppose z = 2*t - 2*z - 101, -z + a = 0. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 5)**2 + -2 - sqrt(18)) + 5.\nAnswer: 27*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = z - 7, -2*x + 5 = z + 1. Let a be 14*(1 + (-1)\/z). Is (a\/6 + -4)*-742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**3 + 22*b**3 - 37*b + 60*b - 34*b**3 - 41*b as h*b**2 + w*b**3 + m + y*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-45))\/((-4)\/18). Is q\/(-8) - 1059\/(-12) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*p**3 + 8462057*p - 10*p**3 - 13*p**3 - 5*p**3 - 8462057*p.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 0. Solve -r - 1 - 2 = h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 8*s - 5. Suppose 0 = 4*h - 3*c - 19, -2*h + 6 = -4*c - 16. Suppose h - 28 = -3*t. What is the units digit of v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31778 and 771.\nAnswer: 24500838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123722?\nAnswer: 2, 61861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12 and -25\/164.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + a = 948, 9*a = y + 4*a - 200. What is the highest common factor of y and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26750289 + 26750289 - 5083*h)*(3 - 1 + 0)*(3*h - 3*h - 2*h).\nAnswer: 20332*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -64584270 divided by 3\nAnswer: -21528090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/9)\/(3 - 2). Suppose 5*k - 4*b = -3*b + 23, d = 5*k - 2*b - 26. Solve -r - k*o - 6 = -o, -5*r - 5*o = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 9 + 11)*(s - 3*s**2 - s - 2*s)*(0 - 4 - 1) in the form t*s**2 + c*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101011000111 (base 2) in base 9?\nAnswer: 120264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -3. Let b = -95 + 102. What is the greatest common divisor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 3\/11 (c) -1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41200.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let x = 0.2 + t. Let g = 111 - 775\/7. What is the third biggest value in g, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 54, -1618, 6, 3.\nAnswer: -1618, -1, 3, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -843.01 - -799.5. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 3*v**3)*(-2 + 2 - 2*v) + 2*v**2 - 2*v**4 - 2*v**2 + 97*v**4 - 177*v**4 - 113*v**4.\nAnswer: -201*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by 3\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5, 6*x - 1318 = -2*p + 8*x. What is the highest common divisor of 9075 and p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -57. What is the units digit of n + -4 + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12604 and 1196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4, 5*t - 3*t + d + 2 = 0. Solve t*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9171342671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 57\/2, -1, -0.1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4943 and 10068891?\nAnswer: 10068891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16*i**(-14))**(-33) assuming i is positive.\nAnswer: i**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.37, 0, -0.041, -2\/19?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21a - ab68?\nAnswer: -b186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 46. Put -55, x, -5 in descending order.\nAnswer: x, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 39. Let y = 10 - f. Suppose 5*d - y = 70. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m. Let c(d) = d - 1. Let t be c(2). Let h be z(t). Solve 3 = -h*g - g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 232 = -548 + 120 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 121*w + 3386. Let n be t(-25). Which is greater: n or 350?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 11. Let b be h(-1). Solve -2*j = 2*j + b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:54 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 3, 572, 0.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (17 + -10) - 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49903 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -42*u - 425. Give z(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Suppose -3*c - 4*i + 18 = 0, -5*c - 2*i + 7*i + 65 = 0. Let a(k) = -k + c*k - 7*k. Calculate a(d(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3879290 less than -3879289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.01 + -0.01. Let d = g + -17.6. What is the nearest to -0.1 in 4, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5835 - 2*h - 2898 + 64*h**3 - 2896 + (0*h**3 + 2*h**3 + 0*h**3)*(-3 - 1 + 6) + h**3 - 2*h**2 + 2*h**2.\nAnswer: 69*h**3 - 2*h + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 1)*(-4 - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 38*f**2 + f - 28. Let h(o) = 189*o**2 + 5*o - 136. What is 6*h(a) - 29*k(a)?\nAnswer: 32*a**2 + a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15086136 to the nearest integer?\nAnswer: 3884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 7}. Give prob of sequence ynny.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by 9\nAnswer: 113\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 40 = -56 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 146501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3552 (base 8) to base 15\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 2171103302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.46 + 0.04. Let x = -170 + 3228\/19. What is the nearest to -0.04 in 3, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 55 - 54 - 2*h**2 + h**2. Suppose p + c = 4, -2*p - 2*c + 11 = 3*p. Let w(q) = q**2 + q - 1. Determine p*t(f) - w(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/35366184 and 19\/90941616.\nAnswer: 636591312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5587432 kilograms?\nAnswer: 558743200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15*(-2)\/(-6)*1. Suppose 0 = -15*q + 1711 - 106. Suppose 10*o = 53 + q. Solve -b = -i*b + o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:29 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 + 0 - (24 - (-8701)\/(-364)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let r(n) = 1 - 1 + 939*n**2 - 931*n**2. Give r(d(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 3\/4*p**4 - 1\/60*p**5 + 0 - 4*p**2 + 0*p + 1\/2*p**3. Let w be m(15). What is the highest common divisor of w and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12374 + 61?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i + m - 393 = 0, -m - 3 = 0. Calculate the greatest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 580.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q + 0*q + 2*q**3 + 6*q**2 - 3*q. Let m(j) be the first derivative of 2 + 5\/2*j**2 - 1\/2*j**4 - 5\/3*j**3 + 0*j. Calculate -5*g(d) - 6*m(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*o + 1. Let f be 0\/(o\/9*3). Sort -4\/7, f, -1\/4 in descending order.\nAnswer: f, -1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(7\/5)\/(i\/(i*i*i**(-28))))**(-4\/9))**(1\/10) assuming i is positive.\nAnswer: i**(256\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*p + 738 = 3*p + 180 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 18*k - 6. Calculate i(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -1)*4*-4 + (sqrt(700) - (-4 + (sqrt(700) - (2*sqrt(700) - sqrt(700))) + sqrt(700)) - sqrt(700) - (0 + sqrt(700) + 3 - sqrt(700))))**2.\nAnswer: -5780*sqrt(7) + 202589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*x**2 - 3*x**2 + 3*x**2 + 2*x**2 + 4*x**6 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -3. Suppose 4*t - z = t. Let y(p) = -14*p + 5*p**t + 14*p. Let c(l) = -2*l**2. Determine c(y(g)).\nAnswer: -50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from yyyycuc.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9814 is divided by 3217.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.2 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*a - 10, 0 = -5*g + a + 12 - 3. Let b(y) = 4 - g - 2. Let m(z) = 6*z - 2*z + 365 - 370. What is -6*b(h) - m(h)?\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 37, 62, 103, 166, 257?\n\"Answer: a**3 - a**2 + 11*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by 23?\nAnswer: -208\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2, 3.6.\nAnswer: 0, 2, 3, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -19. Let w = 405 - 401. Calculate the greatest common factor of w and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 8911?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78.3 + -78. What is the nearest to i in 0.1, 3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 - (35 + -15) - -20. Solve -2*y = 5*a + 17, 12*a - o*a = -y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-4) + 385\/110. Let v = -8 + 3. Which is the nearest to i? (a) v (b) -12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1329\/1772)\/(6\/10)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -2.7 (c) 766\/29 (d) 3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(180)\/sqrt(4) - sqrt(45))\/((sqrt(9) - sqrt(36))*1 - sqrt(9)) - ((sqrt(360)\/sqrt(96))\/(sqrt(972) - sqrt(972)*2))**2.\nAnswer: -5*sqrt(5)\/2 - 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (7 + (11 + -7 - 10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 3 + 0*q + 497*q**4 - 2*q + q as o*q + m + v*q**3 + u*q**4 + s*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 + 6*y**2 - 2*y - 8. Let t(p) = p**2 - 1. Let d(w) = b(w) - 3*t(w). Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167297315.\nAnswer: 5, 33459463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5. Let k = -5.9 - -0.9. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1011455\/8322132 + 12\/7621. What is the common denominator of y and 43\/28?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305154300 rounded to the nearest 1000000?\nAnswer: 5305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + b + 2*b = 7, 5*b - 17 = 4*n. Suppose 0 = -h + n + 2. Solve -2*m = -2*i + 6*i + h, 3*i - m = -13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -8) + -2 - 5 - (-1 - 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427898 less than -0.0023?\nAnswer: -1427898.0023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(-8\/5))**(-2\/21) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.778883 decades in years?\nAnswer: 97.78883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16872258 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 612*i**3 - 303*i**3 - 306*i**3 + 12*i to z + r*i**2 + b*i**3 + v*i and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d19 - 0?\nAnswer: 2d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205683197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 18252*v**2 - 949104*v - 13880646.\nAnswer: 2*(v - 117)*(v + 39)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Sum 1811269 and 310809.4.\nAnswer: 2122078.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 3552495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Let a(v) = v + 4*v + 8 - 2*v - 2*v. Let u be a(-2). Solve h*f + 0 + u = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a + 2212 = -30*a + 115*a. Sort -3, 3, -4, a.\nAnswer: -4, -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229585 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 682 and 1984?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2b97 (base 15) to base 14\nAnswer: 35b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:35 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:27 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqlqllqwlqwqqll. What is prob of picking 2 l?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 83589.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 7*c + 3*c - 10*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/41 and 17\/3895?\nAnswer: 3895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, h: 2, u: 2, l: 4}. Give prob of sequence uhd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22.63 + 19.63. What is the smallest value in 2, u, -206, -1\/4?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 less than or equal to 1700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -8, -1 in decreasing order.\nAnswer: 5, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52375\/(-88828) + 11\/1749?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 2)*(-1 - 2 + 1) - 3 + 2 + 0)*(-1 - 3*r + 1)*(5 - 1 - 1) to w*r + p and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 - 2*n**2 - 11*n - 8. Let o be s(5). What is the third derivative of 63*u**2 + 0 + 289*u**6 - 819*u**6 - 2 + o*u**6 wrt u?\nAnswer: -17160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 12 = -4*d - 11, -5*d + 4*u - 25 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2765526 and 856200?\nAnswer: 276552600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*k - 22 + 53, -k = 2*q - 12. Solve t + 3*x = q, x = 5*x - 16 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3455*j**3 + 1596*j**3 + 311 - 1510*j**3 - 155 - 156.\nAnswer: 3541*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 20 = -a. Suppose 3*h + 1 = -a*w - 8, 0 = 3*h - 2*w - 12. Suppose 0 = 5*i - h*i - 18. Solve -r - d = -4*r + 4, i = r - 5*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = f - 4*f. What are the prime factors of f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 634 + 1027 - 4794.\nAnswer: -4*f - 4401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -257*n. Let h(f) be the second derivative of 79*f + 0*f**2 - 1\/6*f**3 + 0. What is h(v(x))?\nAnswer: 257*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 13 = -2*u, -24*u + 29*u = -4*g - 22 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-2 - -3) - -1 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/(-10)*10*(4 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + o + 3*o)*(-3 + 3 - o)*(-3*o - 2 + 2).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2776 = 7*g + 1354. What is the least common multiple of 16 and (-34)\/(-8) + 1 - g\/(-472)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(704) + 1) - (5 + sqrt(704)*1)) + (sqrt(165)\/(sqrt(5) - sqrt(20) - sqrt(5)))\/(-2*sqrt(3)*3))**2.\nAnswer: 191*sqrt(11) + 406475\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 3) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 8*q**4 + 172*q**3 + 944*q**2 + 1776*q + 1152 = 0. What is q?\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - 1d95a6?\nAnswer: -1d95bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.013 + -4.987. Let g = 17 - 16. Let b be (-1 - g) + 0 + 7. Sort r, -1, b in descending order.\nAnswer: b, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(200)*2) + 3*sqrt(98)*1 + sqrt(98) + (-5 + sqrt(98)*-2)**2.\nAnswer: 188*sqrt(2) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.899424 micrograms to grams.\nAnswer: 0.000008899424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -551776.9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 0. Let i(g) = 0 - g**3 + 1 - 7*g + b*g**2 + 5. Is 35 a factor of i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3075, 24.\nAnswer: -3075, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1363592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyw when three letters picked without replacement from nnwoyzzynnoznony?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 91*l**2 + 71*l**2 + 11*l**2 to the form p*l**2 + g*l + q and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-11 - (-12 - 15)) + -21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = 3*z + 20, 128*y - 3*z + 105 = -119*y + 256*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z - 6 + 3 = 0, 32 = 5*v - 4*z. Suppose -3*d = 2*d - v*a - 10, 0 = 3*a. Solve r - 5*u = -13, 0 = -r - 2*r - d*u + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.2. Let u be ((-7)\/3)\/(((-8296)\/(-102))\/(-61)). Is u < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/6 + 5*d**2. Let c(y) be the second derivative of -2*y**3\/3 + 3*y - 33. What is c(p(t))?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 720*z + 107932. Determine i(-212).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g = 21*g - 160 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/11 in 1\/3, 4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 2482870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a factor of 139290883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 0*j)*(-3*j**2 + 2*j**2 - 3*j**2) - 3*j**3 - 2*j**3 + 4*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let v be g(-4). Let a be (v\/5)\/((-14)\/35). Suppose 5*p = a*p + 219. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3028 + -2958 - (54 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4185, 1\/111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 1. Let f(u) = 4*u + 21*u**2 - 11*u**2 - 1 - 9*u**2. What is 2*a(i) - f(i)?\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/315 and 79\/17325.\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 96294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3636312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.93597 - 0.06403. Let k = 6 + -6.4. Let w = -9 + 5. Which is the biggest value? (a) w (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 6 = 4*b, -4*t - 251 = 78*b - 52*b + 71*b - 49 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239064 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:39 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/2 - 438*f**2 - 16011*f\/2 - 36207 = 0. What is f?\nAnswer: -9, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 2*j - 1177*j**3 - 250*j**3 + 82.\nAnswer: -1427*j**3 + 2*j + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**2 + u. Let v be d(-1). Suppose -6 = -4*p - l + 7, -3*l + v = 3*p. What is the remainder when 32 is divided by (-66)\/4*(-2)\/p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + -2.5. Which is the third biggest value? (a) 1\/2 (b) 5 (c) y (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-99))\/((-2)\/(-4)). What is the second smallest value in 3\/2, 0, x, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 4 - 7)*(5*z**2 + 0*z**2 - 2*z**2) + (5*z - 2*z + 0*z + (3 + z - 3)*(0 + 0 - 1))*(21 - 21*z - 21).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(4*sqrt(128)))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - 3*k + 3*k)*(7*k - 5*k + 0*k)*(4 - 4 - 3).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {c: 3, y: 5, e: 2, d: 3, a: 1, j: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 2*i)*(0*i + 2*i + 0*i)*(8*i**2 + 10*i**2 - 4*i**2) - 3*i**4 - i**4 + 2*i**4.\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 591921401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -557 greater than or equal to -553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2577.9231ms?\nAnswer: 0.00071608975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 2*c**2 + c - 1. Determine n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - 0.07. Which is the biggest value? (a) -3\/8 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 0*i - 10 - 4\/9*i**3 - 1\/3*i**2 - 1\/6*i**4. Let k(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 + 2*n + 2. Let h be q(-2). Suppose 3*k - 6 = 0, -3*k - 32 = 4*z + h. Let j = -7 - z. Solve 0 = 2*x + 3*x - j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 29*w**2 - 29*w - 24. Let f be s(-27). Let o = f - 1204. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Let b be z(-8). Let j be 8\/3 - b\/(-9). Find the third derivative of 9*g**2 - 3*g**3 + j*g**2 - 6*g**2 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofnfnuuo. What is prob of sequence un?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/6 - (2\/3)\/((-16)\/320196) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623080 divided by -21\nAnswer: -623080\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63492808?\nAnswer: 2, 227, 34963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*w**3 + 26 + 122*w**3 - 26 - 4*w to y*w + m*w**3 + p + t*w**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 24 + 24. Suppose 0*o + q*o - 144 = -3*i, -2*o = 2*i - 70. Let z be 4*2*(-52)\/(-16). What is the highest common divisor of o and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 + h - 1. Let g(q) = -q**3 + 2*q**2 - 4*q + 5. What is -g(u) - 4*o(u)?\nAnswer: -3*u**3 + 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n - 132 = 0. What is the highest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*-20*(-13)\/936\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + 23. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-2)\/(8\/62)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30527 and 2295013.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + o - 2, 2*p + 20 = -4*o + 22. What is the closest to p in -0.48, -1, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44303 + 850*b + 72*b - 44303 in the form u + q*b and give q.\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**3 + 6. Let s(c) = -c**3 - 1. Let k = 9422 + -9392. What is k*s(m) + 5*a(m)?\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 + 3*d - 8. Let i be s(-5). Let o be 4 - ((-18)\/4)\/(i\/(-4)). What are the prime factors of (162\/o)\/(14\/(-70))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -50*t**2. Let a(z) = 2903*z**2. Determine a(n(s)).\nAnswer: 7257500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -140, -315, -560, -875, -1260, -1715?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 2. Let z(l) = -1. Let w(x) = -x**3 - 2*x**2 + 4*x + 1. Let k be w(-3). Let u(f) = k*z(f) + t(f). Let q(n) = -4*n. Determine q(u(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -383\/4, 157, 2\/25.\nAnswer: -383\/4, -3\/4, 2\/25, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhexwhhhhwhxxhkkh. What is prob of picking 1 h and 2 w?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*z + 59, 20*z + 3*t - 58 = 15*z. What is the remainder when 547 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279.9 + 262. Let n = h - -18. Let i = 0.04 - -1.96. Which is the nearest to n? (a) i (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 + 11*x - 104. Let d be w(8). Factor -55*p + 126 - d*p**2 + 25*p - 39*p + 627*p**2.\nAnswer: 3*(p - 21)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -100. Suppose -t + 197 = 2*j. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 3, p: 2, h: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:20 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*k + 21997 - 24945 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-8\/7))\/u*u\/(u**(2\/43)\/u)*u assuming u is positive.\nAnswer: u**(545\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 392351*w + 33. Let u(a) = -a**3 - 8*a**2 - 8*a + 10. Let n be u(-7). Let c be i(n). Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10312 is divided by 462.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 - 181 - 6*s**2 - 132)*(-s + 3*s - 4*s).\nAnswer: 2*s**3 + 626*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5016, -10030, -15046, -20064, -25084, -30106, -35130?\n\"Answer: -r**2 - 5011*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j + 9. Let k be (-2)\/4*j\/12. What is the third biggest value in -1, 0.4, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124425860.2670314 - -124425844. Let j = -1.2670484 - g. Let a = j + -15. What is a rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 9*p**2 - 13*p - 2. Let w be x(7). Suppose -4*m + 5 = t, -5*t + 37 = 3*m - w. Solve -3*d = -2*s + 7, -4*d - 2*s + 5 = -t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -28*d**5\/5 - 81*d**2\/2 + 226*d. Find the first derivative of q(i) wrt i.\nAnswer: -336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151177 and 1925201.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2. Let w be -2 + 8 + -4 + 0 + -2. Let d(k) be the first derivative of w*k - 1\/3*k**3 + 2 + 0*k**2. Calculate i(d(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 5. Suppose -j*u - 8374 + 884 = 0. Calculate the common denominator of 47\/14 and (2\/(-8))\/(49\/u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -39. Suppose 4*y - t*v = v + 1812, 0 = -3*v. Suppose -y = 3*s - 4*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39463*0.029.\nAnswer: 1144.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 26*b - 10. Give x(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 + 3*y - 5. What is o(3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -33. Calculate the greatest common factor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 123. Suppose 5 = -v, 0 = 4*u + v - 3*v - 86. What is the greatest common divisor of o and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 326963.8784442.\nAnswer: 326967.8784442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b\/(b\/(b*b**37*b*b*b))*(b\/((b*b**7)\/b))\/((b*b**(-22))\/b))**(-2\/159) assuming b is positive.\nAnswer: b**(-130\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 45*y + z = -5, y = -3*z - 15. Solve -7*h + 3*h - d = y, -5*h + 2*d = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 20. Let f be h(8). What is the tens digit of (-111)\/f - 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2223 and 9436464.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l**2 + 2*l - 2. Let v(n) = 48*n**2 - 3*n + 39. Let w(z) = 4 + 9 - 4 - z + 12*z**2. Let t(h) = 2*v(h) - 9*w(h). Determine 3*k(x) - 2*t(x).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846477461.\nAnswer: 151, 5605811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)\/(b\/(b**0*b)))\/((b\/b**(-2))\/b*b**(-4))*b**5\/b**5*b**(-2\/13)*b**(-2) assuming b is positive.\nAnswer: b**(-31\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.9 + 6.9. Let c = d - -31.1. What is the second smallest value in c, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -20. Which is bigger: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*b, -3*l - 4 = -0*b - 4*b. Solve -1 + c**2 - 5 + 2 + l*c**2 = 0 for c.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*n*q*z**2 - 5*n*z**2 + 3*q*z**2 - 181*z**2 wrt n.\nAnswer: 4*q*z**2 - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32093 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuiiiivvcfuvvivii. Give prob of sequence vv.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let k(s) = 2*s - 10. Let x be k(9). Let h be (-5)\/20 + 26\/x. Solve y = o - 7, -h + r = 2*y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -1039, -1351, -1663, -1975, -2287?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 343461097 and -0.2.\nAnswer: -68692219.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 13. Let j = t - -89. Which is the nearest to -2\/7? (a) -3 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 5.7?\nAnswer: -3.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 197202 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14570 = 4*n, -3*i = 48*n - 53*n + 18253. What are the prime factors of n?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11406 - 1664110?\nAnswer: -2005516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-9))\/7*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*q - 9, 4*z = 2*q + 421 - 435. What is the nearest to -3\/2 in z, 1, 0.3, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 2)*(-5*j - j + 2*j) - 4 + 4 - 2*j + (-1 + 0 - 1)*(-j + 4*j - 4*j) to d*j + i and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/2))**(-4\/3)*n**(-1\/6)*n**(-2\/15)*n assuming n is positive.\nAnswer: n**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 4)\/(-1) - -38. Suppose -d = -6*q + 2*q + 40, 0 = q - 5*d - 10. What is the greatest common divisor of h and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*p**2 - 12\/7*p + 0.\nAnswer: 2*p*(p - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/63, -2, 0.4, 3, 30 in descending order.\nAnswer: 30, 3, 0.4, -4\/63, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t + 6. Calculate the least common multiple of 9*(2\/t + (-1 - -1)) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2100 (base 3) to base 16\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276, 1130, 890, 556, 128?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 8*s**2 + 15*s - 10. Let p be q(6). Suppose p*a - 296 = 4*a. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 12. Let z = 153 + -153. Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*a - 0*h + 32, 0 = 4*a - 2*h - 32. Suppose 3*v = a*v - 9. Suppose 0*i = v*i. Solve 4*s + i*s - 5 = -5*x, 5*s - 2*x + 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b**2 + 1)*(0*b**2 - 2*b**2 + 4*b**2) + 3496*b**2 - 29*b**4 - 3496*b**2 - 8*b**4 + 0*b**4 + 2*b**4.\nAnswer: -37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/4 of a century?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180454557 is divided by 440.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 45*i**2 - 23*i - 12. Let w be ((-19)\/38 + (-5 - 342\/(-12)))*-1. Calculate m(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)\/(85\/15 + -5). Let q = -10 + 5. Let a be q\/s*-6*1310. What is a rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 1 - -22*1. Suppose 2*u + 3*u = -2*d + a, 2 = -5*d + 3*u. Let x(j) = 12*j**3 - j**2. Is 27 a factor of x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let y(z) be the second derivative of -z**4\/6 - z**2\/2 - 3*z. Let c(g) be the first derivative of y(g). Let p = -2 - 2. Determine p*c(x) - 18*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 5:15 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789642202.\nAnswer: 2, 3, 464940367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 + 3*g + 1. Let j be m(3). Let o be j\/(-3) - 25\/15. Let p = 3 + o. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4464?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9621 - -13553. List the prime factors of f.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3223 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163234*d**4 - 12*d**2 - 4009382.\nAnswer: 652936*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + -6 + 0 + 4. Suppose -o + q*s - 93 = 0, -5*s + 311 = -5*o - 94. Let m = o + 236\/3. Put 0.1, -2, m in increasing order.\nAnswer: -2, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -72. Let s(j) = -j**3 - j**2 + 2*j + 1371. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + -1. Let c = y + 13. Suppose c*v - 7*v + 72 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 36*x\/5 + 18.\nAnswer: 2*(x + 3)*(x + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 379890 and 7.\nAnswer: 2659230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15858 + 15858. Let n be 0 - 1 - (1 + -2). Solve b*a + 4*a = n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(95)\/(sqrt(15)\/sqrt(3)))**2 - sqrt(38)\/sqrt(2)*6).\nAnswer: -24*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k. Let d(j) = -30*j + 24*j**2 - 5*j**2 - 5 + 25*j. Let o(c) = 48*c**2 - 12*c - 12. Let x(h) = -12*d(h) + 5*o(h). Give b(x(t)).\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 21. Let h = 5 + -5.3. Let t = -0.03 - -0.13. Sort b, h, t.\nAnswer: b, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1901307, -3802616, -5703925?\n\"Answer: -1901309*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -387 + 625. Calculate the greatest common divisor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 22972450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.124 + -50.876. Let o = r + 52. Let h(p) = -p. Let g be h(3). Which is the nearest to o? (a) 1 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:57 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 6*d**4 - 12*d**3 - 52*d**2 - 54*d - 18.\nAnswer: 2*(d - 3)*(d + 1)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (66\/(-165))\/((-4)\/150). Solve 0 = f + p - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10897792 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 1011*f**3 + 738*f**3 - 40 + 19.\nAnswer: 1749*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 7*g + 3. Let d be p(7). Suppose 0 = 2*z + d*z - 20. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4717, -3677, -12059, -20423, -28763, -37073, -45347?\n\"Answer: d**3 - 8401*d + 13117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6735 - -6742. Solve s + 5 + a = 5*k, 0 = k + 2*s - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + (-36 - -42) + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 8. Let m = 49 - 38. Calculate the smallest common multiple of t(7) and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 3, x: 5}. What is prob of picking 2 s and 1 x?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1301 + -760. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/475)\/(-6) + (-854)\/50.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10606*u - 103625 + 18777 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 9*v - 9. Let m be d(6). Let k be ((-126)\/5)\/(2\/(-10)). Let h = k + -114. Calculate the greatest common factor of h and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uua when three letters picked without replacement from {a: 2, u: 18}.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6874516671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12081632 + -12081733.00051. Let k = l + 101. What is k rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let v(n) = 18 + 29*n**2 - 19 - 58*n**2. Give v(l(f)).\nAnswer: -29*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + l - 64 = 0, -2*x + 0*l = -4*l - 38. What is the highest common divisor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 13*b - 1612. Let h(x) = b - 72 - 61 - 10*x - x**2. Calculate h(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -744.7 + 746.7. Which is the nearest to 74? (a) v (b) 0 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 11 (c) 3\/7 (d) 95 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3435\/26793*54\/(-5). Which is bigger: 12.2 or j?\nAnswer: 12.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16*(7 - (190\/40 - -6)). Let a be 219\/15 - (-4)\/10. Calculate the highest common factor of o and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15588 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 1. Let u(i) = 9 - 2*i + i - 2*i - 3. Suppose -4 = -5*c - 9. Give c*u(s) + 5*l(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*m = 3*m - 268, -3*v + 201 = 3*m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/39 - 4\/26. Is 30 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d - 22*d = 13*d - 252 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 28*i**2 - 306*i - 5745. Determine q(-25).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4344565.18 plus 5204?\nAnswer: -4339361.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -46*l**4\/5 + 5020528*l**3\/5 - 27399465966*l**2 + 535997890772*l\/5 + 47644412176\/5 = 0.\nAnswer: -2\/23, 4, 54569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -62 (b) -3\/2 (c) 2\/15 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/24 - -1\/6. Let g = -1449 - -1445. Put 4, g, k, 2\/15 in descending order.\nAnswer: 4, 2\/15, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u - g, 10*u + 4*g + 1 = 15*u. Which is the closest to u? (a) 5\/3 (b) 0.2 (c) -0.37 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/324 - (-61)\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, t: 8}. What is prob of sequence ft?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 40 + -5 + 74?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 3*y + 30 = 0, 101*l + 3*y = 28*l - 80*l + 22*l - 393 - 232 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m. Let z(b) be the second derivative of 15*b + 0 - 1\/3*b**3 + 0*b**2. Calculate z(a(v)).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163064 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11.2, -18, 5, 89399?\nAnswer: 89399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 7*m - 12800000. What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -1, -25491, -5.\nAnswer: -25491, -5, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - -29. Suppose -2*r = 6*u - 5*u - 2, 0 = r - 3*u - 1. Suppose -y - 3*v + r = -66, y + v = p. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 281320.4 litres?\nAnswer: 281320400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 2 t when four letters picked without replacement from {a: 7, t: 2, q: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*b - 8 + 261 = -59. Let g(c) = -2*c**2 + 2*c + 38. Determine g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58887 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 65. Let o = -16 + a. Do -36 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(2 - (-2 + 3)). Let o(n) = -2*n**2 + 3 + i - 1 - 5*n - 2. Determine o(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e99 - 2?\nAnswer: 1e97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275687 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 2. Give p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 25262.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1068)\/(-2403)*198\/(-4). Which is the biggest value? (a) -0.15 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14*j - 11*j - 21*j + 49*j - 9*j.\nAnswer: -6*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5\/5 + 22584*n**4\/5 + 63363132*n**3\/5 + 78413801766*n**2\/5 + 35992700237553*n\/5 - 21737107512630 = 0.\nAnswer: -2027, -1450, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -333424324 (base 5) to base 6\nAnswer: -51241452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3324, -6605, -9884, -13161, -16436, -19709?\n\"Answer: q**2 - 3284*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253*44\/1012*36\/11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from {e: 3, t: 2, p: 11, r: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 33. What is a(-15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/33 + (-336)\/33. Let k be (s\/(-4))\/((-6)\/(-24)). Differentiate -k - 4*o**3 + 3 - 2*o**3 with respect to o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**10)*j*j**(4\/15))\/(j**(3\/4)*j**(-3\/5)))**(-32) assuming j is positive.\nAnswer: j**(4264\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + 130*p**3 + 78*p**3.\nAnswer: 201*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -6*f + 2. Let r be (f\/5)\/((-24)\/(-15)). Let d = -1046 + 1041. Which is the nearest to 1? (a) r (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 11*w = -520. Calculate the greatest common factor of w and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - ((12 - -15) + -53 + 12) - (3 + -1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -1022*q - 75635. What is g(-74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143160513 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 27cc94?\nAnswer: -27cc98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(-78))\/(1\/2514) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9816*k + 1111*k + 2546*k - 70079 + 70079 + 8765*k + 2 - 2 + k + (-2*k - k + 5*k)*(-2 + 3 + 0) - 3*k + 5*k - k + 1 - 1 + k to o*k + l and give o.\nAnswer: 22243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.4 - -6. Let x = h + -0.59. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78836538 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: Which is smaller: -1 or -552\/120799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*d**5\/5 + 328*d**4\/5 + 64*d**3\/5 - 166*d**2\/5 + 8*d\/5 + 6\/5 = 0 for d.\nAnswer: -3, -1, -1\/6, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*t - 95858 - 497787. List the prime factors of t.\nAnswer: 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 107. Let v be r*(95\/35 - 3). Solve 4*j - 6 = 4*b + 6, 0 = v*j + 2*b + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 14 + (-7)\/2)\/(11\/(-66))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 706\/13061 - (-36774)\/74. Solve -i = -g - 496 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 62*a**2 + 19 + 30*a**2 - 3*a**3 + 31*a**2 + 0*a to the form v*a + u*a**2 + d*a**3 + x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 15*s**2 - 3*s + 4. Let z be u(-15). Let m = -45 + z. Let w be (-8)\/6*(-12)\/m. Solve 0 = -w*d + 4*j - 24, 5*d = 3*j - 1 - 19 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68558 greater than 68559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.03\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 59765 = b, 77*b + 4*f = 80*b - 179301. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 43*v - 560. What is y(-53)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clif when four letters picked without replacement from {l: 6, c: 7, f: 5, i: 1}?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*x - 100 = 47, -2*x - 38 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-1\/5)*d)*d)\/d)**(-31)*d*d**(-6\/7)*d*d*d**(1\/7)\/d*d assuming d is positive.\nAnswer: d**(-137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(0 + sqrt(2)) + 5 - ((-3*(sqrt(2) + 0))**2 - sqrt(20)\/sqrt(360)).\nAnswer: -11 + 25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566112 is divided by 11319.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(240\/666)*(-304)\/(-228).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-2)\/(-4)))\/(794\/7940)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069411?\nAnswer: 29, 71359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*h = -1083*h - 458*h + 345*h - 33946 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + y - 13 = -2*p, 0 = -p + 4*y - 12. Let x = p - 1. Suppose 2*g + 0*k - k = 23, 3*g - 45 = -2*k. What is the remainder when g is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573) + -1 + (-2 + sqrt(1573))*1 + ((sqrt(1573) + sqrt(1573)*-2)*4 - 6*(sqrt(1573) - sqrt(1573)*2)))**2.\nAnswer: 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*j + 327 = 11*j, 116 = d + 4*j. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 - 2*y**2 + 3*y**2)*(-70*y + 149*y - 13 - 67*y) as m*y**3 + z*y + h*y**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 13 and -185910 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 4*u - 216 + 205, 0 = 4*w + 84*u - 316 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Suppose 4*v - x*v + 6 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6033 (base 9) to base 11\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6915?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 + 14*k - k - 14*k. Let y(h) = -4*h + 2. What is 4*y(l) - 8*z(l)?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**3\/3 - 7*v**2 - 24*v - 16. Factor i(x).\nAnswer: -2*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 10, -123*a + 2 = -127*a - 2*j + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5844518.00007 - -5844544. Let w = k - 26. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:55 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -657709 less than -9423.99?\nAnswer: 648285.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (-331)\/(-7). Let w(u) = -u - 28. Let s be w(0). Let n = s - v. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + 2 + -2 + (-1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v + 9 = 47*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 22. Let o be u(12). Let j = 17 - o. Suppose 3*i + 0*i - j = 0. Solve 3*b = 4*p - 20, 2*p + 0*b = i*b + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 3. Let u be t(-3). Let c(f) = f**3 - 8*f**2 - 11*f + 6. Let s be c(9). Let j = u + s. Solve 3*l - 2 = j*o - 4*o, 2*l = 5*o + 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320*l**2 + 3117*l**2 - 813*l**2 + 529*l**2.\nAnswer: 4153*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110010011 + 110101001111000?\nAnswer: 1001010000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.08 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -147?\nAnswer: 102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from ykryhhrrkyyyykr.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1845340627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.3272m to centimeters.\nAnswer: 31732.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1.23 (b) 2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.75202 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 8. Suppose -6 - h = -4*l. What is the third derivative of -3*d**4 - d**4 + 7*d**4 - 3*d**2 + 7*d**l wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 300942?\nAnswer: -1\/50157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-545)\/(-2412) - (-16)\/(-72). Let j = -28005\/268 - x. Let l = 104 + j. Which is the closest to -1? (a) -0.3 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/(-75)*(-20)\/8. Sort j, 0, 14, 2 in ascending order.\nAnswer: 0, j, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2*g - 1. Let h(t) = t**2 - 3*t. Let w(p) = -2*h(p) - 3*k(p). Calculate the least common multiple of w(3) and 11\/(4*1\/8).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34759281, -69518541, -104277801, -139037061?\nAnswer: -173796321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2653790.6225 to the nearest one hundred.\nAnswer: -2653800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -45*o + 58. Calculate a(-2).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 315509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -2\/5.\nAnswer: -2\/5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 306 * -0.01\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 178*y + 178*y + y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:57 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -20*v**3 + v**2 + v. Suppose -3 = 3*x - 0. List the prime factors of a(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, u: 2, l: 1, i: 8}. What is prob of sequence yi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084245 less than -0.1?\nAnswer: -0.015755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 3\/4*i**4 + 0*i**5 + 0*i + 0 + 0*i**3 + 23\/120*i**6 + 24*i**2. Find the second derivative of c(l) wrt l.\nAnswer: 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2933397 (c) 0.1 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 5*p**2 + (0 + 0 - 17*p + (-1 + 3 - 3)*(-2*p - p + p))*(-6*p + 0*p + 2*p).\nAnswer: 55*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -14 - -15 - 10\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + 5.0452. Round f to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 605, 168, -265, -694?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-16)\/(-4) + (-704)\/116. Which is the fourth smallest value? (a) 2 (b) -2\/3 (c) -0.3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 268 = 5*s + 308, 4*q + 28 = s for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -12523669.\nAnswer: -26299704.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 15 = -5*c, -5 = 273*c - 278*c - 3*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224532214 (base 6) to base 3.\nAnswer: -21210210101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -386.\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/13 - 320*t**2\/13 + 10664*t\/13 + 177504\/13.\nAnswer: 2*(t - 86)**2*(t + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzmz when four letters picked without replacement from {z: 2, m: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.04327?\nAnswer: 4.04327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*1 + 1176\/252. Let m(l) = -l**2 + 2*l. What is m(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 41*o = -14*o - 470 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - -473?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 7 + (2 - (-7 - -20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 3330 = -13410. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*k**3 + c**2*t - 1919*c*k**3 - 2*c*k**2 - 31614748*k**3*t + 2*k**2 wrt t?\nAnswer: c**2 - 31614748*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -3*l**5\/50 + 7*l**4\/40 - l**3\/10 + 3*l**2. Factor d(n).\nAnswer: -3*(n - 1)*(6*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 + 5*a**3\/3 + 7*a**2\/2 - 5*a + 2. Let v = 5 - -1. Let y be d(v). Let q(g) = -g**3 + g**2 - g. What is q(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**4\/5 - 36*b**3\/5 - 18*b**2 - 48*b\/5.\nAnswer: 6*b*(b - 8)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/195 - -479\/4095. What is the common denominator of -26\/99 and j?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5355345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)\/(c*c**2*c)*(c*c*c**1)**(2\/17))**(-1\/66) assuming c is positive.\nAnswer: c**(203\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 + q**2 - 24 + 6 + 5.\nAnswer: -2*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235923 is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -60*n. Let d(c) = 57*c. What is s(d(y))?\nAnswer: -3420*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.09, -2, 1226, -3, -0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-4) + -2)*-8. Let q = 1 - -10. What is the remainder when (-1)\/(2*o\/(-124)) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4760864 or 4760868?\nAnswer: 4760864","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9\/10 of a microsecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -9. Let n = 7 + m. Solve -11 + 3 = -n*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4896, -4, 2\/5 in ascending order.\nAnswer: -4, 2\/5, 4896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - d**2 - 2*d**2 - 3*d**2 + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + 3 - (0 + -45). Let l = m - 45. Does 29 divide (-1)\/l - (-582)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/15 - x**5\/30 + x**3\/6 + 9*x**2. Is m(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*l + 10, 8 + 12 = 4*x - 2*l. Let h be 10\/(-4)*(-8)\/x. Solve -5*f = -3*b + 19, 0*f = -2*f + h*b - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**2 + 7*q**2 + 6*q**2 + q**3 - 2 - q**2 - 37*q - 27*q to n*q + v*q**3 + o*q**2 + d and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*w + 372*w - 744*w + 142*w**2.\nAnswer: 142*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1, 22, 148, 4.\nAnswer: -5, -4, 1, 4, 22, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 12, z: 1, e: 1}. What is prob of sequence eczc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42845 and 182875?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1167?\nAnswer: 583.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-21))\/(3\/14). Suppose k = -2*v + 11, -5*k + 19 = -0*v + v. Is z <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {g: 1, l: 11, i: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*j**3 + 8*j + 3 + 2*j**3 to the form m*j + b*j**3 + v + q*j**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a + 1\/12*a**5 + 0 + 37*a**2 + 5*a**3 + 35\/24*a**4. Factor s(i).\nAnswer: 5*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 32. What are the prime factors of (-13)\/4*(2 + z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*0\/(-6). Suppose 50 = 2*j - n*j. What is the remainder when j is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 + 32*x - 3. Let w be (2 + 10\/(-3))*168\/28. What is c(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 38*q - 21. Is f(41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711 + -16*(-4)\/8.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {j: 1, z: 1, h: 1, e: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/221 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h = -69855001 + 69855859 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/21 + -1)\/((-92)\/828). Sort 2, d, -0.04, -2 in descending order.\nAnswer: 2, -0.04, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -468, -442, -414, -384, -352, -318, -282?\n\"Answer: d**2 + 23*d - 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131440249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:54 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 37 + (-571 - -528).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a = 71*a + 22*a - 5980 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3566479 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4277, -4446, -4615?\nAnswer: -4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092 > 6092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 - 3*t + 10427. Give r(47).\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-190)\/(-3) - (22 + 455\/(-21)). Calculate the greatest common factor of 357 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392\/84*(-6)\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263616 (base 7) to base 12.\nAnswer: 24690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550622 (base 7) in base 9?\nAnswer: 355486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 14109 - 14109 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*g + 7 + 8 = 0, 0 = -u + 3*g - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 + 10*r + 1. Let o be z(-5). Solve -3*j = 5 + o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-15))\/(8*1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*d = -16, 5*t + 14 = -4*d + 54. Let n(z) = z - 4. Let l be n(5). What is the highest common factor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + 3.8. Let f = 0.1002 - 0.0002. What is the nearest to f in q, -2\/9, -11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 396*l - 2 - 321*l + 4 in the form j + i*l and give i.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g**3 + 11*g**2 - 10*g + 1. Let z(t) = -13*t**3 + 11*t**2 - 9*t + 1. Calculate 6*q(c) - 7*z(c).\nAnswer: c**3 - 11*c**2 + 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 16, i: 3, t: 1}. What is prob of sequence mti?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -256\/5, 10\/11, 5, 0.1 in descending order.\nAnswer: 5, 10\/11, 0.1, -256\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 1.51. Let a = -1.72 - y. Let w = 0.12 + a. What is the nearest to w in 0.2, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -28, -41, -56, -73, -92, -113?\n\"Answer: -m**2 - 8*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-2)\/(-4))\/((-22 + 5)\/(-5950)) and 245?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1830 + -1823. Let m(d) = d + 18. Suppose -4*h + 27 = -7*h. Let n be m(h). Solve 4*z + s = -n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 7*z - 31, 70 = 18*z + 5*w - 0*w - 2*w - 5*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81293552*n**3*s**2 + n*s**2 - 11603*n - 28*s**2 + 4*s - 4 wrt n?\nAnswer: -487761312*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 4}. Give prob of picking 3 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -30330?\nAnswer: -30332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7.8237 * 0.059\nAnswer: 0.4615983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77534 + 314.5.\nAnswer: -77219.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**3 - 15*u**3 + 2*u**4 - 1 - u + 0*u**4 - u**4 to c*u + r*u**2 + z + d*u**4 + l*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5512 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-72)\/(-10))\/3*-5. Let z be (-15)\/(-2)*(q\/(-15) - 0). What are the prime factors of ((z + -12)*11)\/((-1)\/1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 960 - 951. What is the greatest common divisor of 963 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 32*k**4 - 2*k**2 + 28*k - 5. Let w(b) = -b**4 + b**2 + 2*b + 1. Let u(c) = 5*w(c) + z(c). What is the second derivative of u(q) wrt q?\nAnswer: 324*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n = -4*b, -3*b + 2*n = -20. Let d(w) = 4*w + 0 - 1 + 4*w + b. What is d(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1431 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 10) to base 4\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/65 or 1?\nAnswer: -6\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 7}. What is prob of picking 2 v and 1 n?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65921520 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 712*i - 12. Let p(d) = -2138*d + 34. What is 6*p(k) + 17*w(k)?\nAnswer: -724*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2210 is divided by 2196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 5. Suppose -4*r = -4*l + 48, -l = r - 3*l + 17. Is 556 - v\/(3 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 49 = 3*i, 48*i + 25 = 50*i + s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9874944 + 2037224 = 2*k - 49*k. What is k rounded to the nearest one thousand?\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -14*m + 272. Let o be w(14). Calculate the highest common factor of 513 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*l - 18, 0*l - 17 = -5*l + 3*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159960 divided by 5160?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12631952*l**4 - 4*l**3 - 773866*l + 42?\nAnswer: 151583424*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*(-24)\/20)\/((-21)\/35). Suppose -4*n = x*i - 1592, -4*i - 86*n + 84*n + 3196 = 0. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.8. Let m = -0.47 + 0.431. Let y = m - -7.039. What is the second smallest value in 0.3, k, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*f + 148, -7*m = 5*f - 12*m - 155. Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760*v + 1340*v + 164790 = 269*v for v.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 1144280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*t + 67, 2705*t - 2684*t = -0*k - 2*k + 25 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**2 - 888*a + 723*a**3 - 774*a + 732*a**3 + 731*a**3 - 2160*a**3 wrt a.\nAnswer: 156*a + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -23*x**4\/12 - 97*x**3\/6 + 2*x**2 + 1. What is the derivative of s(i) wrt i?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 960\/(-465) - -2 - 15\/(-7750)*-8.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 969 and 2754?\nAnswer: 52326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrggrrgrgrrsrrrrrsg. What is prob of picking 1 s and 2 r?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15433925?\nAnswer: 5, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-52)\/26)\/(16\/(-3)))\/(3\/(-10))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - 10\/(-25). Let h = -314\/3 - -105. Which is bigger: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*t + 163 = -167*t - 99*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*o - 4734 = -272*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*d**3 + 9\/5*d**2 + 0 + 0*d.\nAnswer: -3*d**2*(d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6697474 + 9?\nAnswer: 6697483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1568896 divided by 112064\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/((a*a**(-1)*a*a*a)\/a*a)))\/a)**(-9\/10)\/(a**(-1\/4)\/a)**(4\/5) assuming a is positive.\nAnswer: a**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = -63*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43791866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -2 - 132\/(-30)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-10)*(-170)\/51. Suppose -4*n = -5*y - 2, 0 = -h*y - 4*n - 9 + 25. Suppose -r - 4 = -y*r. Solve 2*c = 4*c - r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g*g**(-12)))*g)\/((g**(-4\/11)\/g)\/g))\/((g\/g**4)\/g**(2\/3)))**(-4\/11) assuming g is positive.\nAnswer: g**(392\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16844 and 35\/212.\nAnswer: 892732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*r + 8*r + 62, -25 = 2*r + m. Suppose -2*p = -5*g + 72, 3*g + 5*p + 2 = 39. Let o = r + g. Solve 3*w - o*j - 20 = 0, -w - j - 8 = 2*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464707.\nAnswer: 443, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - -100. Suppose 5*l - 3 = h*n, -5*l + 2 - 3 = -4*n. Let g(t) = -t**2 + 2*t - 2. Let m(j) = -2*j**2 + 2*j - 2. Calculate n*m(s) - 5*g(s).\nAnswer: -3*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/9 + 148*g\/9 - 1580\/9 = 0.\nAnswer: -158, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 + 1194*y - 23769 = 0. What is y?\nAnswer: -417, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5*y - 10)*(4*y + 7*y - 7*y).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f - 7. Let q = 2072 + -2077. Determine k(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-30) - 224\/(-120))\/(36\/(-54)). What is the biggest value in 0.036, -5, u?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146511 divided by -503.\nAnswer: 146511\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, l: 2, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-5)\/f)\/f)\/(f*f**(-1\/5)*f*f)*((f*f**(5\/3))\/f)**(-37) assuming f is positive.\nAnswer: f**(-1057\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4\/5, 7, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307991 + -167691. Round q to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1785)\/14)\/(-17)*(-28)\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9813 is divided by 6833.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1335 - 1162. Let a(n) = n**2 + 6*n - 5. Calculate the remainder when l is divided by a(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 84*x**3 + 19*x**2 - 91*x - 7. What are the prime factors of j(4)?\nAnswer: 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82118 or 4068?\nAnswer: 82118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(1\/3))*h)\/(h*h**(2\/7)))\/(h**5\/h*(h\/(h**(2\/15)\/h))\/h))\/(((h**1\/h)\/h)\/h**(-1\/8))**(1\/8) assuming h is positive.\nAnswer: h**(-12043\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*h = -107*h. Let z be 18\/6 - h - 25\/8. What is the nearest to 1 in z, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2680.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10493, 20994, 31473, 41918, 52317, 62658, 72929?\n\"Answer: -2*l**3 + l**2 + 10512*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 2*l**2 + 46*l + 4. Determine w(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/8077446 and -22\/9.\nAnswer: 8077446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220 + -10351?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyeeeeeeeeeeeye. Give prob of picking 1 e and 3 y.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w**2 - w + 1. Let h(f) = 31*f**3 + 31*f**2 - 31*f + 31. Calculate h(g) - 31*y(g).\nAnswer: 62*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85716 by -6.\nAnswer: -14286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4\/4 - 107*o**3\/4 + 6465*o**2\/4 - 56125*o\/4 + 33250 = 0?\nAnswer: -152, 5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1709848 and 550?\nAnswer: 940416400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Suppose 3*f - 4*s - 6 = -3*s, 4*s = 0. Suppose f*r = 4*r + l - 6, 5*r - 5*l = 30. Let a(n) = -5*n**2 + r*n**2 + 3*n**2. Calculate t(a(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l - 462 + 2*l**2 + 1290 + 1243 + 1659 - 2246*l**3 wrt l.\nAnswer: -6738*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16896 and 1073664.\nAnswer: 11810304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86\/3 + 28. Let m(v) = -v**3 - v**2 + 2*v - 1. Let c(h) = -h**3 + 2*h**2 - h. Let a be c(2). Let b be m(a). Which is bigger: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 23*v + 0*d + 9 = -3*d, 3*d = 89*v - 1857 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2815 + -2675. What is the lowest common multiple of p and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 + -105. Let u(w) = -n*w - 156*w**2 - 6*w - w**3 + 146*w**2. Calculate the remainder when 89 is divided by u(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 1. Let u = -4 - d. Let f = -1.8 - -1.5. Which is the second smallest value? (a) f (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 25*d - 20*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 19*w - 276983 = 262240. Does 138 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*26\/520*90\/4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2)*(-4)\/(-12)*-13533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.04 (c) -2\/7 (d) 0.2 (e) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + n**2 + 6*n - 8. Let j(y) = -6*y**3 - 2*y**2 - 11*y + 15. Determine -11*a(l) - 6*j(l).\nAnswer: 3*l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.276650352 to 3 decimal places.\nAnswer: 0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -219, -331, -443, -555?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + -1*sqrt(228)*-1 + sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228)))\/sqrt(12).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 273 - 273.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45\/133 in 1, 1.6, 0.0609?\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*p**2 + 749*p**2 - 387*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 12:51 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184220456\/8387 - -21965. Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-357)\/(-21) - 13 - 3338\/(-2). Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**2 - c. Suppose 18*f = 20*f - 4*w + 14, 2*f = -3*w + 14. Calculate a(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317601816?\nAnswer: 2, 3, 7, 1890487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 242 - 161. Let d be (1 - -39) + (959 - 990). What is the greatest common factor of d and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/6 (b) -6.6 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-20)*f*f*f**17)**(15\/7))**(-5) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027 is divided by 235.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a, 4*n - 4*a - a - 133 = 0. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 + 409*f**2 - 6*f**6 + 276*f**2 - 531*f**2 - 8*f**5 wrt f.\nAnswer: -600*f**3 - 480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - 2*p + 1. Let o(v) be the first derivative of 5*v**2\/2 - 19*v - 25. Let w be o(4). What is f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -628861 or -628865?\nAnswer: -628861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 520\/(-9870) + (-4)\/210*-5\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*1 - 1768\/(-6). Let p = 103 + -81. Let w = 64 - p. What is the highest common factor of w and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - (5 + 0) - 7. Calculate the common denominator of 7\/12 and (f\/(-10))\/((-12)\/690).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223862415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 + 1691*r + 19230. Calculate j(-11).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*c + 12*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/219 - -128\/1971. Let l = -43 + 17. Let f = -25 - l. Which is the second biggest value? (a) n (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162521 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -232683 divided by -11\nAnswer: 21153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.329 to two decimal places.\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 4, -72, -170, -290?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*h - 378002, -37*h + 35*h = -14*l + 2645744. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 + 105 + 108 + 38239*f + 28388*f.\nAnswer: 66627*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5103 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 59*i**2\/2 - 2*i + 1867. Let w(r) = 33*r - 2. Give z(w(s)).\nAnswer: 1947*s - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 10*v**4 - 27*v**4 - 36*v**4 + (v**3 - 2*v**3 - v**3)*(0 + 0 + v).\nAnswer: -55*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1*3\/21)\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, g: 4, j: 6, d: 3, q: 5}. What is prob of sequence ndg?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6133348 to the power of 1\/2, to the nearest integer?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87511 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from hhhfnfnanv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(272) - -3*(sqrt(272) - -1*sqrt(272)))**2)*2.\nAnswer: 26648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 253. Let i(s) = -338340*s + 20. Let b be i(g). Round b to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**3 + 2*l + 1. Let s be j(-1). Let h be (1 + 0)\/((-5)\/s). What is the second derivative of -5*a**5 - h*a + 26*a - 3*a**5 + 0*a**5 wrt a?\nAnswer: -160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6003 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 s, and 1 k when four letters picked without replacement from {d: 3, s: 3, k: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + 1.74.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1 + 4*p + 0 - 1 - 2. What is the units digit of a(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/6 - m. Let x(n) = 139696 - 139696 + 12*n. Give x(a(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 40. Let g(c) = c**3 + 3*c**2 - 3*c - 4. Let o be g(p). Let z(y) = -y + 17. Let h be z(o). Solve -2*t = 4*f + 3*t + 27, 3*f + t = -h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 11 = 15*t - 13*t, -20*v - 2 = -30*v + 3*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 4) in base 3?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 120595?\nAnswer: 88\/120595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + n - 3 = -2*n, -20 = -4*g - 4*n. Suppose -y - 5 = -3*u, g*y - u + 7 = 4*u. Solve y*k - 2 = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*24*(-5)\/(-6 + 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113848028 to six dps.\nAnswer: 0.011385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -1) + 5 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -40926*a**3 - 39319*a**3 + 71396*a**3 + (a**2 + 0*a**2 + 0*a**2)*(-2 + 2 - 2*a) in the form n*a + j + v*a**3 + t*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10733782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((28*110\/1232)\/((-14)\/(-4))).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7504\/1608*(-9)\/(-273)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 41020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43768345?\nAnswer: 5, 8753669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*j**2 + 17*j**2 + 14*j**2 + 12*j**2 + 1506*j**3 + 16*j**2 in the form a*j**3 + y + q*j**2 + p*j and give a.\nAnswer: 1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose 4*c + 32 = 3*d, l = 4*d - 0*d + 2*c - 6. Suppose 5*y - 16 = -z, -z - d + 12 = 3*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/19, -32, 3, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/2 - (-3)\/(-6). Let r be (9 + -6)*28\/g. Let k = 27 + r. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 155*k**2 - 3512*k - 140309. Determine z(179).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 6*x + 0 + 1\/24*x**3 - 1\/16*x**4 + 1\/40*x**5 + 0*x**2. Let z(q) = 0. What is q?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908 - -259703?\nAnswer: 264611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 3*h - 123293 + 123220, 3*r = -3*h - 69 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**3\/18 + i\/6 + 5. Find u such that g(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 24*k**2 - 11*k + 1. Let h(r) = 26*r**2 - 8*r + 1. What is -5*h(d) + 4*q(d)?\nAnswer: -34*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1665*o + 46029 + 78951 = -33195 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -213, -479, -843, -1299, -1841, -2463?\nAnswer: -3159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, l: 2}. What is prob of picking 2 q?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, e: 3, j: 1, t: 12}. What is prob of sequence ok?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-16 - (-17 + 6)) - (1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/60 - (1075\/6)\/5. Let k be 1084\/(-18) - 8\/q. Let d = 78 + k. What is the highest common factor of 162 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 3, -3, -11, -21, -33?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f - 5*f - f**2 + 15*f - 2. Let a(k) = 2*k**2 - 4*k - 1. Let s be a(3). Give h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 406 + -405. Let i = -0.28 - 0.02. Which is the biggest value? (a) m (b) i (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let b = -169 - -170. Let f(m) = 39*m - b + 2 - 44*m. Calculate f(v(z)).\nAnswer: -5*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33, 7, 0, -975.\nAnswer: -975, -3, 0, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*s + 260 - 260)*(-5 + 5 + 3*s)*(5*s - 3*s - 4 + 0*s)*(2*s - 2*s - 2*s) as r*s**2 + m + o*s + u*s**3 + p*s**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c**2 + 16 - 16 + 65*c**2 - 7*c**2.\nAnswer: 133*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1590*p - 3676*p - 7937*p as j*p + x and give j.\nAnswer: -13203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32968)\/3640 + (-663)\/(-65).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91427.\nAnswer: 7, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h - 15999*h**2 - 2057*h**2 - 23*h.\nAnswer: -18056*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 38*h + 25*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17215560 divided by -2610?\nAnswer: 6596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from gggbbbbbggjzgggggzzg.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/((-4)\/60). Suppose 2*t + 3*t + 4*r = -j, 2*t - 3*r = 15. Suppose t = 5*y - 4*g - 360, g = -y - 0*g + 81. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**3 + 1561*x**2*z**3 + 4948*z**3 wrt x?\nAnswer: 6*x**2 + 3122*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0 - 4*i + 0*i**3 - i**2 + 1\/12*i**4. Let b(y) = -63*y**2. What is f(b(z))?\nAnswer: -126*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 229318831 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 1 a when three letters picked without replacement from arfjyvr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203b937 (base 12) to base 13.\nAnswer: 133ca77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 964181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q - 3. Let j be 2\/q + (-48)\/20. Which is the closest to j? (a) 2 (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*u**2 + 2 + 0 - 2*u**3 to the form w + q*u + a*u**2 + j*u**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8168493 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*b. Solve b = 5*q + 3 + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfkkbbjbkrkkm. What is prob of sequence jm?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 + -343 + -10 + -60?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Suppose 15 = c*y - 45. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12131 - 4?\nAnswer: 12123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -570869000 to the nearest 1000000.\nAnswer: -571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3\/6 + 34*l - 28. Let q(t) be the first derivative of b(t). Let g(s) = -4*s. Determine g(q(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minus 133483?\nAnswer: -133444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 3*w**2\/2 + 11*w\/4 + 3\/2.\nAnswer: (w + 1)*(w + 2)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -28.3872616.\nAnswer: -29.3872616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70349856 to the power of 1\/3, to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 3200, -2\/9, -17, 0.08, 4 in decreasing order.\nAnswer: 3200, 4, 3\/8, 0.08, -2\/9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**5 + 430*j**3 - 3*j**2 + 400*j - 5 wrt j.\nAnswer: -360*j**2 + 2580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -607*i + 386975 + 368740. Does 1242 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-174)\/696 - 17\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3021 rounded to one decimal place?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33013110 + -1?\nAnswer: -33013111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 5. Let b be k(-8). Let j = -3 - b. Is 5 a factor of 1*(j + 6 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*z + 5*z + 3, 12 = -3*z. Solve f + 4 + 10 = -5*s, -i*s - 2*f - 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673))\/(sqrt(11) + 1*sqrt(176)).\nAnswer: -18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004779 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5014179 nanoseconds?\nAnswer: 0.00000000000013928275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 + 599 = 25*h, 3*h - 10 - 58 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f - 677 + 677.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 24. Let d be l(-11). Let n be (795\/(-30))\/((-1)\/d). Suppose 5*u - 3*q - 214 = 0, u - n = -3*q + 7*q. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21846*-4951.\nAnswer: 108159546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/(m\/(m*m\/(m*m**(2\/17)))) assuming m is positive.\nAnswer: m**(100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -1.447. Let x = -0.0479 + g. What is x rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.423 (b) -0.06 (c) -5 (d) -10.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 4. Let s be l(5). Let u = s + -2\/3. Let n = -294.9 + 295. What is the closest to -0.2 in -3, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17191122*c**6 - 1426*c**2 - 510?\nAnswer: -2062934640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 873623630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x - 3*n = -27508, -2*n = 0. Let f(y) = 13778*y**2 + 2*y + 1. Let g be f(-1). Let j = g - x. Round j to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.9*0.03.\nAnswer: -0.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*h - 447*h + 864*h.\nAnswer: -152*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 0. Let r = 3 - a. Let w(i) = -4*i - 2*i + 6 + i**2 - 2. Give w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 14*m**2 - 9506948*m\/3 - 301808 = 0.\nAnswer: -2\/21, 226356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-1\/2) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*v**2 + 47*v**2 + 19*v**2)*(-203 - 755 + 502) to the form l + c*v + g*v**2 and give g.\nAnswer: -42408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/56)\/(2\/(112\/(-12))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzgoojgzjggogogjjg. Give prob of picking 1 o, 1 g, and 1 j.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -85. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132))\/sqrt(12) + sqrt(11) + sqrt(44)\/sqrt(4) + 5 + ((sqrt(99) - (sqrt(99) - (sqrt(99)*1 + sqrt(99)))*-3 - sqrt(99))\/(sqrt(900)*1))**2.\nAnswer: sqrt(11) + 599\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:50 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 110225478 and -0.3.\nAnswer: 110225477.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Suppose k + 4 = t, -t + 7 - 3 = 2*k. Suppose 3*u - 11 = -l, l + t*u + 3 = 18. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + g + 609 = 0, 2*l - 208 - 203 = -g. Is 51 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9602, 9600, 9590, 9566, 9522, 9452, 9350, 9210?\nAnswer: 9026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/86961 and 145\/24846.\nAnswer: 173922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -8*l**2 - 9*l + 233. Let d(o) = 5*o**2 + 5*o - 116. Calculate 5*d(k) + 3*y(k).\nAnswer: k**2 - 2*k + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-11) + (-1586)\/(-1716))*(-8)\/(-10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2500, 2497, 2492, 2485, 2476, 2465, 2452?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 8*i + 13. Determine r(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*u + 613*u = 7520. Let m = 54 - -46. Calculate the least common multiple of u and m.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*o - 22 = 0, 5*o = -3*i + 5*i - 26 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.3, -5, 28, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0)*2\/(-4). Let d = -4 - y. Let v be ((-6)\/(-2))\/((-6)\/d). Solve v*q - 10 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(68\/102)\/(56\/(-36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y**2 - 148*y + 568. Calculate d(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3442561 by -1.\nAnswer: -3442561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -615, -1203, -2115, -3459?\nAnswer: -5343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j - 24. Is (-220)\/j*(4 - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -23, -14, -1, 16, 37?\n\"Answer: 2*g**2 - g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 6*f - 36. Suppose 81*g - 84*g = f. Suppose 3*v - 4 = 7*v. Which is the nearest to v? (a) 0.2 (b) g (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {r: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1158.32455 - 0.22455. Round b to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 - 8*z. Let u be 128\/(-8) - 8 - -21. Let c(r) = 11*r**2 + 23*r - 1. What is u*c(y) - 8*h(y)?\nAnswer: -y**2 - 5*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 770 - (-476)\/(-68). What is the greatest common factor of z and 13528?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/10*8\/10. Let l be (-7 - (-2 + -2)) + c. What are the prime factors of (1\/l)\/(26\/780)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - o**2 + 4)*(5 - 2*o + o + 0*o).\nAnswer: o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*g + 15. What is the units digit of 51\/g - (-2)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 2*i - 7030, 16*c - 4*i = 12*c + 2340. What are the prime factors of c?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.378984414 to four dps.\nAnswer: 2.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2 = -4*t. Let f(h) = 3 + 3*h + t + 1 + 3*h**2. Is f(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5687740 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/(1\/15). Suppose -8 - 12 = -b*u. Let y(h) be the first derivative of -h**4\/4 + 4*h**3\/3 - h**2 + 4*h - 17215. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 58*g + 4350. Let i be y(-75). Solve 3*m + 3*h + 1 = -8, m + 2*h + 5 = i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19271 + -19263. Let k = -3247\/11 + 295. What is the fourth smallest value in 2\/21, k, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1150 divide 7579650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.184 - 0.384. Let h = 3 + -5. Is t bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8549382641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -11*w + 288. Let g = w + -14. Solve -v + g*d = 2*v + 6, 0 = -2*v - 4*d + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-54)\/(1 - 7) - (3 + 0). Calculate the lowest common multiple of 63 and (-40)\/(-90)*(39\/w - 2).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v - 1. Let u(m) = -8*m + 4*m + 13*m + 5*m + 3. What is 8*j(y) + 3*u(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14231 - 12211?\nAnswer: -31442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14028642 and 1476?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 30*f + 126. Let m(n) = -n**2 + 10*n - 41. Let h(b) = 7*m(b) + 2*x(b). Let k be h(-13). Solve q - 5*q = -k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3295?\nAnswer: 23065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 754977823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:42 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.125 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 395205872247+-0.22\nAnswer: 395205872246.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:38 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 52 - 204. Suppose -3*f + 39 = 5*r, -y + 1 = -5*r - 4*f. Put 1\/4, -3, r in descending order.\nAnswer: r, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 3*q - 2. Let d(x) = 404*x**2 + 6*x - 4. Determine 3*d(n) - 6*o(n).\nAnswer: 1218*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -499109 or -499113?\nAnswer: -499113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.111+23\nAnswer: 22.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5299 + 775*a - 268*a - 3*a**4 - 5728 + 2*a**4 with respect to a.\nAnswer: -4*a**3 + 507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r + 4*i + 22, 5*r - 3*i = -56. Let h(j) = -j**2 - 13*j - 16. Is 7 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 292692401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -46694 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 328.9613 and -17.\nAnswer: -5592.3421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.1152 litres?\nAnswer: 8115.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Suppose 0 = -4*r - 0*r + 5*g - 17, 2*g - 8 = r. Let k(q) be the first derivative of -19 + 1 + 3*q**2 - r. What is n(k(d))?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Solve -18 - t = -5*k - 4*y, 3*y - 16 = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*l**4 - 2*l**4 + 0*l**4)*(8 - 3 + 0) to the form s*l**4 + g*l**3 + t*l**2 + n + w*l and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(396) + sqrt(396) + sqrt(396)*-1)**2 + (1 + sqrt(396) + -1 - sqrt(396)) - -6*(1*sqrt(396) + -2 + (1*sqrt(396) + 4 + sqrt(396))**2)) + 5.\nAnswer: 612*sqrt(11) + 7613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/(t\/(t*t**(3\/8))) assuming t is positive.\nAnswer: t**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/15 + 18*n**2\/5 - 6*n\/5 - 162\/5 = 0. Calculate n.\nAnswer: -27, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14862, -29724, -44586?\n\"Answer: -14862*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21493075817 plus 37320?\nAnswer: 21493113137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7184133 divided by -33?\nAnswer: 217701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -35*f. Let i be h(-4). Suppose 2*k - 5*n = i, -5*k + n - 15 = -319. What is the greatest common divisor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 11*r**2 - 3*r - 1. Let h(f) = -6*f**3 - 23*f**2 - 7*f - 2. Give 6*h(d) - 13*k(d).\nAnswer: 3*d**3 + 5*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3798 - -3803. Solve h + 0*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 2*b, -t - 17 = -4*b + 3. Let z = t - -8. Suppose 4*o - 48 = -z*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-120)\/4)\/3)\/(-8*10\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32007103 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*y = -606*y - 132. Suppose -69*u + 5546 = -y*u. Calculate the remainder when u is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1869868*r**3 - 5*r**2 - 167542*r - 2 wrt r?\nAnswer: -11219208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0820476 - 20975451.7.\nAnswer: -20975451.6179524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c - 77 - 80 + 4*c - c**2 + 159. Determine k(-23).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8.4. Let t = z + 5.4. Let k = t - 5. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -336*u. Let c be t(-1). Let z = 170 - c. Let f = -116 - z. What is the highest common divisor of f and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -160?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:21 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 2, -0.8, 223, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 13) to base 16.\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28047.972 months in decades?\nAnswer: 233.7331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4095 = 10*l + 3*p + 4069, -4*p = 2*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1472712 + -0.09\nAnswer: 1472711.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*q + 5*c + 18, 5*q = -4*c + 30. Let l be ((4 - 0) + -27)*-1. Let k = l - 15. Calculate the least common multiple of k and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945344.6 millennia in months?\nAnswer: 11344135200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.266. Let n = l + 0.008. What is n rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8356, -6811, -5266, -3721, -2176, -631?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/10 + (-90)\/150 - -170. Are 172 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2358 = s + 4*y, -2*s + 32*y = 36*y - 4696. What is the greatest common factor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20839682 and 5?\nAnswer: 20839687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/6*(-6)\/28. Sort b, 4, -1 in ascending order.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 15, 3*b - 5*x + 7*x - 386 = 0. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56243.\nAnswer: 11, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -5684\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302653 is divided by 531.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/5 + 16*s**4\/5 + 87*s**3\/5 + 188*s**2\/5 + 28*s = 0 for s.\nAnswer: -7, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16*27245.34\nAnswer: 435925.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90217, -180444, -270685, -360940, -451209, -541492, -631789?\nAnswer: -722100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 74. Let w be -6 + (8 - (-3 + 7)). What is the tens digit of 194 + w\/q*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let z(v) = -q + v**2 - 3*v**2 + v**2 + 5*v. Let o be 1 + 4 + 0\/(-5) + 0. Determine z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - -6?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1314245 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.9 - -4.9. Let p = l + 26.0000017. What is p rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -20562712\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25296 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q + 555 = 59*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -515*v**2 + 3*v + 18 wrt v?\nAnswer: -1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 9:29 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 9) + 0 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -929 - -930. Let f be 1\/(-4) - 39\/324. Let d = f + 191\/297. Is d < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 95*t + 4590. Let n be q(-48). Solve 26*r = 36*r - n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4\/3 - 790*q**3\/3 + 26944*q**2\/3 + 75544*q = 0.\nAnswer: -426, -7, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/60 and -181\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 623950747 and 19285?\nAnswer: 3857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -598 - -598.4. Let o = -13 - -11. Let i be ((-1)\/(-4))\/(1\/(-2)). What is the fourth biggest value in o, 1, p, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1620.4 + 1620.4011857. Round y to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j**10)\/j)*j)\/(j\/(j*j*j*j**19)) assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 14. Give z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267759 and 109087.\nAnswer: 2945349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.053 + -0.253. Let i = 14 - 7. Let q = -7.3 + i. Which is the closest to q? (a) d (b) 2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + -11 + -5 + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - -57b78?\nAnswer: 57b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1382586? (a) 0 (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 57845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 19*b + 2 - 234, 0 = 5*o - b + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 490*h - 13376. Give k(29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*v + 47*v**2 + 7*v**2 + 171*v + 52*v**2 wrt v?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 + 23*a**3 - 16*a**2 + 6*a**3 + 31*a**3 + 49*a**2.\nAnswer: 56*a**3 + 33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2508 - 2507. Suppose -20 = -0*r + 3*r + 5*a, 0 = -4*a - 16. Suppose l - 6*l + 20 = r. Put -2, d, 0, l in descending order.\nAnswer: l, d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241103.\nAnswer: 461, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 5*o + 22 = n. Let q be (-6)\/(-8) - o\/16. Which is the nearest to q? (a) -3 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4032?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0126*-0.5\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzagd. Give prob of sequence az.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/5 - 17259*s**2\/5 + 31895793*s\/5 - 18560248929\/5.\nAnswer: 3*(s - 2283)**2*(s - 1187)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14308584, -14308590, -14308596?\nAnswer: -14308602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*d**2*l**2 - 3*d**2 - 5813*d*l - 1306*l**2 - 46*l - 5 wrt d.\nAnswer: 136*d*l**2 - 6*d - 5813*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/2))**47*o**(3\/34)*o**1*o*o assuming o is positive.\nAnswer: o**(-1146\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12634 (base 7) in base 6?\nAnswer: -23434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344657 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvvgzggt. Give prob of sequence vg.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 769188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -459 (base 10) to base 12.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 296 - 2*k + 161.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 20*w = -245. Suppose 4*j = -3*g + 58, 4 = 3*g - 3*j - 89. What is the smallest common multiple of g and w\/(-28) + (-74)\/(-8)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:11 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmwwynrmpywp. Give prob of picking 2 m and 2 w.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2715, 5410, 8087, 10740, 13363?\nAnswer: 15950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -83539 bigger than -83537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4058 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -7, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g + 4. Let c be p(6). Let w = -452305 + 452315. What is the highest common factor of c and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 6*a + 5. Let x be l(6). Let q be (0 - (-18)\/3)*2\/(-4). Let i = q + x. Solve -o = i*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -25*p**2 - 48*p + 478. Let r be f(9). Let s = r - -1981. Suppose 27\/5*v**s - 6*v + 8\/5 - v**3 = 0. Calculate v.\nAnswer: 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(175) - (sqrt(175) + 3 + sqrt(175)))*-5 + (sqrt(175) + 4 + sqrt(175) - sqrt(175)) + -3)*2 + -1)**2.\nAnswer: 3120*sqrt(7) + 25876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -149 from -53651714.\nAnswer: -53651565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7055344 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 7. Let c be v(7). Let r be 24\/(-14)*c\/9. Solve -2 = -3*x - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -677, -1243, -1, 4 in ascending order.\nAnswer: -1243, -677, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 9873203 - 1998752 = -7001167. Let f = 1555638 + -1002404. Let q = f + b. What is q rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050181421 rounded to 5 dps?\nAnswer: 0.05018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Suppose 0 = 2*w - 2*j - 64, -v*j - 10 = -w + 26. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167239 divided by -4\nAnswer: 167239\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/1 - 1)*-78. Suppose 5*u - 285 = 12*j - 17*j, -4*j = -3*u - 200. Let k = s - j. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -21. Let m be 0\/2 - (-6)\/(-9)*r. Suppose 4*f - m*k - 384 = 0, -3*k + 8 = 20. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 24. Solve -2*s - 1 = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o - 6. What is the units digit of b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13632?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91784*f**4 + 33*f**2 + 551*f?\nAnswer: -2202816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1 - 1)*(-4 - 3 - 4).\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 4602 = 3954. What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14 or 1\/142?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**3\/19 + 22*c**2\/19 + 26*c\/19 + 10\/19.\nAnswer: 2*(c + 1)**2*(3*c + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(5 - 7))\/((-1)\/(-79)). Suppose 0 = -2*a - 4*s + 205 + h, 2*a + 3*s = 279. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 569? (a) -12 (b) -3 (c) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-78)\/9*1. Let k be b\/5 - 3\/15. Suppose -4*i + 71 = k*d, -2*d = 2*d - i - 40. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 215 = -a - 1021, -5*x = 3*a + 3092. Let j = x + 876. Suppose -b + 95 = -5*z, -j = -3*b - 3*z - 29. What is b rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*z = -43, -5*c - 4*z = -0*z - 215. Suppose -l + 27 + 16 = 0. Let y = c - l. Which is bigger: -1\/18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjjwvjjjjvjjjsjjww. Give prob of sequence jv.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -2 - (4 - 0). Is (-1)\/(103\/(-34) - m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 47*k**3 + 3*k**2 + 15*k - 51. Let u(t) = -16*t**3 - t**2 - 5*t + 17. Let a(g) = -6*h(g) - 17*u(g). Is a(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/586 and 5\/47008334?\nAnswer: 47008334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3*r**4\/2 + 21*r**3 - 33*r**2\/2 - 45. Factor b(y).\nAnswer: 3*y*(y + 11)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45705*g**2 + 63530*g**2 + 117190*g**2.\nAnswer: 135015*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 518*w = -97 + 16929 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 2*t - 8. Let j be r(-2). Find the common denominator of 1 + (31\/j)\/((-1)\/(-6)) and 42\/(-11) + -1*1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298.587 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 68. Let y(i) = -i**2 + 11*i - 23. Let j be y(t). Suppose j*x + 4 + 16 = f, -4*x = -f + 17. Solve 3 = -f*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (45\/(-20))\/((-2)\/(-8)). Let b = 13 + i. Calculate the remainder when 10 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29796 and 4330734.\nAnswer: 112599084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137.5 - -124. Let b = 14.5 + k. What is the smallest value in 4, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724*b**4*o - 2*b**2*o**2 + b*o**2 - 204*b - 2802*o wrt b?\nAnswer: -8688*b**2*o - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + 1562?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1465587365 + -1465587607.9999234. Let k = 243 + f. What is k rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.182 - 1.082. What is the nearest to b in -3, -1, 0.2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-16)\/(-14))\/((-9)\/(-18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81.4 - -82. Which is the closest to 1\/2? (a) -1 (b) 7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.674 - -1.326. Sort r, 0.75, 1.\nAnswer: 0.75, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02249 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 5. Let r(t) = 5*t**3 - 9. Calculate -5*g(i) - 3*r(i).\nAnswer: -5*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*j + 259*j - 360 = -294*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 18 = -5*o, 5*f - 11*o = -16*o - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -20*m + 100. Let s be -3 - (3 + (-16 - -6)). Suppose 591 = -g + 4*g. Calculate the remainder when g is divided by i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 0.24.\nAnswer: 0.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 176 = -6*s - 13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 14\/11*i - 2\/11*i**4 + 10\/11*i**3 + 26\/11*i**2 + 0 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 872 - 378. Let j = s - 494. Which is the biggest value? (a) 26\/9 (b) j (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + j)*(6*j**3 + 36*j**3 + 10*j**3 + (2 - 2 + 2*j)*(0*j**2 - j**2 + 3*j**2) - 3*j + j**3 + 3*j + 2*j**3 - j**3 + 0*j**3).\nAnswer: 174*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9719 + -9719. Solve l = 8*c + 118 - 118 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 5) to base 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 22429.\nAnswer: -38\/22429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + -3*(2 + 2*sqrt(243)))**2.\nAnswer: 432*sqrt(3) + 8759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33, 36, 39, 42?\n\"Answer: 3*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/40)\/(((-80)\/10)\/400).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1) + -1 - 485\/(-1). Let p be k\/2*1\/(4\/8). Suppose f = -4*f - z - p, 82 = -f + 5*z. Which is greater: f or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45 or -103?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 4*k - 10. Let u be r(6). Is ((-17654)\/(-6) + 7\/(-21))\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w - 2. Let i be -6*(-2)\/18 - (-8)\/(-12). Calculate z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b3 (base 13) to base 3\nAnswer: -12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 + 1219127.\nAnswer: 1219187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 149981916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 30 = -18*p. What is l in p*l + 3 + 1\/3*l**2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*t**5 + 31664*t**4 + 501104*t**3 + 960184*t**2 + 541852*t + 51480 = 0. Calculate t.\nAnswer: -65, -18, -1, -11\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.062 + -0.135. Round j to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/10 - 61*q\/10 + 212\/5 = 0. Calculate q.\nAnswer: 8, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 36 in decreasing order.\nAnswer: 36, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1376 = 3*i. Let s = i + 3792\/11. Find the common denominator of s and (2 - 1) + (-76)\/14.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + ((-5697818)\/(-2107))\/(-53).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9139\/11, 2, -3, 6, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + (-1 - (-5 - -2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -2\/13, 1\/3, 2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-4)*(-616)\/105 + -4. What is the closest to -0.1 in -1\/3, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*s + 14. Suppose 0 = -p - s*p + 126. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 806b - -16?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = 0, -4*p + b + 821 = -0*p. Let a = -202 + p. Solve -2*m - 23 = -5*w, -m - a = -0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**(2\/3)*a*a)*a)\/(a**(-1)*a))\/(a**6*(((a\/(a**(4\/7)\/a))\/a*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6 - -11) + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566*s - s**2 + 1031*s - 465*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2 + p + 5*p)*(1 + 2 - 2)*(-2 + 1 + 0)*(2 - 2 - 1).\nAnswer: 10*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466*w**3 + 58056*w**3 + 19*w - 19*w.\nAnswer: 57590*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h. Let k(w) = 18*w**2 + 6*w - 1. Let y(c) = -34*c**2 - 11*c + 2. Let d be ((-16)\/80)\/(1\/55). Let l(b) = d*k(b) - 6*y(b). Determine x(l(m)).\nAnswer: -6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 7, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-10)\/36))\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 348, -2, -11, 86, -3, -10 in descending order.\nAnswer: 348, 86, 1, -2, -3, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3716175766 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + p**2 - 3*p**2 + (1 - 2 + 3)*(3*p**2 - 3*p**2 - 2*p**2) + 98*p**2 - 215*p**2 - 2*p**2.\nAnswer: -122*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 - (-901141 + 2). Let l = s + -5425241\/6. Let r = -3075 - l. What is the common denominator of 59\/2 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minus 0.0119?\nAnswer: 16.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away 104518415404?\nAnswer: -104518415404.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3850 divide 181139173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1531 = 293*y - 1277 - 11974 for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - i**3 - i - 3 + i**2 + 3*i + 4*i**2. Let s be p(3). Suppose -7*z + s = -4*z. What is the remainder when 22 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002232 rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15392\/220 - (-104)\/2860. What is the highest common factor of 1390 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/6 + 4*g**3\/3 + 2*g**2 - 160*g. Let i be 74\/(-14) - 4\/(-14). Give r(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -1716, -2569?\nAnswer: -3422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - 2 - 13*y**2 + 804*y + 4*y**2 + y**2 - 2*y**2 - y**2 + (-y + 0 + 0)*(-y + 2*y + y) - y**2 - 4*y**2 + 6*y**2 as l*y**2 + v*y + t and give v.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 9*n + 20. Let c be a(5). Suppose -2*y + 11 = -5*i, 3*i - 8*i - 5 = c. Solve -y*o + 5 = 2*o - b, 3*b = 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 8. Let s be k(-8). Suppose 2*i + 23 = 5*b + 4*i, s = -b + i - 1. Differentiate -3 + b*p + 0 + p with respect to p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5110 or -0.24?\nAnswer: -5110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 + 5*l - 3. Let f be i(-4). Suppose -39 = -4*w + f. Solve w = -4*c, 2*s - 1 - 13 = 3*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 398967921, 398967920, 398967919, 398967918, 398967917?\n\"Answer: -m + 398967922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15893, -63790, -143647, -255464, -399241, -574978, -782675?\n\"Answer: -15980*i**2 + 43*i + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:35 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -6. Suppose 23*h + 16 = 85. Put h, n, 6, 4 in descending order.\nAnswer: 6, 4, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3927759746.\nAnswer: 2, 157, 12508789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 16, 3*i + 5*u + 18 - 44 = 0. Suppose 0 = -o + 3, i*o - 19 = -10*j + 9*j. Solve -3*f = 3*g + 21, 5*g + 10 = -f - j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/22 + 4\/8 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5108 - 6752777\/1322. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -322742, -322609, -322376, -322037, -321586?\n\"Answer: g**3 + 44*g**2 - 6*g - 322781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*5*(-2 + sqrt(108)).\nAnswer: -180*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -199*h - 1364. Calculate v(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13323 is divided by 2650?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000948971 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzzzlzlzlzzzzzzzzzzz. What is prob of picking 3 z?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 5*p**2 - 5*p - 1. Give s(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**3 - 18*w**3 - 33*w**3 + 21*w**3.\nAnswer: -51*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6597440240 to the nearest one million.\nAnswer: 6597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 82.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, 1 i, and 1 j when four letters picked without replacement from mxgixxxjg?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 - 91 = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -673 in decreasing order.\nAnswer: 4, -2, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**3 - 6*s**3 + 41*s**3 + 7*s**3.\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 64*j**2 - 98*j + 647. Let q be g(7). Calculate the highest common divisor of q and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/27 - (-14)\/(-3). Let d be 6\/m*(-10)\/3. Suppose -d*x - 2*s = -54 + 5, 0 = 2*x - 4*s - 10. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-116)\/14 + (-4)\/(-14). Let n(w) = w**3 + 7*w**2 - 10*w - 5. Let x be n(h). Let b = 16 - x. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epcp when four letters picked without replacement from cpeeeppceeyep?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/((-25)\/20 + 2). What are the prime factors of c\/((12\/(-16))\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -64 - (-60 + 26).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x - 104508*x**3 + 104502*x**3.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-19)\/n**(18\/7))\/(n*n\/n**(-14)*n*n**(2\/51)) assuming n is positive.\nAnswer: n**(-13784\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (30 + -43 + (-27)\/3*-1)\/((-16)\/276)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/63340 and -107\/240.\nAnswer: 760080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 1. Let c = -8 - -10. Let a(u) = -c - 2*u + 3*u - 4*u. Give 3*a(k) + 5*o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, 0.3, -945, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -61, -6257, -0.3?\nAnswer: -6257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 89.\nAnswer: 7\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s. Let h(y) = -299 + 299 - 9*y. Determine p(h(u)).\nAnswer: 63*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -417, -627, -839?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10726403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 - 4*p - 4. Let c(l) = 7*l**2 + 7*l + 7. Determine 3*c(g) + 5*y(g).\nAnswer: g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951 - x**2 + 951.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-90))\/(2580\/(-3483)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**2\/2 - 10*b + 58. Determine p(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5755 times 3\nAnswer: -17265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-6)*-1*(-2)\/63.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:32 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52143\/62 - -841. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, 18, -7, 2\/7, -3 in decreasing order.\nAnswer: 18, 2\/7, -1, -3\/2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighty-seven quarters of a microgram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*q + 1, v + 5*q + 43 = -3*v. Let a(x) = -x**2 - 7*x + 2. Let i be a(v). Suppose -i*d + 12 = 4. What is the lowest common multiple of d and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 5, -208 in decreasing order.\nAnswer: 5, -160, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114544, 114726, 114908, 115090, 115272, 115454?\n\"Answer: 182*z + 114362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24 + (-503 + 23)\/20. Sort 69, s, -9.\nAnswer: -9, s, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, 5, 3, 164, 189 in ascending order.\nAnswer: -3, 3, 5, 23, 164, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:27 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2 + 2)*(-2 - n**2 + 2) - 23*n**2 + 23*n**2 + 26*n**3 + (5*n - 2*n - n)*(5 - 5 - 4*n**2) + 2*n**3 + 0*n**3 + 0*n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3574 (base 11) to base 15.\nAnswer: -15be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from ixifinxi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5448 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 1. Let a(y) = 16*y**2 + 20. Calculate 6*a(i) - 120*o(i).\nAnswer: 216*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1542 and 67334.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2973, -3132, -3403, -3786, -4281, -4888?\n\"Answer: -56*s**2 + 9*s - 2926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -204.\nAnswer: -25\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1634)\/(-228) - (-10)\/12. Let q be (g - 11)*(-2 + 2 + -1). Let 0 + 12\/5*a**2 + 12\/5*a**4 - 3\/5*a**5 - 3\/5*a - 18\/5*a**q = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2 = -f, 193*s - 188*s = 12*f - 58 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383595525 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246 (base 7) to base 14.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 16*g - 1. What is the tens digit of z(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(d**4 + 4*d**4 - 3*d**4) + (2*d**2 + 1 - 1)*(-1 + 1 - 2*d**2) + d**4 - 5*d**4 + 2*d**4.\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*p + 30054*h**3 - 93*h**2 + 627*h*p wrt h.\nAnswer: -12*p + 180324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17528987 and 0.4?\nAnswer: 17528987.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4326750.\nAnswer: 2, 3, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/9 - 8*a\/3 + 8.\nAnswer: 2*(a - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1472880)\/(-18))\/17 - 1\/3.\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 9*p + 1. Let y(t) = -8*t**2 - 27*t - 3. Let i(k) = -11*s(k) - 4*y(k). Let x be i(6). Suppose -2 = h - x. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11268 is divided by 9636?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2174871220 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**7\/3 - d**4\/6 - 41*d**2\/2 - d - 9. What is the third derivative of r(s) wrt s?\nAnswer: -840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1689*h - 2216*h - 3477*h in the form j*h + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69223 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 74*i. Let c(q) = 119*q - 1. Let h(w) = 5*c(w) - 8*g(w). What is h(-28)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4389 divided by 4453\nAnswer: 4389\/4453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21357 by -63.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/27)\/(2\/(-12)). Suppose 3*n + 133 = n - 5*d, 0 = -4*n + d - 299. Let v = n - -520\/7. Is w bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -2. Let l be 1\/((-6)\/(-4)) + 11\/((-8976)\/472). Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14153, -28301, -42449, -56597, -70745?\n\"Answer: -14148*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137168.19 months in millennia?\nAnswer: 11.4306825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 * 728.025.\nAnswer: -80082.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 125*p - 22. Let l(f) = 252*f - 50. Give -3*l(w) + 7*o(w).\nAnswer: 119*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.445473 litres to millilitres.\nAnswer: 3445.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 192 - 210. What is the third biggest value in z, -3, -0.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -486, -2, -1\/2, -33, 4, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g - 2. Let m(f) = 5*f - 1. Let w(x) = -9*m(x) + 4*v(x). What is the units digit of w(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -4 (c) 9 (d) -0.1 (e) -626 (f) -320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -114 + 48 - -79 - (11 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5680, -11344, -17008, -22672?\nAnswer: -28336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k - k + 4*h - 302 + 390, -6*k + 63 = -3*h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415\/3*(-14 + 13 + 4).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 12 + 4)*(12*z**3 + 27*z**3 - 62*z**3) + (3*z + 4 - 4)*(0 + 0 - z**2).\nAnswer: 365*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*l*x - b**3*l - 82*b**3*x + 2*b**2*l*x - 4*b*l*x + 2*b*x + 5*l*x wrt b?\nAnswer: -12*l*x - 6*l - 492*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250*a - 264 wrt a?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 33600 = -10*w + 45*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/10*(-1 + 0). Which is the smallest value? (a) 0.3 (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120102100222 (base 3) to base 4.\nAnswer: -1022012231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 24 - 30 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343601279?\nAnswer: 7, 41, 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 3*z - 2. Let l = 12 + -9. Suppose -2 - 4 = -l*v. Calculate m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5790 and 5211?\nAnswer: 52110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-3)*-1)\/((-6)\/(-60)). Find the second derivative of x*w**5 + 7*w**5 - 2*w + 7*w**5 + 0*w wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.089549, 2\/11 in increasing order.\nAnswer: -0.089549, 2\/11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 913*y**2 + 58*y - 478. Let d(v) = 912*v**2 + 68*v - 478. Let w(a) = 6*d(a) - 7*i(a). What is the second derivative of w(x) wrt x?\nAnswer: -1838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. Let z(g) = g**3 - 4*g**2 - 5*g - 1. Suppose -y + 9 = -4*o, -2*y - 5*o + 7 = 2. Let l be z(y). Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*g + 309*g + 24 = 0. Factor 2*c**2 + 3471*c + 30 - 3480*c - 5*c**g.\nAnswer: -3*(c - 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-32)\/(-6) + 60\/(-180)). What is the nearest to -2\/5 in c, -5, -2\/3, 53\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -89. Suppose 0 = -k*h - 2*d + 10, -d - 2*d = -2*h - 15. Sort -19, h, 1 in descending order.\nAnswer: 1, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -1000aa?\nAnswer: -1000a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 425 * 0.2\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-482)\/723)\/((-376)\/219) and 87\/20.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3269*p**3 + 3*p**2 - 5*p**2 + 82989*p**3.\nAnswer: 79720*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -21 + 4 - -8 - (6 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69686 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203579 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0147, -5, -1.27?\nAnswer: -1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/7264 and -91\/182057632.\nAnswer: 182057632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477\/(-9)*(2 + (0 - 319)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 521685 or 521651?\nAnswer: 521685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98701656 and 456.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*s - 10, -8 = -0*s - 3*s - 5*n. Sort s, 2, -4 in descending order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -5*y + 314. Suppose 5593 = 141*m - 8648. Which is bigger: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -47*l**2 + l - 1. Let b be k(1). Let c be 8\/36 - b\/(-9). Let s(q) = -q**3 + 6*q**2 - 5*q - 6. Let u be s(5). Do c and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91.1 + -25811.912.\nAnswer: -25720.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:18 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-107)\/109 + 70\/(-3815). Let o = -603173\/715 - -4218\/5. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 95*a**2 + 19*a. Let z(t) = 19*t**2 + 4*t. Let j(q) = -4*o(q) + 19*z(q). Let p be 4\/5*10\/4. Let u(m) = m**2 + m**p + 40*m - 40*m. Calculate u(j(x)).\nAnswer: 722*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = 3. Let f be ((-19)\/(-3))\/(u\/(-24)). Suppose 0*g + f = 2*g. What is the highest common factor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -7, -3, -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2356.187649 and 20.\nAnswer: -2336.187649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 23 = -2*x + 5*d, -2*x - 3*d - 4 = 0. Solve -l = x - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*z + 269 = -z, 0 = -4*p - 3*z + 226. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/9)\/((-4)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3924*k**3 - 8548 wrt k?\nAnswer: -11772*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-8))\/(2200\/(-2640)) - 162\/(-88)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -226, -1598, -4106, -7750, -12530?\n\"Answer: -568*s**2 + 332*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -11, 4, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.3 (b) -2\/15 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*r = -765, -2*x - 21*r + 23*r + 1500 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 56 = -16*k. Which is the third smallest value? (a) -2\/7 (b) -0.11 (c) k (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60447 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)\/k**(-11\/5) assuming k is positive.\nAnswer: k**(87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -805630 divided by -23018\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069\/11666 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -13. Calculate the least common multiple of a and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 4)*(36576 - 36576 + 96*d)*(2*d**2 - 7*d**2 + 2*d**2 + d**2 - d**2 + 2*d**2 + (3 + 0 - 4)*(0*d**2 + d**2 - 3*d**2) + 0*d**2 + 3*d**2 - d**2).\nAnswer: -1440*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 962*n**2 - 4*n - 12*n + 17*n - 181*n**2 + 2748*n**2 as y + w*n + i*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t\/t**(-7))\/t*t))*t)\/t**14*(t\/((t*t**(-2)*t)\/t))**(-16))**(-47\/3) assuming t is positive.\nAnswer: t**(1739\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q + q + 0*q + 2*q + 5 to the form v + f*q and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.500004829 + 23.5. What is r rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -46.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (58\/(-10) + (-108)\/(-135)). Suppose -4*x - y*s = -1312, 4*x - 4*s - 723 = 589. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 5. Suppose -2*l + 268 = -2*p, 0*l = 5*p + 5*l + 630. Let k = p - -125. Determine r(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26738 (b) -3 (c) 5 (d) 27 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000433547 rounded to seven dps?\nAnswer: 0.0000434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16*q**4 - 8*q**2 - 8*q - 8. Let t(a) = -a**2 - a + 1. Let x(l) = -8*t(l) + z(l). What is the first derivative of x(d) wrt d?\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592810509 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460423.\nAnswer: 53, 109, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0312 - 0.0012. Which is the closest to -0.2? (a) 2\/17 (b) j (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6868*s + 13732. Give x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/135*(-2)\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -119, 0.4, -5.69 in decreasing order.\nAnswer: 0.4, 2\/15, -5.69, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26761.39835 - -26763. Let r = -1.5 + -0.1. Let y = t + r. Round y to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 4*s + 1. Suppose -21 = -5*k + 8*k - 4*w, 4*k - w = -15. Determine x(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 33. Let t be h(-8). Let d = -15 + t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + (20 - (29 + -2)) + -4 - -74?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7546c (base 15) in base 11?\nAnswer: 234751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/38 and (-36)\/12 + 3908\/760 + -2?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 25 (b) -0.2 (c) 3\/2 (d) 37\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 136383, 136342, 136275, 136170, 136015?\n\"Answer: -2*r**3 - r**2 - 24*r + 136410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7\/9)*i*i*i**14)**(-47) assuming i is positive.\nAnswer: i**(-6862\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.264*0.61.\nAnswer: -0.16104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -96310052 divided by 48155026?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -6.24. Let s = 2.352 - -0.648. Put s, -1, h in decreasing order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**6 + 234*v**2.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/95145 and 115\/3387162.\nAnswer: 16935810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 2\/27*f**3 + 10\/9*f + 2\/3*f**2 - 17. What is u in o(u) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let o(z) = 297 - 94 - 100 - 95. Calculate -3*a(n) + o(n).\nAnswer: -3*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 16 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11*-17\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4\/11 - 3998*w**3\/11 - 36198*w**2\/11 - 108810*w\/11 - 108918\/11 = 0. What is w?\nAnswer: -3, 2017\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1418 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000782 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 - i**3 + 9*i**2\/2 - 32*i. Factor r(v).\nAnswer: (v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14)\/(7\/6 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 462 + 139. Which is smaller: 22 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 1. Let r(d) = -7*d**2 + 5*d - 1. Let u(q) = -r(q) + 4*v(q). Calculate the remainder when u(-3) is divided by ((-4)\/10)\/((-2)\/100).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 = -60*g + 9*g. Solve -4*d + g = -4*l + 1, 3*l - d + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a factor of 88906526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -4\/77, -303\/11?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3958961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22700 = -3005*k + 4454*k - 7729 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 47*v + 4865. What is c(-105)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(9\/(-84)*(-8)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 114. Let r = l - 31. Solve v = 4*g - r, 2*g - 4*v = 5*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46f62 (base 16) to base 7\nAnswer: 2320254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 18 = -4*q + 11*h, 3*q = h + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 12*j**2 - 4*j + 44. What is the thousands digit of c(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187332863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -158585 - -507?\nAnswer: -158079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119332 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/(-1056))\/(2\/(-4)). Let l(f) be the second derivative of q*f**4 + 2\/3*f**3 + 4*f**2 + 0 - 5*f. Factor l(i).\nAnswer: (i + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-3)**2 - (sqrt(1872) + -2).\nAnswer: -12*sqrt(13) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 divided by -4?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1253.\nAnswer: -3\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6737.7762 rounded to the nearest 100?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17\/(119\/(-4886)))\/(1 - 0). Let g = o - -687. Which is smaller: g or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 49252487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjhjhjjhjhzj. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -3 in descending order.\nAnswer: 5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1507*n**4 - 9*n + 3 wrt n.\nAnswer: 18084*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318651 + 637322 - 318671 + 75*b.\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 28*l - 24. Let j be i(-13). What is the third smallest value in 3, 1\/7, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*p + 176, 3*m + 74 = 5*m - 5*p. Let l(x) = 105*x**2. Let t be l(1). What is the greatest common factor of m and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173303489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51040513 divided by 51040513\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15026722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010546045.\nAnswer: 5, 17, 11888777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 816313 to the power of 1\/2, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 4*w**2 - 3. Let s be r(-4). Let f(j) = -j**2 + j + 1. Suppose -126*i = -740 - 16. Let v(g) = -3*g**2 + 2*g + 2. Calculate i*f(n) + s*v(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100120 - 102210200?\nAnswer: -101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -38*c**2. Let u(x) be the third derivative of 1\/60*x**5 + 0*x**4 + 0*x - 37*x**2 + 0 + 0*x**3. Determine u(y(t)).\nAnswer: 1444*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**6 - 419*b**5*q - 5*b**2*q + b**2 - 46*b*q - 2*b wrt b?\nAnswer: 1200*b**3 - 25140*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 4. Let m be b(4). Suppose 5*o + 8 = h, 0*o = 3*h - o - 10. What is the third smallest value in -1, h, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 - 1007 = -5*c. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 5) in base 4?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3783 and -5.\nAnswer: 18915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54, -193, -432, -777, -1234, -1809, -2508, -3337?\n\"Answer: -n**3 - 44*n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*10\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/36780207 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30320 in 0.15, 24, 0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146745*q = -3*z + 146743*q - 3, 3*z + q = -6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/282 and 137\/1974?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62.62599 from -1464070.\nAnswer: -1464007.37401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/59)\/((m*m**(-14\/9))\/m)*m**(-14)\/(m\/(m*m**(-1\/3))) assuming m is positive.\nAnswer: m**(-6803\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3943, 1, 4 in increasing order.\nAnswer: 1, 4, 3943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 20 = -0*b. Suppose -g - 3*g - 118 = 5*i, -3*g = i + 28. Calculate the remainder when (i\/4)\/(b\/10) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1\/12 (c) -4\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((2\/2)\/1)\/((-3)\/(-48)). Suppose 0 = -3*q + 3*z + 45, q - z - o = z. Suppose -q = 5*j - 7*j. Solve -2*l = -j*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 12, q: 2, b: 2}. Give prob of picking 1 q, 1 b, and 1 v.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-21) - 18\/27. Suppose -4*f = -8*f, -3*x - 9 = 2*f. Sort -1, x, m.\nAnswer: x, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 72*h**2 - 2*h + 1. Let i(w) = w**3 - 11*w**2 + 2*w - 21. Let l be i(11). Calculate the remainder when j(l) is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38333133 or 38333131?\nAnswer: 38333131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/119, -1\/16, -5.8 in increasing order.\nAnswer: -5.8, -1\/16, 4\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 times -0.4?\nAnswer: -536.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 21*i**3 + 7*i**2 + 38*i - 13. Let c(p) = 2*p**2 + p - 1. Let t(d) = 2*c(d) - g(d). Is t(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(228) - 2*sqrt(228)) + 6*-5*sqrt(228)*-2)\/((sqrt(972)*-2*4 - (sqrt(972) + 2*sqrt(972)*-4))*1).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.245 and -10.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41388353 less than 4336?\nAnswer: 41392689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41607 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 1300.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522 + 188 = -11*h + 42*h - 1078 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(8\/16). Let q = 10 + k. What is the least common multiple of 6 and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6) - 1)*-18 - 3. Suppose 10*v - o*v = -16. Let q = 14 - v. Calculate the highest common divisor of 126 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50231.419 rounded to the nearest 100?\nAnswer: -50200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 - v**2)*(8*v - 2*v - 4*v) + (v**2 + v**2 - 4*v**2)*(0 + v + 0).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -635*d**2 - 1848*d + 23121300?\nAnswer: -1270*d - 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 3*m - 87. Suppose -21*c - 4 = -19*c - 5*d, 0 = -3*c + 2*d - 17. Give y(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 897980099 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 93*k - 516 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -80*f**2 + 201*f + 104. Calculate j(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1400 and 47785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 divided by -2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107264967?\nAnswer: 1107264967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59500 = 8*u - 4*u. Let x = -223438\/15 + u. Let i = x + 1159\/60. What is the common denominator of i and 55\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 86, 16, -44, 0 in decreasing order.\nAnswer: 86, 16, 4, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11578*u + 227*u**4 + 11578*u - 2*u**3 + (-2 + 5 - 2)*(-3*u**4 + 3*u**4 - u**4).\nAnswer: 226*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -250, -680, -1408, -2434, -3758, -5380, -7300?\n\"Answer: -149*q**2 + 17*q - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 15*d**5 - 160*d**4 + 440*d**3 - 390*d**2 + 25*d + 70 = 0.\nAnswer: -1\/3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*f**3 - 191*f**3 + 146*f**3 - 59*f**3.\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2068*b*x - 551*b + 1539050*x wrt b.\nAnswer: 2068*x - 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:22 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 - 1997\/19. Which is the smallest value? (a) -4 (b) x (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Let n(j) = j**2 - j - 10. Let o(m) = 2*m**2 - 2*m - 20. Let g(s) = 5*n(s) - 2*o(s). Let k be g(0). List the prime factors of p(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**3\/6 + 2*u - 37. Let k(g) = -1 + g + 1. Calculate k(r(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 0.07 (c) -5 (d) 109 (e) -2\/15 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 298935 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 134796*p**3 + 396871 wrt p?\nAnswer: 404388*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 2*m + 2*m = -6*m + 2*m + 12, 25*s + 94 - 273 = m for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5542\/2761 - -21\/251. Calculate the common denominator of (-5)\/(-5) + 64\/(-5) and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/10, 116, 2\/5, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 8. Let w = 1870 - 1865. Sort h, w, 1\/3.\nAnswer: 1\/3, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 434 + -280. Let k = 325776.9743 - 325623. Let u = r - k. What is u rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 2*b + 17 + 22.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.4. Let i(q) = -q**2 - 2*q + 12. Let m be i(6). Let g = -32 - m. Which is the nearest to v? (a) -5 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0, -1\/3, -22, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(17\/(-170)) - (-91)\/17.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1423 + 1409. Sort 1, 47, 5, h in ascending order.\nAnswer: h, 1, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01212 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 8, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 49. Which is the biggest value? (a) -0.03 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 94, 322, 710, 1264, 1990, 2894?\n\"Answer: u**3 + 74*u**2 - u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14809 is divided by 1851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.08 (c) 10 (d) 0.5 (e) 63\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-78)*-2*6. Let w = 2\/3 + -1\/6. Let h = -2525.1 + 2525. What is the third smallest value in w, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 465625.203.\nAnswer: -465666.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2475\/(-40))\/(-9)*((-801)\/(-9))\/(-445)\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -20*l**3 - 69*l**2 - 22*l**3 + 77*l**2 + 46*l**3 - 4 - 3*l. Determine f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41080571 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 698*w + 413 - 888*w + 4*w**2 + 331 wrt w.\nAnswer: 8*w - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 8. Let p(n) = 3*n**2 - 7*n. Suppose 5*k = 2*c + 300, 5*k = 3*c + 139 + 166. Let j = k + -55. Let x(a) = 2*a**2 - 6*a. Calculate j*p(r) + q*x(r).\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k - 3*k**2 - 9*k + 6*k**3 + 11 - 7*k. Let j(g) = -7*g**3 + 3*g**2 + 2*g - 11. Let d(b) = -5*j(b) - 6*n(b). Is d(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 24 = 0. Let m be (-3)\/5 + 82*a\/15. Let p = m - 63. Solve 15 = -5*o, -6*o = v - p*o + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (10\/(-15))\/((-4)\/6). Let r = 31\/9 + -11\/3. Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(-1 + (-147)\/(-154)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.07116749 to 3 dps.\nAnswer: -3.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from yqbyqxoyxbbxdydqdy.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472912*c + 894*c - 9 - 1 + 8.\nAnswer: 473806*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/5))**(-37) assuming k is positive.\nAnswer: k**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -31*w + 107. Let k be v(-36). Suppose 7*u - 8286 = -k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -931, -2100, -3737, -5842?\nAnswer: -8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 8 = -88 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 2)*(-2 + 6*z + 2) - 9*z + 3*z - 10*z)*(0 + 0 - z**3).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1086*n**3*v**5 - 9*n**3*v + n**3 - 17*n**2 + n*v**5 - 2*n*v**2 wrt v.\nAnswer: 65160*n**3*v**2 + 60*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 39*y**2 - 243*y + 369. Calculate h(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 1 = 15. Suppose 4*v = -j*m - 6851 + 28153, v - 53228 = -5*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 5*r + 2. Let z be y(2). Is 5 + z\/((-16)\/(-4)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.12, 1163, 35?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 25 = -5*z - 4*j, 5*z + 10 = -2*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.08540856 rounded to 3 dps?\nAnswer: 20.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 23310.\nAnswer: 6993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2 - 36*q + 190?\nAnswer: -2*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31150511 to the power of 1\/2, to the nearest integer?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2. Let l(g) be the second derivative of g**4\/6 - 24*g + 3. What is a(l(w))?\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + 2*sqrt(56)*-5 + sqrt(56))\/sqrt(8).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, 1\/25, -2 in increasing order.\nAnswer: -2, -0.22, 1\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -45\/2, -0.11, 3, 4 in ascending order.\nAnswer: -45\/2, -0.11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**6 + 4145*j**4 - 91*j**2 + 69*j + 3 wrt j.\nAnswer: -480*j**3 + 99480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054.53 rounded to the nearest one hundred?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.372477t to nanograms.\nAnswer: 4372477000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/5 - 53481*a\/5 - 6585516\/5 = 0 for a.\nAnswer: -17703, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33757734 to the power of 1\/2, to the nearest integer?\nAnswer: 5810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3334*d**2 - 2309*d wrt d?\nAnswer: -6668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18b50 (base 12) to base 5.\nAnswer: 2124304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -11, -2, -2\/7, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h**2 + 0*h)*(3*h - 2*h - 2*h)*(-3 + 2 - 4)*(h - 3 + 3).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 + (112 - (-53 - -34))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 5*u**2 - 8*u - 15. Calculate the lowest common multiple of 22 and n(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*g**4 - 65066*g**3\/3 + 3041146*g**2\/9 - 5198090*g\/9 - 28900 = 0.\nAnswer: -9\/185, 2, 85\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 308*d**4 - 3*d**3 + d**2 + 30*d - 46056977 wrt d?\nAnswer: 1232*d**3 - 9*d**2 + 2*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 times -50?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69a - -11?\nAnswer: 6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 145621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(17*z + 24*z - 8*z)*(-89 + 816 - 119) to w + n*z and give n.\nAnswer: 40128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*g**4 - 318*g**2 + 18*g + 2241316.\nAnswer: 72*g**3 - 636*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2 - 6*b + 4. Let y be d(-4). Suppose 3*c = 31 + 17. Solve -2*a = 5*j - c + y, -5*a + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539a29 (base 12) in base 5?\nAnswer: -314322033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6680 + 44042*t + 6680.\nAnswer: 44042*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -21 - (20\/(-5) - (-39)\/3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + 3. Suppose v + 41 = -5*o, 10 + s = -4*v + 3*o. Find the common denominator of -23\/3 and 1\/2 - v\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 + 1057*f + 253. Let t(v) = -2*v. What is t(x(y))?\nAnswer: 2*y - 2114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2119373134, -2119373135, -2119373136?\n\"Answer: -q - 2119373133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4693, -5, -5944 in increasing order.\nAnswer: -5944, -4693, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 942759 divided by 8343?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/20 + -1\/180. Let f = -2\/9 - m. What is the nearest to 2\/3 in 0.1, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1869 = 4*j + 5879. Let q = j + -13863. Round q to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16375 and 56\/326845.\nAnswer: 8171125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 1 + -126)\/(27\/(-198))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -19 + -5 + 6 + 262 + -271.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 1, m: 1, k: 6, e: 1}. What is prob of picking 1 m, 2 k, and 1 i?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-5))\/((-10)\/10*-2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-7 - -5 - 13). Let n be (-4)\/8*(-1 - -7). What is the biggest value in -3\/2, m, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 9 + 11. Let r(d) = -17*d - 14. Suppose 2*n = 5*n - 15. Let h(f) = 7*f - 2*f + f + n. Calculate z*r(t) + 11*h(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*w**5 + 80*w**4 + 20995*w**3 - 56355*w**2 - 51075*w - 10125 = 0. Calculate w.\nAnswer: -9, -3\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4345 + 17565\/4. Let f = 46 - r. What is the closest to f in 3, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from 3.7293.\nAnswer: 29.7293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + 1 - (52 - 28 - -5 - 42) - 14?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/91 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 7*k + 7. Give c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**5\/120 - z**4\/6 + 4*z**3\/3 - 2. Let k(o) be the third derivative of g(o). What is k(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/1620 + m**4\/27 - 53*m**3\/3 + 2*m + 15. Let g(h) be the third derivative of y(h). Let g(k) = 0. What is k?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1122, 720, 2562, 4404, 6246, 8088?\nAnswer: 9930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 3335241.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - q. Let t be i(1). Let s(c) = -c**2 + 5*c - 2. Let w be s(t). Let m = 24.973697 - -0.026303. What is the third smallest value in 1\/4, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from rvvuuvvarfrvoavovu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(330)*-2 + sqrt(330))*4)\/(sqrt(88)\/(sqrt(8)*-2)))\/(-4*sqrt(40)\/sqrt(4) + (sqrt(1000) + sqrt(40))\/sqrt(4)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:12 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(9\/7)*f)*f*f*f*f*f\/(f\/f**(2\/23)))\/(f*f**(-11)\/f)**(1\/17) assuming f is positive.\nAnswer: f**(12175\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1568.\nAnswer: 3\/784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (172\/(-60) + -1*3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 43.04. Let c = v - -42.9. Is c less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.64 - 0.14. Let s = -5.09 - -0.09. Sort -0.3, s, t in increasing order.\nAnswer: s, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167563694 + -167563986.865967. Let w = -292.736 - s. Let m = -0.13 + w. What is m rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 43. Solve -q*m - d = 0, -5*m + d + d = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 106 (c) -3.289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -650, -1557, -2846, -4529?\nAnswer: -6618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -107 - 447?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3361*y**5 + y**2 - 537*y - 4.\nAnswer: -201660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - 97. Suppose 16*p = -677 - 3099. Let r = l - p. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9844 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022740561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24.93 and -41.8967492.\nAnswer: -66.8267492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -128283?\nAnswer: 76969.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 12) + -4 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2684.03688 - -2684. Let q = -5 - -5.037. Let l = q + f. Round l to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22458529 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58036344, -116072690, -174109040, -232145394, -290181752?\nAnswer: -348218114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 33*p**2 - 243 + 68*p + 110*p + 25*p**4 + 41*p**2 - 10*p**3 + 3 - 27*p**4 = 0.\nAnswer: -8, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-86)\/18 + 2\/(-9). Let r be 0*((-8)\/(-2) - 3). Suppose j - 4*j - 5*y + 14 = 0, -4*j - 5*y = -12. Sort r, c, j.\nAnswer: c, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/11))**(10\/9)*k**(-16)*(k*k\/k**(1\/28))\/k*k assuming k is positive.\nAnswer: k**(-12689\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 363\/9 - (-44)\/(-18)*(-3972)\/2648?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 13*b**3 + 170)*(b + 2*b - b) + b**2 - 2*b**4 - b**2.\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 89. Solve 7*y - 5 = 2*y + 5*p, 5*y = q*p + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000 (base 5) in base 11?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1563 (base 8) to base 12\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + -4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95616420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 10. Let j = -18 + 11. Let f(x) = -x - 7. Let n(a) = j*f(a) + 5*i(a). Let m = -8 - -22. Let o(y) = 10*y + 3. What is m*n(g) + 4*o(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-210)\/28)\/(17\/(-42806)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 116. Suppose 4*p = s*p - 4. Sort 5, 3, p, 1.\nAnswer: 1, 3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*i**2*s + f*i + 2*f*s - 8*f + 12*i**2*s - i*s + 2 wrt i?\nAnswer: 2*f*i*s + f + 24*i*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -249644 divided by 556\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {c: 1, t: 2, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 142 - 52 = 0. Calculate the common denominator of -47\/18 and (1 - -1) + 71\/b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1575557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (444 - 435) + -48 + -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, 1585, 6649, 16831, 33835, 59365, 95125, 142819?\n\"Answer: 284*m**3 + 3*m**2 - 347*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52164445?\nAnswer: 5, 10432889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*c**5 - 697430335*c**4 - 496345003848560*c**3 - 13117191554988360*c**2 + 7617091974981840*c - 1093944281001840 = 0. Calculate c.\nAnswer: -1423314, -27, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158\/2183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(6 + 0 - 21 + (5 - 4 - 2)*(-2 + 0 + 0))*(-52*t**4 + 137*t**4 - 36*t**4).\nAnswer: 1274*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -48*o - 107 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + 4*m. Let z(j) = -6*j**2 + 4*j. Calculate -3*k(l) + 2*z(l).\nAnswer: 3*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4420 - 4276. Calculate the greatest common factor of k and 2088.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 23*m**4 + 72*m**3 - 453*m**2 + 598*m - 251. Let b(h) = 8*h**4 + 24*h**3 - 152*h**2 + 200*h - 84. Let w(r) = -11*b(r) + 4*s(r). Factor w(z).\nAnswer: 4*(z - 2)*(z - 1)**2*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.992104 take away 0.3?\nAnswer: 3.692104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 7*x + 2. Suppose -b + 13 = 5*z, -22 = -4*b + 5*z - 70. Let m be i(b). Let g = -876 + 3525\/4. What is the nearest to g in 1\/4, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57224.26 centuries in decades?\nAnswer: 572242.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/11 + 146*r**4\/11 - 2316*r**3\/11 + 15056*r**2\/11 - 44096*r\/11 + 48384\/11 = 0 for r.\nAnswer: 4, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308107.701 - -68.\nAnswer: -308039.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/18)\/((-98)\/168).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*150\/60?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)*v)\/(v\/(v\/(v\/v**(-3\/2)*v)))*v\/(v*v**(-7)*v)*v**(2\/15)\/v*v assuming v is positive.\nAnswer: v**(2567\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(5*3\/5) + 5. Let k(b) = -17*b**2 - 2*b. Let v(n) = 273*n**2 + 33*n. What is g*v(x) - 33*k(x)?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*(sqrt(1584) - (0 + sqrt(1584) + sqrt(1584))))**2 + -2 - (2 + sqrt(1584) + (4 + 2*sqrt(1584) - sqrt(1584))**2)).\nAnswer: -108*sqrt(11) + 37999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-7)*(-1)\/105*-49. Let v = 1 + -0.9. Which is the second biggest value? (a) v (b) f (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let d be -4 + 2 + 1 - u. Suppose d*i = 3*i - 9. Solve 0*y - y - v + 8 = 0, i*y + 4*v = 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2*l**2 + 2*l**2 - 2*l**2 + 0 + 0 + (-3*l + 0*l + l)*(3*l + 3*l - 4*l) - l**2 - 3*l**2 + 2*l**2 + 155*l**2 + 17360 - 17360.\nAnswer: 145*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116 - 7*q + 37 + 95*q**2 + 41 + 37 + 3*q**5 + 435*q**4 - 2*q**3 wrt q.\nAnswer: 180*q**2 + 10440*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**7\/60 + g**5\/3 + 13*g**2. Let b(v) be the third derivative of s(v). Let l(z) = -z**2. What is b(l(i))?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**2 - 11*b**2 + b**2 + (2 - 2 + 2*b)*(5 + 2*b - 5) to the form t + q*b + i*b**2 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -9. Let m = j + 12. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -86 (b) 2462 (c) -0.5 (d) -1\/4 (e) -3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36 - -8) + 4\/4. Calculate the highest common divisor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 4\/7, -0.2, -0.4, 2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u - 200. Let t(m) = m - 5. What is s(y) - 10*t(y)?\nAnswer: 4*y - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 11. Let b = 34 - 4. Calculate the remainder when b is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.8148797 to one decimal place.\nAnswer: 60.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19453 + -19433. What is the highest common divisor of g and 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.287 + 5.287. Sort h, 1, 1\/7 in descending order.\nAnswer: h, 1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.4, 0.44, -62\/9, 2\/11?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-7)\/1 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055542421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109260769 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:33 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63135 divided by 1395?\nAnswer: 1403\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 28 + 8 = 0. Suppose -i*r = -0*r - 16. Suppose -r*a + 3 = o, 4*a - 2*a + 6 = 2*o. Solve 2*d + a = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + f**2 + 42*f**2 + 19*f**2.\nAnswer: 62*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*v**4 - 184*v**4 + 100*v**4)*(-3*v + 0*v + v).\nAnswer: 596*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (6 - (-6 - -10)) - -15 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1107 divided by 5.\nAnswer: 1107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36034944*j**4 + 78689423*j**2 wrt j?\nAnswer: -864838656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10 + 1)*-2. Let d = 3.2 - 1.7. Let l = -1.5 + d. Which is the biggest value? (a) o (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 248 - 4?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*q**5 - 200*q + 1 wrt q?\nAnswer: 8860*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 43*g + 10. Give v(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69922274 to the power of 1\/2, to the nearest integer?\nAnswer: 8362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let i = -1.9 - -10.9. Let c = h - i. Sort -1, c, 1.\nAnswer: c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 4*c. Let j(a) = -5*a**2 + 25*a + 1. Let x(o) = j(o) + 6*q(o). Let y(s) = 11*s**2 + 9*s + 6. Calculate -6*x(f) + y(f).\nAnswer: 5*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 + -563. Round k to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaallajalllaajaiija. Give prob of sequence li.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(((b*b**(-1\/8))\/b*b)\/b))\/b)\/((b*b**(1\/3))\/b))**(-3\/19) assuming b is positive.\nAnswer: b**(5\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (-20)\/8. Let x be -1 + 0 + 1 + y. Suppose -5*j - v = -57, j = -v - x + 12. 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: Which is the third biggest value? (a) 2 (b) -6 (c) -3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3\/3 - 7*v**2\/2 + 6*v + 151. Calculate o(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -74*k - 27. Let q(g) = 213*g + 77. Let n(t) = -8*q(t) - 23*u(t). Let v(c) = c + 4. Let p be v(-4). Calculate n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26797365?\nAnswer: 3, 5, 7, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {z: 1, r: 2, i: 1, j: 2, m: 1, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:49 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -34*m - 139. Which is bigger: m or 42\/43?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*q**2 + 6 + 7*q**2 - 39*q**2 to the form a*q + k*q**2 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88360 and 12.\nAnswer: 265080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*t + 47*t + 46*t + 47*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 6 = -21. Let g = m + -2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8532935025 plus 1151?\nAnswer: 1172.8532935025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390464.\nAnswer: 2, 41, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1\/144, -2\/5, 1, 3\/2.\nAnswer: -4\/3, -2\/5, -1\/144, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-8))\/((-1)\/4). Suppose 5*g + 24 = 2*n, -2*n + 2*g + 48 = q*g. Let r be (n\/(-12))\/1 + 2. Which is the biggest value? (a) 0.5 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 + 1038*p\/5 + 824.\nAnswer: 2*(p + 4)*(p + 515)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z. Let h be t(6). Let l be 8\/h*(10 + -7). Let s(c) = -c + 5. Let f be s(4). Put 5, f, l in descending order.\nAnswer: 5, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*g**3 - 4983181*g**2 - 684*g + 48880 wrt g?\nAnswer: 126*g - 9966362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 - 105*x**2 + 51*x + 91. Suppose 2*f = 5*z + 235, 117 = f + z - 18. What is the remainder when f is divided by p(52)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1455379.\nAnswer: -1455377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**0)\/r)**(6\/11)*(r**(-1)*r)\/r**(-2\/7))\/(r**4*r**(-1\/10))**(-7) assuming r is positive.\nAnswer: r**(21661\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 552, 854, 1156?\n\"Answer: 302*a + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*p**5 - 2*p**3 - 22*p**2 + 6993*p.\nAnswer: -900*p**3 - 12*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j**(-8)*j)*j\/(((j*j**2*j)\/j)\/j)*j)\/((j**(1\/4)\/j)\/(j**7\/j))*(j**(-2\/27)*j**(1\/2))\/(j**(-2\/3)*j**(-7)*j*j) assuming j is positive.\nAnswer: j**(2035\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92294.\nAnswer: 2, 46147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39585 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 509, 1047, 1613, 2213, 2853, 3539?\n\"Answer: a**3 + 8*a**2 + 507*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 less than 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 148, 138, 116, 76, 12?\n\"Answer: -m**3 - 3*m + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 12. Let o be (-6 - -16) + -12 - 2\/(-1). Give b(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**5 + 83272*k**4 - 48384*k**2 wrt k.\nAnswer: -60*k**2 + 1998528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1424, 6056, 13850, 24812, 38948, 56264, 76766, 100460?\nAnswer: 127352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4 - 2 - 7*d + d**2 + 2. Let w be u(7). Suppose 30 = -60*p + 54*p. Sort p, -3, w in descending order.\nAnswer: -3, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b5 (base 12) to base 10\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20*h = -18*h + 1840, -3*i + 5526 = -4*h. What is the greatest common factor of 208 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 + u. Let d(a) = -6*a**3 + 7*a**2 + 8*a. Give 2*d(q) - 14*z(q).\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(18) + 0)*-1.\nAnswer: -3*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.01 + -182076733?\nAnswer: -182076727.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 11*t**2 + 102*t - 667. Determine n(10).\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795*q + 2792*q = -9*z - 111, -2*z - 24 = -q for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12031 and -53.\nAnswer: -6.37643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 4 (c) 18 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7 = o, -p + 5 = 3*o - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 148*w**3 - 3787*w + 69*w**3 + 5.\nAnswer: -79*w**3 - 3787*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 + 1)\/2)\/(82 - 81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 + (9 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 5*x - 27 = 0, 1 = -4*z + 4*x + x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/50400 - q**7\/3150 - q**6\/450 + q**5\/30 + 4*q**2. Let n(k) be the third derivative of t(k). Factor n(l).\nAnswer: -2*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 8:58 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 506850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/19)\/(18\/(-9)). Is d not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2. Let i = 21 - 13. Suppose 4*a + i - 16 = 0. Let n(h) = 2*h**a - 13 + 13. What is l(n(k))?\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181168282?\nAnswer: 2, 1021, 88721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(53 - 3 - 44)*(i - 3 + 3)*(5*i**3 - 6*i**3 - 8*i**3).\nAnswer: -108*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*5 - sqrt(54)) + sqrt(54))\/sqrt(3)*-1)\/((2*2*sqrt(9) - sqrt(27)\/sqrt(3)*-5)*-6).\nAnswer: 5*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575341 to the power of 1\/2, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1934 + -1923. Solve -4*m + r*m = -19*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.3156*-26.\nAnswer: 944.2056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 3*p + 107. Let s be b(-6). Solve 16*t - s = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-8) - -1)*-140. Let f be (-1 + 21)\/2 + -71 + 71. What is the greatest common divisor of m and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 2 + 0 - 12 - 3*n. Give r(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.028 + 3.972. Let a = 24 + 32. Let y = -59 + a. What is the nearest to -2\/11 in -1, y, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201201 (base 3) in base 11?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 73*h**3 + 2*h**2 - 6*h + 5. What is the tens digit of y(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.146 - 125.854. Let j = k + 125.999991. What is j rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80544678*v**2 - 13154217.\nAnswer: -161089356*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3) + (-10 + 4 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 - 9 - 1) + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4)*-1 + 17\/20. Let g(t) be the first derivative of 0*t**4 - k*t**5 - 1\/3*t**3 + 3 + 0*t**2 + 0*t. Find the third derivative of g(n) wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -w - r - 19110, -4*w + 3*r - 76394 = 0. Round w to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8*(-7)\/(-1008))\/((-3)\/(-2))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 125*g**2 + 491*g + 3645. Give q(129).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2600231*w. Let l(m) = 2*m. What is y(l(q))?\nAnswer: 5200462*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107448764?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 7*j**2 + 83 - 175.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33900 divided by -2260?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t. Let d(r) be the second derivative of 25*r**3\/2 - 7*r**2\/2 - 35*r. Let z(g) = 38*g - 3. Let l(i) = 4*d(i) - 9*z(i). Give h(l(q)).\nAnswer: 42*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -2 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7159 + 7202. Calculate the remainder when x is divided by (-16)\/6*18\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by -549.\nAnswer: 140\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 7365071.5 to the nearest ten thousand.\nAnswer: 7370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -666720 divided by -33336?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 23. Let f be d(-3). Let y(q) = -9*q - 93. Calculate the smallest common multiple of y(f) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/81, 2\/9, -12149 in descending order.\nAnswer: 2\/9, -5\/81, -12149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.89934 + -4.9. What is i rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 2*n + 38. Calculate c(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 102*z - 100*z = 288, 0 = -5*k - 4*z - 82 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 9 - u**3 + u**2 + 0*u**2 - 2*u. Let m(h) = 3*h - 2. Let f(x) = -5*x + 3. Let j(n) = 5*f(n) + 8*m(n). Let z be j(-1). Give a(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/1 + 1)\/(31\/(-93)). What is the common denominator of -73\/18 and 819\/(-70) + k\/(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*x - 216 + 28 = 0, 767 = -4*f - x. Let v = 187 + f. Put 0.5, v, -0.4, -13\/4 in ascending order.\nAnswer: v, -13\/4, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67, -74, -75, -70?\n\"Answer: 3*g**2 - 16*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g, -17 = -3*c + 3*g + 1. Suppose 0*v + 2*v - 2*r + 16 = 0, 0 = c*v + 4*r - 4. Let a be v*40002\/4 + 2. Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 337*x + 2. Let j(d) = -165*d**2 - 27*d. Let n(c) = 73*c**2 + 12*c. Let y(r) = 4*j(r) + 9*n(r). Calculate y(v(b)).\nAnswer: -340707*b**2 - 4044*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109 (base 11) to base 12.\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5217*c + 46968. Give z(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 2*m)*(275 + 28*m - 275) + 28*m**2 - 7*m**2 - 13*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -841*j**2 + 2*j + 1. Let m be f(-1). Let y = -106 - m. Suppose 57*s = 53*s + y. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 240, 367, 476, 561?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2478, 299, -3332, -8415, -14950, -22937?\nAnswer: -32376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - 65\/9. Let i(r) = -2*r - 10. Let f be i(y). Suppose -c - 12 = 3*x - 11, -c = 2*x + 2. Sort 0, x, f in descending order.\nAnswer: f, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2624)\/(-820)*(-5)\/(-2) + 55865 + 1.\nAnswer: 2, 7, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:38 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208740 and 80115.\nAnswer: 22752660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -1, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -259 + 33 + 108 - -227?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*d - 1\/4 - d**2.\nAnswer: -(d + 1)*(4*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4603?\nAnswer: 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -93.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -280 and -47.\nAnswer: 13160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 0, -4, 1\/5, 2440?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 22 = 8*s + 3*r, 0 = -2*r - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*(0 - -1). Is -0.47 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - 5 + 5 + 2*h**3 - 3*h**3 + 2*h**3 + (-h + h - 2*h)*(0*h + 2*h**2 + 0*h) + (192 - 3463*h - 148 + 3438*h)*(5*h**2 - 3*h**2 + 0*h**2).\nAnswer: -52*h**3 + 88*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 - 6*v - 155. Let a(r) = r**3 - 5*r**2 + 5*r + 156. Determine -6*a(p) - 5*t(p).\nAnswer: -p**3 - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -27, m = 483*r - 482*r - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.2 + 2.3. Let t = r + 1.9. What is the closest to -5 in t, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12839, 12837, 12835, 12833?\n\"Answer: -2*b + 12841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 7*k**2 - 6*k + 3. Let x be h(-6). Solve -x*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**2 - 6*p**2 - 11*p**2 - 14*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a day?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 3, 3\/7, 1\/3 in decreasing order.\nAnswer: 3, 3\/5, 3\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i + 8 = -2*g, 24 = -4*g - 2*i. Suppose -x + 3 = 3*j, 2*x - 2*j = -6*j + 6. What is the third biggest value in g, 1\/17, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -179*j**3 - j**2 + 79*j - 19416 with respect to j.\nAnswer: -537*j**2 - 2*j + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2415bc (base 13) to base 15\nAnswer: 11ec52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 109. Which is the nearest to -0.1? (a) -4 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 15810661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 + 50*i**2 - 30*i + 25. Is s(-25) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 66*b + 12. Suppose -c = -3*c - 54. Let i(q) = 5*q + 1. Let l(a) = c*i(a) + 2*t(a). Let u(y) = -4*y - 4. Determine -5*l(m) + 4*u(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 0.6. Let p = x + -3.6. Let d = p - -3.5. Which is the third smallest value? (a) d (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 5. Suppose m*u + 630 = 715. Calculate the remainder when 61 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 180 = 744. Suppose 20*p = -r - 36. What is the fourth biggest value in 6, p, 0.3, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1.8 (b) -74 (c) -2\/21 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r. Let p be -1 - (16\/2)\/(-2). Let g(t) be the second derivative of 3*t + 0*t**p + 0 + 1\/6*t**4 + 0*t**2. Give g(n(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:17 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 23. Let z = -15 + 9. Let x = z - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 6*h - 5. Let v be m(4). Let y(x) = 4*x**2 + 0*x - 5 + x**3 - x + v*x - 4*x. Let r(k) = k**2 - 16*k + 59. Let j be r(9). Calculate y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-20) + 12\/5. Suppose 5*u - 5*j - 3 - s = 0, u - 5*j + 15 = 0. Which is the nearest to 2? (a) 0.5 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 2. Let v be o(2). Let l(p) = 0*p**2 + 2*p**v - 2*p**2 - p**2. Let w(n) = 6*n. Determine l(w(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3500 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-2 - 2 - -2) + 1 + (848 - 859)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*j + 287*j + 284*j**2 - 103*j - 282*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by -2866470.\nAnswer: -53\/2866470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23131204 (base 7) to base 12\nAnswer: 8176b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 9. Let f be d(7). Suppose -8 = -f*b, z - 7 = 4*b - 24. What is the tens digit of ((-20)\/6)\/(z\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56242 is divided by 623.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22781.000018109 + -22781. Round l to seven decimal places.\nAnswer: 0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/(-15))\/(-7) - (-138)\/9. What is the second derivative of 6*f**2 + 2 - 3*f + 4*f + w + 2*f**2 wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16830420 by -60.\nAnswer: -280507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h*h*h)\/h*h**(-1)\/h*h**(-7\/2)*h*h**(-3\/5)*((h*h\/h**(1\/4)*h)\/(h*h\/(h\/h**0)))\/(h**(5\/2)*h*h**3) assuming h is positive.\nAnswer: h**(-97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*h**2 - 30 - 38*h**4 - 12*h**2 - 11 wrt h.\nAnswer: -152*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*x, -x + 5 = 2*f + f. Suppose -117 = v - x*v. Let l(r) = r + 13. Let b be l(0). Calculate the highest common factor of b and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*w + 25 = -10*w, -20 = -4*s - 2*w. Solve -s*i = -3*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39\/2 + 20. Let y = -64 - -66. Sort n, y, -2.\nAnswer: -2, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -53 (b) 34.48 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**6 - 5*z**4 - 17*z**2 + 5*z. Let t(j) = 5*j**6 - 3*j**4 - 9*j**2 + 3*j. Let s(g) = 3*p(g) - 5*t(g). Find the third derivative of s(d) wrt d.\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2. Let s(o) = -57*o**2. Determine s(y(f)).\nAnswer: -2052*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*t**2 - 239 + 16*t**2 + 239 - t**6 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(3\/8)*g)\/g)\/g)\/g)**(-18\/7))**32*(g*g\/(g*g**0\/g))**(-30)\/((g*(g*g**(-5))\/g)\/(g**(1\/2)*g)) assuming g is positive.\nAnswer: g**(1109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*3*3.\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06677*4397.\nAnswer: 293.58769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 5*l + 215 = -36*d, -4*d + 115 + 27 = -3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 268*q**3\/5 + 276*q**2\/5 - 528*q\/5 - 16\/5 = 0.\nAnswer: -2, -2\/67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -4. Is (6 + -3 + -34)*i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16834 + -10534. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u. Suppose i = -0*i - 3, u = -g + i + 3. Suppose l + 2*f + 130008 = g, 649984 = -5*l + 4*f - 0*f. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 106. Solve 0 = -3*x + 5*j - 2, -x + j = -l*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 7. Let c(z) = -21*z - 35. Let l(k) = 2*c(k) - 11*r(k). Let m be l(-6). Let t(f) = f**3 + 5*f**2 - 7*f - 8. What is the units digit of t(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 9 = -19*t. Let q(s) = 16*s + 1. What is q(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2282648472?\nAnswer: 2, 3, 13, 853, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 47 = -4*i - 3, -5*r + 17 = 4*i. Calculate the remainder when 22 is divided by 14*(-4)\/16*i\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -22\/4749, -0.1, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6607 or -6606?\nAnswer: -6607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -80*o. Let h(c) = -2*c + 11. Give z(h(y)).\nAnswer: 160*y - 880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r**2 + 2*r**3 + (2*r - 2*r + r**3)*(2954 - 2031 + 1365) to the form p*r**3 + l*r + c + f*r**2 and give p.\nAnswer: 2290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/7)\/(59 + 66994\/(-1148))?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -99 * -25.8\nAnswer: 2554.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/128137 or -1?\nAnswer: -2\/128137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4063, -4147, -4231?\nAnswer: -4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1475907*l**6 + 175085*l**2 wrt l.\nAnswer: 177108840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*k + 3)*(11 - 1 + 0)*(69 + 7*k**2 - 69).\nAnswer: -280*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*d*y - b**2*y - 486*b**2 - 5*b*d*y - 2*b wrt d?\nAnswer: -b**2*y - 5*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 621139019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39725 + 170275. What is w rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -13*k**4\/24 + k**3\/6 + k**2. Suppose 2 = 5*i + 3*d, i + 0*d - 5 = 4*d. Calculate n(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 51*a**3 - a**2 - 2*a - 1. Let r be j(2). Let o = 600 - r. List the prime factors of o.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 - 96 = 89*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/20))**(-19\/3) assuming o is positive.\nAnswer: o**(19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/6014 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*g**2 - 37*g**2 + 29*g**2.\nAnswer: -533*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 304, 426, 530, 610?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 18*a**2 + a - 11. Suppose 2*k - 3 - 33 = 0. Is n(k) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**2 - 77*a - 11. What is l(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 25*k + 0 - 8*k**2 + 20\/3*k**3. Differentiate t(u) wrt u.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/4 + 3\/12. Suppose -4*k = -3*x - a + 2, 4*k + 5*x = 27. Suppose k*c = 426 - 45. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 5*z**7\/42 + z**3\/3 - 3*z. Find the second derivative of u(l) wrt l.\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = 4. Let g be (h\/(-3))\/(1\/(-3)). Let j(a) be the first derivative of -a**4\/2 - a**3 + 2*a + 1. What is j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -202?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (((sqrt(128) - (1 + sqrt(128)*4) - sqrt(128)) + sqrt(128))**2 - sqrt(128)) + 4*sqrt(128) + -5.\nAnswer: 80*sqrt(2) + 1148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 5, 2\/11, -15, -1.5, 1, 79\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -0.039.\nAnswer: -22.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1 - 3 - -4) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47022079 and 977590?\nAnswer: 470220790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f*(f*f*(f\/(f*f*f**(-3\/8)*f))\/f)\/f)\/f*f)\/(f*f*f**(-7)))\/(f**(-2\/21)*f\/(f\/(f\/(f\/(((f*(f*f\/f**(2\/11))\/f)\/f)\/f))))))**18 assuming f is positive.\nAnswer: f**(36879\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-17 + 5 + -16 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 725*o - 20370*o**3 + 1 + 725*o. Suppose -1 = 3*p + 8. Let s be v(p). Round s to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-14)\/48)*(-2064)\/2752.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*6774\/1129.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 929143.717 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3, -2\/9, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1945*x + 5749*x - 1942*x - 1863*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174296 divided by -4?\nAnswer: -293574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -704.0229 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57243 or -425?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -57*o**3 + 7 - 17*o**3 - 11*o**2 + 2*o + 73*o**3. Give s(-11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 52695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(28\/(-35))\/(56\/20))\/(765\/(-714)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(2*-2 + (-6 - -8)). What is the closest to 0 in -2\/11, 14\/9, -2\/3, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1907 and 5.\nAnswer: 5.9535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 10 - -8)\/(18\/45). Let t(o) be the first derivative of 8\/25*o**d + 1\/15*o**6 + 8\/15*o**3 + 1\/5*o**2 - 8 + 0*o + 3\/5*o**4. Factor t(j).\nAnswer: 2*j*(j + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 3, 10, 6.\nAnswer: 3, 6, 10, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + (-1 - (0 + -5))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106841 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90603459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (0 + (-58)\/2). What is the units digit of (p\/(-12))\/((-3)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*u + 110, 4*u + 3*x + 42 = 160. Calculate the remainder when 445 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56211330 and 1470.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 302162 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 6*w + 40. Let g be z(-10). Let p(c) be the third derivative of 5\/24*c**4 + 1\/60*c**5 + 0*c + 1\/3*c**3 - 3*c**2 + g. Calculate p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 436420217.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 510246*r**2\/7 - 44913264*r\/7 - 988176992\/7.\nAnswer: 2*(r - 255211)*(r + 44)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000572474438 rounded to 7 decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/13 - -109\/78. Suppose 1\/6 - 5\/6*u + 3\/2*u**2 + 1\/3*u**4 - n*u**3 = 0. Calculate u.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 1 (c) -20\/3 (d) -0.01 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5587\/3 + 1865. Which is the closest to -0.1? (a) k (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 3454850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020112121121 (base 3) in base 8?\nAnswer: 4427322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 33) + (5 - 11) + -2 + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 1:01 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 + -15?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/109? (a) 4\/3 (b) 1 (c) 42 (d) 2 (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399.97469235 + -0.01615765. Let w = 400 + x. Round w to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - (2 + -15)) + (94 - 1) - 9) + 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.871 + 0.029. Let o = m + 164.1. Let d = o - 168.0069. Round d to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/22564 and 5\/8?\nAnswer: 45128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 + 134. What is the nearest to 2 in -4, -2\/21, h?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -34*f + 40. Let o(z) = -34*z + 39. Let p(j) = -4*h(j) + 5*o(j). Let d be 102\/3*74\/(-148). Is p(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b + 54. Let o(u) = -10*u + 53. Let r(m) = 3*h(m) - 2*o(m). Let x be r(-13). Calculate the greatest common factor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b = 109*b - 2*b + 738 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 16 = 17. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxyxxyyxxxcxyyycyxy. What is prob of picking 3 x?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 1. Let b be r(2). Suppose -b*o + 777 = -2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.201 - 40.491. Round w to one dp.\nAnswer: -44.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15755338 - -5?\nAnswer: 15755344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - h + 4*h + 504 = 0, -3*h - 160 = -c. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*c + 10, -5*w = -0*w + 5*c - 25. Suppose 0*n - 2*n - 12 = -w*o, 5*n - 8 = 3*o. Solve 0 = -4*a - o*i + 3 + 1, 2*i - 30 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z. Suppose d - 145 = -z*o - 3*o, d - 192 = -4*o. Let x = -78 + o. Round x to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = -1760 + 8420. Let n = t - 172. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:12 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1768467 - -5a?\nAnswer: 1768516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*b**2 + 85*b**2 - 159*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10031 - 3?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rruuuvrurvvur. What is prob of picking 2 r and 2 u?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 595721\/30 + -19862. Find the common denominator of r and -59\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x + 9. Let d be a(-2). Sort -2\/9, -2\/5, 2\/13, d in increasing order.\nAnswer: d, -2\/5, -2\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/9 + (-16)\/(-72). Let p be (-60)\/14 - (-8)\/28. Put 4, -1, p, k in ascending order.\nAnswer: p, -1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5 - 0. Let j be k*(0 - -1 - -15). Let m = j + 49\/3. What is the nearest to -0.2 in -1, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18*w**2 - 50*w + 68. Let v(s) = -8*s**2 + 26*s - 35. Calculate 3*q(c) + 7*v(c).\nAnswer: -2*c**2 + 32*c - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.135 - -6.835. Let g = 6.4 - q. Let x(i) = i + 10. Let l be x(-7). What is the smallest value in g, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66208.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -31. Suppose -4*c + 3 = -h*c. Does 19 divide (-4)\/((-24)\/573) - c\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/2*9\/(45\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*b + 21. Let x be (-12)\/(-18) - 28\/b. Let u be (14\/3)\/(2\/3). Let h(t) = -2*t - 6. Let l(p) = -4*p - 11. What is u*h(d) + x*l(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.0306?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u + 3. Let c(s) = -2*s + 3*s**2 + 5*s + s**2 + s**3. Let w be c(-2). Determine k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + u**3 - 2)*((0*u - 3*u + 2*u)*(5*u - u - 2*u) - 2*u**2 + 1 - 1 + 2 - u**2 - 2 - 5 + 5 - 2*u**2).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 11) to base 9\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 45*p**3 - 2*p**2 - p**2 - 6*p**3 + 36*p**3.\nAnswer: 75*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -536*a**2 - 526*a**2 + 2*a + 2500 + 1061*a**2 to m + c*a**2 + w*a and give m.\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-36))\/(1883\/1062012).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 27. Let y = -6480 - -6476. What is the second biggest value in f, y, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 33*q**2 - 2*q + 52. Determine x(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -4 - (-26 + 20) - 15 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24148386 is divided by 6037085?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*b**2 - 55*b + 55*b + (6 - 2 - 3)*(-113 - 42*b**2 + 113) in the form j*b + a*b**2 + q and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3559867 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.139 + -0.161. Let u = 23.5 + -18.05. Let x = -5.5 + u. Which is the third smallest value? (a) 4 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 1. Suppose -4*z + 0 = -8. Suppose -3 = -z*d - 1. Let b(p) = 7*p**2 - 7. Let g(u) = d*b(u) + 5*c(u). Factor g(y).\nAnswer: 2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 339 - 2363 = 5*o, 491 = j - 5*o. Calculate the greatest common factor of j and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwwc when four letters picked without replacement from {w: 8, c: 1, h: 10}.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4026)\/(-61)*((-3)\/18)\/((-3)\/(-9)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7345\/6 + 1216. Suppose k = -4*k + 4*u + 1, -3*k - 2*u = -5. Calculate the common denominator of 19\/(-16)*k*6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -896, -893, -888, -881, -872, -861, -848?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p**2 - 126 + 126.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596*y + 62008 = -1100*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from {a: 3, u: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16517*u + 1003*u + 1523*u + 14237*u.\nAnswer: 33280*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15130 is divided by 633?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 42. Let d(s) be the first derivative of 22*s + 30*s + 29 + t*s**2 - 11*s + s**2. Differentiate d(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*15*(-14)\/3220?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2044*w + 8180. Calculate x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36789?\nAnswer: 3, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1805 (base 13) to base 14\nAnswer: 141c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78\/6*(2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65436\/(-48) + (-2)\/(-8). What is the tens digit of 12\/30 + k\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*(-104)\/286)\/(-4).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/24)\/(3\/8). Let y(v) = -v**3 + 2*v**2. Let u(o) = 3*o**3 - 5*o**2. What is b*u(r) + 5*y(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - q - 9. Let i be r(0). Let u(j) = -2*j. Does 9 divide u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 5*q**2 + 2*q**2 + (-q - 2 + 2)*(-q + q + 2*q) - q**2 + q**2 + 2*q**2 - q**2 - 4*q**2 + 0*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 7. Suppose 403 = g*c - 465. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 43*t. Let n(m) = 42*m. Let j(v) = 4*n(v) - 3*w(v). Let z be j(13). Let u(o) = -2*o. Let b be u(-2). What is the nearest to 1 in z, b, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 33. Suppose 4*o + m = -4, -3*o - 5*m = -k*o + 3. Suppose -8*l = -17*l + 18. Put l, -5, 1, o in ascending order.\nAnswer: -5, o, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 30?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.795 - 0.4.\nAnswer: -8.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152152, 304280, 456408, 608536, 760664?\n\"Answer: 152128*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 330520\/(-170) - -2*(1 - 2). Let u = -1948 - z. Find the common denominator of -11\/8 and u.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023028 is divided by 3851.\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*j = -5*p + 226, 2*p + 4*j = 98. Suppose -9 = 2*m - p. Calculate the remainder when 44 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. Find the third derivative of 28*r**6 - 14*r**d + 3*r**2 - 14*r**6 wrt r.\nAnswer: 1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z**2 + 36*z**2 - 6*z**4 + 4*z**4 - 214 + 203 - 4*z**3 to j + k*z**4 + f*z**3 + b*z**2 + y*z and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3857 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 s when four letters picked without replacement from qsqcpspesqqpqqqqcsc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.712483 rounded to zero dps?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Let p(b) = -3*b**2 + 5*b**2 + z*b**2. Let h(x) = 31*x**2. Give h(p(v)).\nAnswer: 124*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10061 + 2?\nAnswer: -10056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-8 - 3)) + -3 + 20 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/3))**4)**(2\/3)*(y**(-1\/2)*y**(1\/13))\/(y**(-1\/3)*y*y)**(20\/11) assuming y is positive.\nAnswer: y**(2551\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83592131.\nAnswer: 7, 349, 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30986, -32151, -34096, -36827, -40350?\n\"Answer: -z**3 - 384*z**2 - 6*z - 30595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhcbbbbbb. Give prob of sequence hhc.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/30)\/(-1))\/(8\/10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9060 - 61)*(1 + 0 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 3*c - 6*c)*(-2*c + 0*c + 4*c) + c**2 + 3*c**2 - 2*c**2 + (0 + 3 - 4)*(-c + c - 2*c**2) + 2*c**2 - c**2 - 2*c - 3*c**2.\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132187927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 6. Suppose -2 = 2*i - a. Calculate the greatest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-8 + -15) - (-60 + -4).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**2 - c - 2. Let a be k(3). Suppose -a = 5*p + 188. Let y = -39 - p. Calculate the common denominator of y and -15\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30592000 to the nearest 10000.\nAnswer: 30590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 87.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -679*v**5 + 25*v**4 - 9*v**2 - 325*v + 1 wrt v?\nAnswer: -40740*v**2 + 600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = -182379 + 39106. Does 132 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8409 and 7439162.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7957 + 7896 - 66*v + 7940 - 23793.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b. Let z(t) = 8*t**2. Let q(k) = 5*k**2. Let l(o) = 5*q(o) - 3*z(o). Determine y(l(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-18) - 16\/(-18). Which is the nearest to -1? (a) u (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 + 4*1. Let t = -5 + a. Solve 0 = -r - t + 1, 2*z - 2*r = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 + 5*m - 5. Let n(h) = 2*h**2 - 6*h + 1. Let r be (5\/3)\/(3\/(-9)). Let q(j) = -j**2 - 1. Let l(z) = r*q(z) + n(z). What is -6*k(y) - 5*l(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v\/(v\/(v*v\/(v\/(v*v\/(v*v**(1\/6)*v)*v)*v))))**(-42\/5)*(v\/v**(1\/6))\/v*v**(1\/4)\/v*v**(1\/3)\/(v**(-1\/7)*v) assuming v is positive.\nAnswer: v**(10567\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -11*r**4\/4 - r**3\/3 - r**2\/2 - r - 9. Determine x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 3*a - 2*a + 2*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4495*q**4 - 3218.\nAnswer: 17980*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7594, 15224, 22840, 30430, 37982?\nAnswer: 45484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(-2)\/12*4. Factor -j**3 + 5*j**3 + 0*j**4 - j**p - 2*j**2 - 2*j**2.\nAnswer: -j**2*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(11\/6)*w**(-3))\/(w**(1\/2)*w**(-14)) assuming w is positive.\nAnswer: w**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 2*o - 9*o to z*o + x and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 620*b**2*v**3 - 415*b*q*v**2 - q*v**3 + 2*q*v**2 + q - 419*v**3 - 27 wrt b?\nAnswer: 1240*b*v**3 - 415*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09987 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.026 in 0.02017, -5, 24?\nAnswer: 0.02017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 - 11*t. Let p(k) = 9059*k. Calculate p(h(u)).\nAnswer: 72472*u**2 - 99649*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10648 - 11200. Which is bigger: -554 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 3*q**2 + 5*q - 2. What is j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 + 2 - (-1 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeezeelzzeezzzze. Give prob of picking 2 z and 1 e.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -574 + 580. Which is the smallest value? (a) 1 (b) j (c) 5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*b - 340*b + 27 + 98*b**2 + 635*b.\nAnswer: 98*b**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*k = -5, -2*m + 4*k = -31 + 23. Solve m*p - 3*x + 3 = -6*x, -2*p + 4*x - 10 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 48. Suppose 4*g + v = 0, 0 = -2*n - 4*g + 2*g - 4. Suppose -6*p = -p - 10. Solve u - 3 = -n*r, p*r + 2*u + 17 = -3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198907787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/371 - 20413\/1484. Find the common denominator of q and -139\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0*j**3 + 0 - 6*j**2 + 0*j**6 + 0*j - 1\/8*j**4 + 0*j**5 + 4\/105*j**7. Find the second derivative of u(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35929605 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 38. Suppose -w*i + 0*i = -684000. Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.2. Let t = 3.3 - r. What is the closest to 2\/7 in -5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**5 + 88*q**4 + 376*q**3 + 640*q**2 + 484*q + 136 = 0.\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4 - 4 - 2*p - 2. Let t(s) = -s**3 - 3*s**2 + 5*s. Let x be t(-4). What is the units digit of z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 19 (b) 5 (c) 4 (d) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 612 - 596. Solve -m*x + o + 6 = 0, 0 = -2*x + 5*o - 0*o - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6*j = -8*j - 3, 2*j + 28 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x + 1. Let s be a(-2). Is (240\/(-9) + -2)\/((-2)\/s) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 37 = 3*f. Suppose 8*a - 10*a = -f. Calculate the greatest common divisor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*t = -5*i + 390*t + 33275, -i - 5*t = -6613. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, 1 in descending order.\nAnswer: 34, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 556*a + 559*a = -27, -2*k + 2*a + 42 = 0. Solve k*w = 19 + 35 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11*y + 5. Let m(u) = 5*u - 2. Suppose 6*b - 20 = 34. What is b*m(d) + 4*g(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(1\/2) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18 - -5 - -7 - -7. Let q = 32 + -28. Let m(z) = -z**2 - 8*z - 7. Let t be m(-6). Solve q*i + u = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(-1*sqrt(5) - sqrt(5) - sqrt(5)) - (-3 + 1 + sqrt(13)).\nAnswer: -4*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*w - 166*w = -12362 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*(25 - -3)\/(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 21*s**2 + 3*s + 25. What is u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -33.122.\nAnswer: -132.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 607 - -31. Let t = 1285 - m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 58*w**3 + 3*w**2 - 6*w + 1. Let q be (14\/4)\/(1\/2). Let a be r(q). What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 267.082 years?\nAnswer: 2.67082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 0, 5 in descending order.\nAnswer: 42, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millennium in years?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-1060)\/(-1431))*((-68)\/51)\/(2\/(-3))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-7 + 1 - -3)) + (4 - 5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1130333021 (base 4) to base 11\nAnswer: -240179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 10, 7, 548, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47053394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0\/h)**(-2\/67)*h**7\/h**7)**20 assuming h is positive.\nAnswer: h**(40\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -10*w + 2*w. Is 24 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/10 + 1*(-31)\/(-2). Let i(v) = -10*v**2 + 16*v - 16. Let p(g) = -5 + 6*g**2 + 5*g - 9*g**2 - 3 + 3. Determine n*p(a) - 5*i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, -2\/9, 1\/9, -242?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168.4252521ms to weeks.\nAnswer: 0.00000027848090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939 divided by -4516?\nAnswer: -2939\/4516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 16. Suppose i - 3*g = -1 + 2, 3*i + 2*g = -30. Let j be s(i). Suppose -l = -j*l. Is l >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, 2\/3 in descending order.\nAnswer: 3, 1, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.1 + 4. Let t = 0.5 + l. Let q = 0.3 - t. Put 5, -3\/4, q in descending order.\nAnswer: 5, q, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1561, -3640 in descending order.\nAnswer: 1561, -5, -3640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -185 + 204. Suppose 0 = -13*h + b*h - 246. Calculate the remainder when h is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4 + 0 + y - 3. Let p(i) = 6*i - 13*i + 1848 - 3699 + 1849. Determine -o(f) - p(f).\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -793*z - 134. What are the prime factors of g(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2*w**3\/9 - 458*w**2 + 15117. Factor t(m).\nAnswer: -2*m*(m + 1374)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -l*t = -6*t. Suppose -6*g + g + 110 = t. What is the lowest common multiple of 2 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-140*k + 48*k - 402 + 89*k)*(-4 + 3 + 2 - k) to the form p*k**2 + t*k + l and give l.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5608 divide 5581288807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985*b = 1975*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 51\/14)*39\/90. Let j = -1\/35 + z. Let t = -13.2 - -12. Which is greater: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 385*w**3 - 229*w**3 + 466*w**3 + 854*w**3 + 4 - 4 + w**3 + (-w**3 + 4*w**2 - 4*w**2)*(-2 + 1 + 5) in the form a*w**2 + t*w**3 + q + g*w and give t.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r**2 + 3*r**2 + r**2)*(r + 0*r + 2*r) + 2*r**2 - 2*r**3 - 2*r**2)*(4 - 4 - 2*r**2).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23*r + 6. Let s be j(4). Let w = 98 - s. Solve 2*z + 0*z + 8 = w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -75. Let t = 6.3 - 0.3. Let g = t - 6.03. What is the second biggest value in -1\/3, g, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 4*c**2 - c - 1. Let r be p(4). Let l(z) = z**2 + 4. Let k be l(0). Let g(d) = d + 1. Let x(o) = o + 1. Give k*g(t) + r*x(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 31*m**2 + 136*m + 1553. Let h(a) = -272*a**2 - 1224*a - 13976. Let s(t) = 5*h(t) + 44*o(t). Factor s(c).\nAnswer: 4*(c - 43)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-8)\/(-168)*(-30)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1477 and 2604518.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i + 14*i - 116*i**3 + 8 - 3*i**4 + 132*i**3 wrt i?\nAnswer: -36*i**2 + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303220330 + -122?\nAnswer: 303220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 0 - (-58 - (46 + -72))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -5.373654675.\nAnswer: -5.383654675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*l**2*r - 202*l*x**2 - 1429*r*x**2 with respect to l.\nAnswer: 12*l*r - 202*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112144509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865929862?\nAnswer: 2, 3, 593, 607, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/4 - m**4\/12 - m**3\/6 - 5*m - 16. Let k = 1 + -2. Let o be k + (2\/(-1) - -2). What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(12)*-1))\/((sqrt(70) + (sqrt(70)*3 - sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70))\/sqrt(7)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 249033 divided by 57\nAnswer: 4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -288416*l - 865252. What is c(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z**5 + 276*z**4 + 483*z**3 - 1833*z**2\/4 + 489*z\/4 - 21\/2 = 0. Calculate z.\nAnswer: -2, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 13. Let m be i(-17). Let r be 33\/(-11) + (m\/(-2) - -3). Which is greater: r or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**5\/60 - 7*s**4\/12 + 17*s**3\/3 + 13*s**2. Let g be j(-16). Solve 0 = -5*k - t - t + 23, 0 = -g*k + 3*t - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 21, 1740, -1 in descending order.\nAnswer: 1740, 21, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 - -220. What is the lowest common multiple of i and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103 + 12?\nAnswer: 12.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3503 - 3242. Sort 4, 2, g.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 894, 886, 866, 828, 766, 674, 546, 376?\n\"Answer: -p**3 - p + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 254 and 15113?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9524 - 1061. Does 201 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268871112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g + 4 = 0. Let b = 6 - g. Suppose b*f - 51 = f. What is the remainder when f is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*p = 33*p + 248 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -20\/602437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 57123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197501 and 8587.\nAnswer: 197501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67189 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 31*x - 41. Let t(j) = -34 - j**2 + 18*j + 14 - 33*j. Let l(z) = 6*n(z) - 13*t(z). Let c be l(-2). Solve w = -c*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wyykwkwfywwwf. What is prob of sequence wwy?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138490 by 10.\nAnswer: -13849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/207 and 41\/6620527.\nAnswer: 59584743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 7, j: 2}. What is prob of picking 2 j and 1 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d)**21*(d**1)**(-3)*(d*d**(1\/2))**(-43)*(d**(-1\/4))**(2\/97) assuming d is positive.\nAnswer: d**(-9167\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*p = -18*p + 54*p - 1072 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g - 5 + 161*g**2 + 5.\nAnswer: 161*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79253?\nAnswer: 41, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2. Suppose 9*c = 12 - 3. Let m(d) = -5*d - 1 - c + 9*d. Calculate m(s(o)).\nAnswer: -4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10316, 20633, 30938, 41225, 51488, 61721, 71918?\nAnswer: 82073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 31*n - 11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 - 19*p**2 - 25*p - 3. Give l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -159.41. Let l = f - -2.741. Let s = 0.150879 - l. Round s to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from {w: 3, u: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816326 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 848.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -2480765113236?\nAnswer: -2480765113236.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7135 and 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:01 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t + 4 = -2*r, r = -3*t - 12. Suppose -5*h - 15 + 57 = -4*v, 0 = -4*h + r*v + 33. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2307632 is divided by 375.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2175, 2182, 2193, 2208, 2227, 2250?\n\"Answer: 2*k**2 + k + 2172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160928 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -6*d. Suppose -5*s = 115 - 90. Sort -3, s, 3, d in descending order.\nAnswer: 3, d, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1005, 1014, 1035, 1074, 1137, 1230, 1359?\n\"Answer: j**3 + 2*j + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/47608 and 15\/8?\nAnswer: 47608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2)**(8\/5)\/(y*y*y**(-2\/15)*y**(-3\/7)) assuming y is positive.\nAnswer: y**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 + 10?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**5\/2 - 135*w**4 + 8853*w**3 + 27374*w**2 + 55293*w\/2 + 9261 = 0.\nAnswer: -1, 126, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*g**2*v**2 - 8*g**2 - g*l + 1151*l*v**2 - 19*l*v wrt g.\nAnswer: 74*g*v**2 - 16*g - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 33. Solve 3*n = d - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -2 (c) -0.2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 77*z**3 - 75*z**2 - 32*z + 16031. Let g(m) = -26*m**3 + 24*m**2 + 10*m - 5344. Let o(c) = 5*d(c) + 16*g(c). Differentiate o(k) wrt k.\nAnswer: -93*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10334*h - 10334*h + 246*h**2 in the form d*h**2 + p*h + w and give d.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 13 = b, -2*z + 18 = 2*b - z. Let t be b + -4 - (1 + 0). Solve -2*s = -t*x - 6, 3*x = -2*s - 0*s + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66554093?\nAnswer: 19, 3502847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714e7d (base 16) to base 15.\nAnswer: 9ba2e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -128 + 32. Let g be (-3)\/5 - n\/15. Suppose -3 = -p - g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -10952\/19 - 294\/19*l**4 - 10656\/19*l + 11246\/19*l**2 + 2\/19*l**5 + 10654\/19*l**3 = 0. Calculate l.\nAnswer: -1, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1748586 by 6.\nAnswer: -291431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 85?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13915 = 4*a + 2*o + 3341, -2633 = -a + 3*o. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ete when three letters picked without replacement from {n: 1, t: 3, j: 1, e: 5, q: 1, u: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.058 and 356.6.\nAnswer: -20.6828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 10*g**2 + 6. Let p(c) = -c**3 + 9*c**2 + 5. Let o(x) = -5*k(x) + 6*p(x). Factor o(z).\nAnswer: 4*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*b - 11, -3*b + 3 + 10 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 4, 2\/15, -4, 32, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -66. Sort -2\/9, 2\/15, 3, p in decreasing order.\nAnswer: 3, 2\/15, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/30*-2)\/(198\/33)*30\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/27 - 136\/(-114))*132\/660?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 45 = 5*r, -2*z + 8 = 4. Suppose -10*g = -r*g + 201. Calculate the highest common divisor of 134 and g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*o**2 - 163*o + 5 - 12 + 162*o in the form l*o + b + n*o**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-150)\/125?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 - 64. What is the remainder when a is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701533.\nAnswer: 11, 336503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99907 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15 - 5*u + 6 + 121 + 73 + 2. Is o(-13) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 224. What is the highest common divisor of s and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 + o - 7. Let p(b) = 2*b - 3. Let x be p(8). Let q = 7 - x. Let v(d) = 3*d + 13. Let u be v(q). Calculate c(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmvvkmkvvvkmaqmmaa. Give prob of picking 1 q, 1 a, 1 m, and 1 k.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-4)\/(-1)))\/(6\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 + 5. Let t = 23 + -22. What is the nearest to l in -4, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 203024, 406198, 609372, 812546?\n\"Answer: 203174*q - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 170 (b) -4 (c) 2\/13 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 10:37 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 17*v - 36. Let b be a(-19). Let r = -1 + 3. Let q(n) = n**r - n + n**2 + 1 - 3*n**2. What is q(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6721308 times 11\nAnswer: 73934388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 96\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9201325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:01 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 - (-19 + 18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 506?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10068 - -10131. What is the least common multiple of k and 96?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 0)\/(216\/(-27) - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-8) - (-2)\/8. Suppose 2 = -5*l + 13 - 1. Solve -l*h = -0 - v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 42. What is the remainder when -2 - (-2 + 0 - 24) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = 8, 4*c - 12 = 4*k. Let z(p) = -7*p + 14*p - 5*p - 14. Let a be z(c). Solve a = 5*f - 2*f - q + 1, 3*f + 5 = -q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/4, 2, 0.03, 0.1, -0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 741 and 156?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y + 24. Suppose 0 = 9*c - 6*c + 9. Let r(h) = -6*h + 5. Let q(i) = 2*i - 2. Give c*r(u) + y*q(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124126, 128333, 132540, 136747, 140954, 145161?\nAnswer: 149368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 30. Let i(d) = 3*d**3 - 6*d**2 + 6*d - 1. What is the lowest common multiple of t and i(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1263 + -1269. Put 0, 3\/10, y in increasing order.\nAnswer: y, 0, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than 368\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -158*(-4 - (1 + -4)). Let l(k) = -157 + 0*k + 313 - m - 9*k. Give l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5744716313 - -0.14\nAnswer: -5744716312.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8380 = 112*q - 54*q + 2638*q + 1494*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32011 - 12113?\nAnswer: 13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6678762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*p**2 + 49*p**3 - 17*p**3 + 22*p**5 + 7 + 46*p + 94*p**4 - 1 - 16*p**3 + 140*p**3.\nAnswer: 2*(p + 1)**4*(11*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 42 = -133 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1363, -1368, -1375, -1384?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -15*g**3 + g. Let z(d) = -61*d**3 + 4*d. Determine -9*c(x) + 2*z(x).\nAnswer: 13*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6391*r**2*u**3 + 11*r**2*u**2 + 13*r**2*u + 9*r**2 - 338*u**3 - 16 wrt u.\nAnswer: 38346*r**2 - 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l**(-5)*l*l*l*l\/l**(-14)*l**(-19\/3)*l**(1\/16) assuming l is positive.\nAnswer: l**(467\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 42*g - 151*g + 94*g to the form b + o*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-18))\/(32\/(-12)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 1432*v**3 + 1432*v**3 - 4265*v**3 + 1404*v**3.\nAnswer: 3*v**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*q + 21 + 10 = 0, 0 = -4*i + q + 20. Sort -179, -3, i, 2\/3 in descending order.\nAnswer: i, 2\/3, -3, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 42*n**2 + 26*n + 757. Determine k(-43).\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/((-274)\/((-2686296)\/258)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**3 + 5*y**2. Let o(s) = 14*s**3 - 15*s**2 + s. Let h(d) = -4*o(d) - 11*w(d). Suppose 0*p + 6 = 3*b + 3*p, 4*p + 16 = 4*b. Determine h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 24, 7*i - 8*x = -3*x + 30 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -7, -0.5, 2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*k + 15, -6 = k - 3*k + 3*p. Let f be (-8 + 17)*(-4)\/3. Let l be (-3)\/f - 75\/(-20). Solve -k*m = -m - 2*h + 2, -l*h + 8 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 8*z + 6. Let p(d) = 5*d - 2*d - 4*d + 6. Let f be p(12). What is y(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 32. Let f be h(-15). Let k be 16\/(-2 - 2) + f. Suppose -3*z = 3*i - 72, -4 - 16 = -i - 3*z. Calculate the greatest common factor of i and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 105. Suppose 0 = 5*a - 4*j - 125, -q*a - 2*j + 53 = -3*j. Calculate the highest common factor of a and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 18, -2\/21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 206, 1 in descending order.\nAnswer: 206, 1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**4 + 21*b**3 - 49*b**2 + 57*b - 28. Let l(m) = -m**4 + 20*m**3 - 49*m**2 + 57*m - 27. Let q(d) = -6*l(d) + 5*u(d). What is n in q(n) = 0?\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 21472985*y.\nAnswer: -y*(y + 21472985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.0452\nAnswer: 3.9548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751614668 to the nearest integer?\nAnswer: 41852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 3526?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-289 + 11)\/((4 - 570\/145)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h + 3. Let u(x) = 3*x - 2. Let b be u(2). Is g(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8339775 and 136.\nAnswer: 66718200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - o = -4*o + 11217, -4*o + 28046 = 5*w. Let r be (-10696)\/w + (-8)\/(-4). Let i = r - -4\/165. What is the second smallest value in 0.2, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + w - 1)*(30*w + 77*w - 2*w) as r + s*w + z*w**2 and give z.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 7*w**2 + 6*w + 4. Let o be n(-6). Suppose o*h - 56 = 2*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -2*y**3\/3 - 1650*y. Let g(h) = 2*h - 17. Determine g(r(b)).\nAnswer: -8*b - 17","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.23, 0.5, 3\/10, -19.048, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 + d**4\/24 - d**3\/6 - 90*d**2. Let n(x) = -4*x**3 - 2*x**2 + x - 2. Calculate -n(q) + 2*p(q).\nAnswer: 4*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1274448 and -43\/14974764.\nAnswer: 59899056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -12. Let v(h) = -h**2 - 11*h - 6. Let k be v(m). Which is the closest to 0? (a) 0.5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5753.1 - 5753. Let m be (-4)\/6 + 16\/27. Which is the closest to u? (a) 0.2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122220200021 (base 3) in base 16?\nAnswer: 15993a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -29*m + 4 + 0 - 18*m - 3. What is the units digit of v(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -120*((0 + -2 - -4) + 344\/(-86)). What is the highest common divisor of 432 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + -44 + 122 + 60.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4162\/12495 + -1\/4165. Which is the nearest to -1? (a) 0.2 (b) h (c) -6 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -4 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-7)\/a*a))\/a*a)**(-16\/11)*(a**(1\/3)*a)**(-8) assuming a is positive.\nAnswer: a**(-736\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 2*b**2 - 5*b + 2. Let t be n(-4). Let j be (-7)\/28 + (-39)\/4. Is t <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.84757g to kilograms.\nAnswer: 0.00284757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-7))\/((-210)\/2940) and 1096?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/69 and 1\/69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*c + 55 = 0, -5*c + c = -2*a + 34. Solve 0 = -3*w + m + 5, -w = m - 4*m - a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/17 + 0\/(-4) - -67*(-247)\/33098\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*x - 403125 = 1660*x for x.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - m + 92 = 0, -n - 11*m + 44 = -20*m + 9*m + 3*m for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + 10*b**3 - 5*b**3 - 6*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1733*q - 15610. What is p(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12)*(-1 + -7))\/(-56).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-3 - -7) - -56. Suppose 123 = 5*z + k - s, -4*k = 4*z - 156. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(2\/33*-3). Let o = t + 56. Suppose 0 = 5*l - 4*l - o. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117722 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -1. Let n = -7.19 + 4.2. Let t = n + -0.01. Which is the closest to 0.1? (a) -5 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 426 = -4*d + 2*a, 0 = 3*d - a - 322. Let w = d - 107. Solve 2 + w = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14531741*h**2 + h - 1. Let m be v(1). Let d = m + 25871535. Let c = -5339794 + d. Round c to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/((sqrt(70)*4 + sqrt(70))\/sqrt(7)))**2 + 4 - ((-5*sqrt(84)*-2 - sqrt(84)) + sqrt(84))\/(sqrt(96)\/(sqrt(8) + 1*sqrt(8) + sqrt(8) + sqrt(8))).\nAnswer: -40*sqrt(7) + 107\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*x, 0 = -5*m - 4*x + 2 + 26. Suppose -3*h - i = -13, h + 10 = -h + m*i. Factor 0 - 1\/2*b**h + 1\/6*b**2 + 1\/3*b.\nAnswer: -b*(b - 1)*(3*b + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2003 (base 8) to base 2.\nAnswer: 10000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.41*-33.\nAnswer: 640.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 126485857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 11*v + 15. What is the units digit of n(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4425 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10))**(-10)*(z*z*z\/(z\/z**12))\/((z*z*z**(-37))\/z*z))**19 assuming z is positive.\nAnswer: z**2831","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271 + -191. Let b = u - 79.99957. What is b rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 4428*g - 347839. Calculate j(80).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 53064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 635 + -537. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b. Suppose 5*m = -b*m + 895. Suppose -4*u - 109 = -4*c + c, m = 5*c - 4*u. Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 3:21 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 250 and -5.9.\nAnswer: 244.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22802 - 22802.000035743. Round z to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**4 - 20571*r**3 - 64416*r**2 + 119100*r + 183600 = 0 for r.\nAnswer: -4, -10\/9, 2, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 10, -3, -6079?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 86\nAnswer: 5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**5\/30 + 7*r**2\/2 - 1. Let h(y) be the second derivative of v(y). Let p(k) = 23*k. Calculate p(h(i)).\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(3) + 1 + 2*(sqrt(18)\/sqrt(6))**2 + (3*(-1*sqrt(6) + sqrt(6)) + sqrt(6))\/(-4*(sqrt(2) + (sqrt(2) - sqrt(2)*-1))) + -1.\nAnswer: 1 + 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = j, 2 = q + q. Let b(t) = 2*t**3 - 2*t**2 + 4*t - 1. Calculate the remainder when b(j) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1051? (a) -2\/13 (b) 0.2 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -230764320 divided by -8?\nAnswer: 28845540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7824 + -7819. Let u(d) be the first derivative of -4*d**3 + 0*d + 0*d**4 + 0*d**2 + 19 - 2\/3*d**6 + 0*d**l. What is the third derivative of u(m) wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + -16 + 1 + (-5 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76.7 + -77. Let j = -2.3 - -0.3. Suppose -8*d + 7*d - 1 = v, -5 = -4*v - d. What is the closest to z in -1\/3, j, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*a**6 - 3*a**5 - 3091*a**2 wrt a?\nAnswer: -3960*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:23 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15488.337 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29667, -29662, -29657, -29652?\n\"Answer: 5*d - 29672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - 2*t**3 + 3*t**2 + 4*t**3 + 0*t**3 - 6*t**3 + (t + t**2 - t)*(-t - 3*t + 3*t) + 2*t**3 + 1 - 1 - 2 - 2*t**3 + 2 + 9*t**3 + 8*t**3 - 11*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -13224304?\nAnswer: -13224303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*o, 33*o - 16*g = -11*g + 162. Solve -o = -4*z, -5*j = -5*z - 6 - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 21*g - 25. Is n(-9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*m + 21571 = 692*m + 319*m for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14700 is divided by 452?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*c + 28*c**4 + 21*c + 47*c**4 wrt c?\nAnswer: 900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j - 15. Let t(i) = -7*i + 5. Let l(v) = -4*c(v) - 11*t(v). What are the prime factors of l(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*l + 40 = 0, 1115*t - 8 = 1116*t + 12*l for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34535 (base 6) in base 7?\nAnswer: -20306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/7, 12052\/9, 1?\nAnswer: 12052\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7703, 1506, 1 in descending order.\nAnswer: 1506, 1, -7703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 253249 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-482085)\/630 - (-2)\/(-7). Let v be -3 - -1*2308\/(-3). Let g = v - q. Calculate the common denominator of g and 30\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 18 - 8, 8 = 3*f + 2*t + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 595, -97, -5 in decreasing order.\nAnswer: 595, 4, -4, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*274009.\nAnswer: 82202.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64680\/10868 + -6 - 4\/(-26).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2729551 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(13515\/(-3405) + 4) + (0 - 16\/(-28)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 8, 6 in descending order.\nAnswer: 8, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 3*z**2 - 2*z**2 + 3*z**2 + z**2 - 3*z**2 + (6*z - 3*z - 2*z)*(-2 + z + 2) - 5*z**2 + 2*z**2 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3473 + 3773 = 5*m. What is the remainder when 426 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 12*y + 2*p = -26, 15 = -5*p. Let u(m) = 3*m + 4. Calculate u(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 937079*h**4 - 800198.\nAnswer: 3748316*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*b + 145, -3*b + 3*a + 87 = 8*a. Solve b = -3*p + 38 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1114430689 to the nearest integer?\nAnswer: 33383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:12 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let w(g) = 5*g**2 - 3*g. Let q(j) = 6*j**2 - 4*j. Let f(v) = -3*q(v) + 4*w(v). Calculate d(f(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 220*n + 137100 = 217*n, -5*u + 3*n + 171378 = 0. List the prime factors of u.\nAnswer: 2, 3, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274b5d (base 15) to base 13\nAnswer: 511b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, a: 2, x: 3, o: 1, s: 4, p: 5}. Give prob of picking 1 o, 1 a, and 1 i.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + 3 + sqrt(396)\/sqrt(36)*-2 + -5.\nAnswer: -2*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(104))\/sqrt(8).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 5, a: 4, m: 1, n: 1, w: 1}. Give prob of sequence qn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1309 - -1325. Let i(w) = -w - 13. Determine i(x).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-333)\/63 + 5 - 47310\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101 and -22?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*m - 11 = -m, i = -3*m - 7. Suppose v + i*v - 52 = -a, -100 = -5*v + 5*a. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 1\/3, 2\/3, -0.4 in increasing order.\nAnswer: -0.4, -0.04, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from {v: 3, q: 1, o: 4, k: 8, u: 3}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9383200 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -188*g + 191*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.128840618 - -5051.698660618. Let b = t - 5039.57. Let d = b + -12. What is d rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 - 11 = -42*w + 2 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48151789, 48151719, 48151603, 48151441?\nAnswer: 48151233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(986\/1595)*(-12)\/(-33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t + 10. Let z be l(0). Solve s + 5 = 0, -z = -5*d + 4*s + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -7*i**4\/6 + 51*i. Let p(u) = 5*u**2. What is j(p(h))?\nAnswer: -350*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53091470 and 670.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 69*n - 1)*(-252*n - 206*n + 401*n) to the form a*n**2 + b*n + c and give a.\nAnswer: -3933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Suppose h - 4*t + 25 = c, -15 = 3*h - 3*t + 15. What are the prime factors of 3\/h - 759\/(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*c = -29, -g - 5*c + 3 = -0*g. Suppose 10*k - g*k = -360. Is 15 a factor of (166\/(-6) - -1)*k\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7181*v + 7168*v - 18 = -k - 4, v + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15144 divided by 2524?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*j**5 + 7653869*j**4 - j**2 - 561203*j - 84.\nAnswer: 960*j**2 + 183692856*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*t - 5*t. Suppose t = j - a + 6*a, 0 = 4*j + 5*a - 18. Suppose -3*h = 2*s + s - 102, -148 = -4*s + j*h. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbubbubbbububub. What is prob of picking 1 u and 1 b?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by -68\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -8. Let a be 60\/2 - (-9 - h). Let k = 47 - a. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587*x + 27 = -q + 582*x, -18 = -2*q + 2*x. Let p(h) be the first derivative of -4\/7*h**4 - 15 - 4\/35*h**5 + 0*h - 4\/7*h**2 - 20\/21*h**q. Factor p(s).\nAnswer: -4*s*(s + 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/165 - 19*t**5\/110 + 4*t**4\/3 - 33*t + 64. Factor r(h).\nAnswer: 2*h**2*(h - 11)*(h - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338926 by 43.\nAnswer: -7882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11297*f + 5635*f + 448 + 5648*f.\nAnswer: -14*f + 448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 282 - 282. Let o be ((-24)\/16 + 2)*i. Solve o = -5*a + 15, -2*z = 2*z - 5*a + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137342?\nAnswer: 2, 43, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 + 357. What are the prime factors of q?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-2 + -4) - (5 - (-5 - -6)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 559107097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4492*m**2 - 624*m**2 + 349*m**2.\nAnswer: -4767*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34976090*i**3 + 32*i + 446103 wrt i.\nAnswer: 209856540*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/42 + 64*u**3\/21 - 272*u**2\/7 + 5052*u. Factor c(i).\nAnswer: 2*(i - 4)*(i + 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = h + 2*g + 3*g, -522 = -4*h + 2*g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26 - -13)*(-1 + 0). Let i be 26\/20 - c\/26. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.36*-0.1\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77.25 * -631.\nAnswer: 48744.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113285325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 740*x**2 - 432768*x - 35117136.\nAnswer: 4*(x - 461)*(x + 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -7. Let c = 5 - x. List the prime factors of 7*c*(-1)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1297, -1157, -1017, -877, -737?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 (base 11) in base 5?\nAnswer: -3013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53402, -106802, -160202, -213602?\nAnswer: -267002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47 times 1?\nAnswer: 2.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4281726?\nAnswer: 2, 3, 19, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*1*47\/2820*4230\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byzb when four letters picked without replacement from {b: 2, w: 1, y: 4, k: 1, z: 10}?\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/9)\/(-5)*(729\/(-108))\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6305*n + 388. Let f(k) = -97*k - 6. Let l(o) = o + 19. Let a be l(-16). Let r(t) = a*s(t) + 194*f(t). Let j(i) = -i**2. What is r(j(b))?\nAnswer: -97*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 14*w**2 + 86*w - 596. Calculate a(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 24*m**2 + 300*m + 994. Let l(d) be the first derivative of -d**3\/3 - d - 29. Let g(n) = c(n) - 6*l(n). What is h in g(h) = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -10 + -2 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3640, 13699, 30478, 53983, 84220, 121195, 164914, 215383?\nAnswer: 272608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*u - 5*c, -u + 2*c = -2*c - 15. Suppose -15 = -3*x - 0. What is the highest common factor of x and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84983979.\nAnswer: 3, 19, 263, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o - 8. Let y be k(3). Suppose f - l - 1 - 1 = 0, -2*f = -y*l - 10. What are the prime factors of (-47)\/((-2 - -1) + -1 - f)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 + 102*t - 136. Let l be y(32). Solve -l = 54*k - 62*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -77, -58, -21, 40, 131, 258?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47342, -189410, -426190, -757682, -1183886, -1704802, -2320430?\nAnswer: -3030770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -13\/67, 1\/128 in decreasing order.\nAnswer: 1\/128, -13\/67, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Let x(y) = -3*y**2 + a*y**2 + 3*y**2 + y**2. Let l(s) = -s**2. Give l(x(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*z - 32 = -2*d, -3*z = 3*d - 102. Let r be (207\/z)\/((-2)\/(-48)). Factor r - 5*a**3 - 138.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - -67. Suppose -4179 = -741*l + 2003 - 1715 + 720. Calculate the least common multiple of l and p.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 - 387. Let m(b) = b - 1. Let d(a) = 10*a - 5. Give l*m(u) + d(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 280 - 3078\/11. Let y = 4.93 + 0.07. Let z = 4 - y. Which is the nearest to z? (a) 0.2 (b) 4\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3579132526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39bb5 (base 14) to base 8\nAnswer: -425663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/70 - 177*v**6\/20 + 178*v**5\/5 - 22*v**2 - 108. Suppose q(u) = 0. What is u?\nAnswer: -356, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7*n. Suppose n = 5*m - 2*m - 246. List the prime factors of (m\/(-6))\/((-1)\/3).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(306)*5)\/(sqrt(72)\/sqrt(48)))\/(5*(-1*sqrt(3)*-2 - sqrt(192)*-2)).\nAnswer: -2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -2\/3 (c) 23 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x - 7 = 5*u, 3*u + 1 = x. Let k be x\/(-3)*(-18)\/12. Suppose -10 = -k*r - 0*r. Solve -r*i - 4*n = -21, 3 = -5*i + 2*n - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1b0 + -9a?\nAnswer: -c27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -77*u**2 + 11*u + 29. Let o(s) = 39*s**2 - 6*s - 16. Determine -4*i(n) - 7*o(n).\nAnswer: 35*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-46)\/(x\/x**(11\/5)))\/(x**(-29)\/x**(-1\/43)) assuming x is positive.\nAnswer: x**(-3402\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(-4 + 3 - 1) + (-3*l + 3*l + 4*l)*(10 + 5 + 30) + (-2 + 2 - 1)*(3*l + 0*l - l).\nAnswer: 176*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -2 (c) 1 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 12. Let s be v(-1). Let k = -1 + 0. Let j be -3*k\/(6\/(-4)). Which is the biggest value? (a) -3 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r + 15. Let g(v) = 12*v + 14. Let o(h) = 3*g(h) - 2*y(h). Let s = 68 + -47. Calculate the remainder when o(4) is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -8955?\nAnswer: 8956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1540828.71ns?\nAnswer: 0.000000017833665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*s - 261 - 1905 - 1530 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -527*n + 529*n - o, 3 = -3*n + 2*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4*134.3829\nAnswer: 537.5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -60. Suppose -q*v = 3 - 12. Suppose 3\/2*i + 3*i**4 - 3\/2 - 15\/2*i**v + 9\/2*i**2 = 0. Calculate i.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13921\/513 - -29\/27. Which is greater: u or 28?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 208, 312?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**11\/i)**(9\/2) assuming i is positive.\nAnswer: i**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**5*s - 5679*h**2*s**2 + 25*h*s + 8*h - 26*s**2 wrt h?\nAnswer: 40*h**3*s - 11358*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12063 - 824.\nAnswer: -12887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:22 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4) - ((-674)\/(-184) - (-14)\/161). Put 5, -2, -5, m in increasing order.\nAnswer: -5, m, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 8*k - 8*k + (-k**2 + 5*k**2 - 2*k**2)*(-7 + 2 + 2).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*n = 119*n - 102*n - 19902. Solve 0 = -105*r + n*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60 - -11?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, 5, -16, 4 in decreasing order.\nAnswer: 5, 4, -5, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w**3 + 9*w**2 + 15*w + 5. Let a be (-1995)\/(-147) + 3\/7 + 0. Suppose -c - 10 = 8*t - 7*t, -5*t + 4*c = a. Is v(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 126.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + o = 9, 74 = 6*i - 7*i + 4*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 48. Let g be 14\/4*c\/(-14). What is the units digit of -8 - -4 - -2*g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 71*b**2 - 1281*b + 885. Determine d(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4933070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:21 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111877817 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r + 113 = 218. Solve 4*y = r*g, -y - 7 = 3*g - 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 4\/3, -5, 2 in decreasing order.\nAnswer: 2, 4\/3, 2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 21 + 1. Let c = 6 - r. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 + 119 = -5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:06 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/68? (a) -29.7 (b) -7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1. Suppose -154 + 181 = -9*k. Let s(f) = 9*f - 4. Determine k*i(m) - s(m).\nAnswer: -9*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(25\/3)*(t\/t**(-1\/5)*t)\/t)**(-4\/7) assuming t is positive.\nAnswer: t**(-572\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 1 - (4 + 2*-475). What is the second derivative of -z*v**5 + 917*v**5 - 11*v + 37*v wrt v?\nAnswer: -560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427595891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/11 + ((-18090)\/231 - -84)\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 102, 243, 440, 693, 1002?\n\"Answer: 28*c**2 + c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/10, -4829, 0.08, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*i - 201 - 4*i**2 + 0*i**2 + 8*i**2 + 237.\nAnswer: 4*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 7*h - 11. Let u be j(9). Let s be (-1 - 3)\/(-8 + u). Solve -5*q + 4*i = 19, 3*q - 4*i + 1 = s*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 - b + 1. Let j = 75 - 74. Let z(f) = -12*f**3 + 6*f**2 + 6*f - 6. Calculate j*z(n) + 6*p(n).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022448 to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 386 = -181*t + 1265 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3534 - 15830 = -474*c + 5401 + 11691 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514682?\nAnswer: 2, 7, 97, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(84\/(-28) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 2:23 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677728 is divided by 435?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 30 = -2*x, -4*x + 0*x + 30 = u. Let o = 64 + 36. Calculate the highest common factor of o and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4939107 is divided by 319?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8939 * 60.\nAnswer: -473.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + -10.8. Let d = -11.99999932 - c. What is d rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-50738)\/(-69))\/((-13)\/((-585)\/(-6))). Which is smaller: -5514 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 + 9*h + 39. List the prime factors of w(-5).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70085279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j = -57*j + 9*j - 594 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 6, 5, 4 in increasing order.\nAnswer: 4, 5, 6, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -1.43?\nAnswer: -0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 33?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2 - 21*w + 27. Let y be t(2). What is the highest common divisor of y and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651168026 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: Suppose 5*w = 9*w - 8. Let z(x) = 8*x + 2*x**w + 5 - 3*x - 2 + x. What is the units digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (7 - (4 - 19)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -12. What is the smallest value in t, -2, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 9*i - 106. Let o be u(7). Suppose -n + 108 = -5*n. What is the tens digit of (-357)\/(-27) + o\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/710? (a) -2 (b) -50 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 - 4*g**2 - 13*g + 3. Let l be i(-3). What is the tens digit of l\/2*(-230)\/(-69)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 18)\/((-2)\/(-3)) is divided by 6\/(-39) + 119\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 166, 5 in increasing order.\nAnswer: -2, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.41 - 0.4.\nAnswer: -4.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 - 12 - c - 8 + 20 as y*c**2 + z*c + r*c**3 + l and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.035 - -0.375. Let y = -0.01 + z. Let h be ((-4)\/(-42))\/((-5)\/15). Which is the closest to 0? (a) h (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51590 by 385.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(2299) + 5 + -5 + 2)**2.\nAnswer: 22*sqrt(19) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -41\/112 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2755a9 (base 15) to base 9.\nAnswer: -3502316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 2*v - 3. Suppose 0 = 94*f - 106*f - 72. Let c be 3 + (f - (-8 - -7)). Calculate j(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2\/129, -727?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 7*g**2 + 103*g - 665. Calculate b(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 237 - 237.2. Let x = -1 - -1.4. Let f = x - 0.4. Which is the closest to g? (a) 1\/3 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-14)*(-2)\/6*(-30)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*w + 13, 0*i + 4*w = i - 7. Let z(l) = -l + 6. Let c be z(9). Put i, 1, c in decreasing order.\nAnswer: 1, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntqnech. What is prob of picking 1 h, 1 q, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1073 + 1073 + 839*x)*(-3 + 3 - 2).\nAnswer: -1678*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -87112.61 to the nearest one hundred.\nAnswer: -87100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.469 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -10. What is the third derivative of 3*r**3 - 6*r**3 + 2*r**m - 4*r**2 + 2*r**3 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 5:52 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 7 = 5*l. Suppose 5*i - 13 = l. Suppose 0 = -i*h - t - 0*t + 20, -4*t = -3*h + 15. Solve h*g = -2*n + 21, -5*g + 2*n = -0*g - 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 40*w**2 + 310*w + 279. Let d be v(-46). Is -1287 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/230*5*8\/(-1*60\/(-24))\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) -5 (c) -1\/2 (d) -139\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651318?\nAnswer: 2, 3, 108553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 2006.\nAnswer: 2005.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 1. Let v(f) = -30*f**2 + 27. Let n(j) = 18*q(j) - v(j). Find the first derivative of n(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -25*z - 172. Let a be q(-7). Suppose -12*h + 9*h = a. Put 0, 52, h in ascending order.\nAnswer: h, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 22. What is the third derivative of 6*l**2 - 3*l**5 - u + 1 - 2*l**5 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131 and 29737.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 + -47 + -7 - 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 3*g + 18. Let v be j(5). Solve f = 4*p - 5 - v, -4*f = -2*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-1)\/(-8)). Suppose -y = y - k. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7524049*l**3 - 6207409*l**2\/4 - 78690*l - 900 = 0. Calculate l.\nAnswer: -60\/2743, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268812564.\nAnswer: 2, 3, 41, 546367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 2*n - 5 + 18 - 11. What is the least common multiple of 3 and y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.2 - 33. Is y at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 13*y + 109. Let s be z(20). Is s != -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17867850 and 1050.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1120, -2214, -3308, -4402, -5496, -6590?\n\"Answer: -1094*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 2*sqrt(720))*2)**2.\nAnswer: -20736*sqrt(5) + 416016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*t = 25. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 + n**2 + 97*n - 201. Calculate i(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*n + 228*n + 275*n)*(2*n + 2*n - 2*n)*(-n - 2*n + 4*n).\nAnswer: 632*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_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: What is the remainder when 497 is divided by 345?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 15*v + 0*v = 2618. Solve -2*y - 127 = -v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddd. Give prob of picking 2 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = a - 2*a, 10 = 5*a. Let i = 36 + -31. Calculate the remainder when l is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23217005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r - 939. Calculate q(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 464 + 306 = 0. Let f(h) = -h**3 - 4*h**2 + 4*h - 4. Let n(y) = -15*y**3 - 55*y**2 + 55*y - 55. What is u*f(w) + 4*n(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -33*s**2 + 2*s - 56. Let o(x) = -2*x**2. Determine v(o(z)).\nAnswer: 132*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 19 + (-16)\/(8\/(-2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 1706. Let t(u) = -291*u + 5. Let m(s) = -116*s + 2. Let d(w) = -5*m(w) + 2*t(w). Give n(d(g)).\nAnswer: -4*g**2 - 1706","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -662*s + 2809. Give z(13).\nAnswer: -5797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32130 and 40.\nAnswer: 128520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 30 = 59*m. Solve 0 = -m*w + 4*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/16)\/((1023\/217)\/((-8)\/(-14))).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22 - 5 - 7)\/((-4)\/(-2)). Solve 3*w - l = g + 2, -5*w - g + 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 13 = -2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20137401 divided by -3.\nAnswer: -6712467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5152644 and 4116?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7*l + 40 = 0. Solve -o = -l*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372 divided by 4.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -1, 4, 37, -111, 0, 6 in ascending order.\nAnswer: -111, -84, -1, 0, 4, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(117)*2)*5.\nAnswer: -25 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53418450 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 8. Let v be a(-6). Let o(t) = t**2 + t**2 + 2*t**v. Let q(k) = -66*k + 72. Let p(i) = 8*i - 9. Let j(d) = -40*p(d) - 5*q(d). What is o(j(f))?\nAnswer: 400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5495, -10998, -16501?\n\"Answer: -5503*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223972 = -4*u - 3*u. Is (-2)\/10*-1 - u\/95 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*-15*(-11)\/(-330)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and -3391?\nAnswer: 162.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/27 and -107\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46224 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 - 4542\/19. Let c be (3\/6)\/((-3)\/138). Let l = 22 + c. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, g: 10}. Give prob of picking 3 g and 1 y.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.6335nm in kilometers?\nAnswer: 0.0000000006206335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1045, 3 in decreasing order.\nAnswer: 1045, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21131 (base 4) to base 11.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*n - 300. Suppose 3*r - 70 = -y + n, -2*y = r - 58. Factor 21*g**2 + 4 - g**3 - r*g**2 + 4*g + 18*g**2 + 14*g**2.\nAnswer: -(g - 2)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -532923*a. Let b(w) = -4*w**2. Give k(b(p)).\nAnswer: 2131692*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c)*(0 + 0 - c) + (5*c + c - 4*c)*(-6 + 2 + 7)*(0 + 0 - 2*c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3110c (base 15) to base 12\nAnswer: -75b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43088 - 131608 = 1766*y + 447*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.12 - -0.12. Let a = -26 + 28. Let o = q + a. Is 2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 11*f = -2, 0 = -h + 60*f - 63*f + 2 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 49. Suppose 0 = -o*t + 7*t + 15. Let n(p) = p**3 - 6*p**2 + 7*p - 3. Give n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3914724 by -564.\nAnswer: 6941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/23 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (15 + 6 + -9 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose 0 = l*x + 3*b, 4*x + b = -0*b + 6. What is the second derivative of i**x - i**2 + 160*i**3 - 161*i**3 + i wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/9 - 250\/(-3 + -22)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -119, 1\/3, 0.2284, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 11:21 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-12))\/(2\/2). Let m(c) = 2*c**y + 6 - 5 + 2*c + 6 - c**2. Suppose -p + 2*p = -1. Let l(z) = -1. Calculate p*m(i) - 6*l(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/233 or 0.81?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 471*g**2\/2 - 256646*g - 256410.\nAnswer: (g - 990)*(g + 1)*(g + 518)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1259 + 1258. Let s = 0.1 - 0. Which is the closest to 0? (a) n (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/227 + -747\/2497. Let v = 766253434\/306845 - 20\/61369. Let k = v - 2507. Calculate the common denominator of c and k.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.366 times -2257\nAnswer: -826.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from {f: 1, g: 6, i: 5, e: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**5\/30 + n**4\/8 + 5*n**3\/6 + 536*n**2. Let d = -5 - -9. What is u(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2203, -2285, -2413, -2581, -2783, -3013, -3265?\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/364)\/(10\/(-195))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*m - 18 = -2*x, 2*m + 23 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkh when three letters picked without replacement from {y: 1, k: 4, h: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (4 + 3 + 2 + -47)) + -4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 3:09 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73612647.\nAnswer: 3, 37, 221059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 782457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v + 5. Let k(r) = -24*r - 16. What is 16*g(u) + 5*k(u)?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 26119*h - 339230. Give z(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5058 - -24605. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -135*m + 404. Let p be g(3). What is the nearest to p in 2\/3, -6, -13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (1*sqrt(21))\/sqrt(3))*2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 8. Let v = y + -3.95. Which is the third biggest value? (a) v (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 5, 1\/9, 6\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, q: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 132*m = 158*m - 34560. Calculate the smallest common multiple of m and 212.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113317, 452966, 1019057, 1811596, 2830589, 4076042, 5547961?\nAnswer: 7246352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72227*s**4 - 784 - 33243*s**4 - 68548*s**2 - 12136*s - 79004*s**3 + 2916*s**5 - 86290*s**3 - 34012*s**4 = 0. What is s?\nAnswer: -1\/2, -2\/9, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 191\/98, 0.4, 0, 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 11*k**3\/3 - 211*k**2\/2 - 5*k - 33. Let o be w(10). Solve -14*t + o*t + 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7817 + -7817.05. Let y(j) = -j**3 - 3*j**2 - j + 2. Let k be y(-3). What is the nearest to w in -0.1, k, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/7 + 849*r**4\/7 + 369*r**3 - 2553*r**2\/7 - 6024*r\/7 + 5148\/7 = 0.\nAnswer: -3, -2, 1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l - 5. Let a be 1 - (2\/l - 3). Is a\/15 + (-128)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 3*z + 1. Suppose 0 = -5*x + 5*t, t - 10 = -4*t. Let u = -8 + 19. Let v(n) = -10*n**2 + 16*n - 5. Determine u*m(f) + x*v(f).\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -2 - (-1 + 1). Let c(d) be the third derivative of d**6\/120 + d**5\/15 + d**3\/3 - 2*d**2. Let i be c(-4). Solve -4*u + p = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2172*a - 17413. Give v(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 5 (c) -2\/11 (d) -11\/2 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**7\/105 + p**5\/15 - p**3\/3 - p**2. Let k(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-5)*13\/((-364)\/(-20))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 t when four letters picked without replacement from ztzztzztzzztzzztzzz.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10 - 34 - 8*q**2 + 7 + 9 + q**3. Calculate f(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7760175 and 7020420.\nAnswer: 14505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.017 + -0.603. Let v = -8 - -8.12. Let z = c + v. What is the biggest value in z, -0.4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35198113393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/((-1800)\/(-430)) - -3. Which is the biggest value? (a) 68 (b) -0.4 (c) p (d) -2\/9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11669, 24841, 38017, 51197?\nAnswer: 64381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235228*b**3 + 117662*b**3 + 117538*b**3.\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {n: 4, z: 1, i: 1, e: 7, k: 2, x: 3}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1794, -1546, -1132, -552, 194?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 5*i + 10941 + 510, 2*s - 3818 = -2*i. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2 - 2238*r - 22848. What is k(-10)?\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*(-5)\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -476 + 479. Suppose -2*k - 17 = -f*u - 3, -3*u - k + 11 = 0. Let t(x) = -6*x + 6. Let o(c) = 6*c - 5. Determine u*o(n) + 3*t(n).\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 3*u**2 + u**2 + 17*u**3 + 0*u**2 + 24.\nAnswer: 17*u**3 - 2*u**2 + 8*u + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.7 times 8?\nAnswer: 181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 285. Suppose c - f = -4*j + 576, 1080 = 5*j + 3*c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117\/(-312) - 179\/(-8). Suppose -15 = -8*u + 5*u. Solve -2*m - u*d - l = 0, 3*m + 0*m + 11 = -2*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-608)\/(-2976)) - 4\/38.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 8*g**2 + 18*g - 6. Calculate the remainder when 38 is divided by u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 154 (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/107670 and -127\/1115920?\nAnswer: 324732720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/9)*j\/j**(-23)*j**(1\/10)*(j*j*j\/(j*j\/(j**(-12)*j)*j))\/j assuming j is positive.\nAnswer: j**(1079\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**5\/20 + r**4\/4 - r**3\/6 - 2*r**2 - 8*r. Let i be m(-2). Solve 3*u - 7*n + i*n = -14, 16 = 4*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 126. Calculate the greatest common factor of 672 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81.31 - 641.99. Round j to the nearest ten.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - a - 3. Suppose 10*c = 6*c + 20. Let u(q) = 3*q**2 - 2. Let k(b) = c*p(b) - 7*u(b). Determine k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1062*n - 18062. Let h be d(-17). Let f(b) = 2 + 2 + 0 - 3*b. What is f(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/23 - 22*j**4\/23 - 54*j**3\/23 + 22*j**2\/23 + 52*j\/23 = 0. What is j?\nAnswer: -2, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b - 9 - 13 + 22. Let i = -6 - -8. Let m(h) = -h**2 + 0*h**2 - h**i. Determine t(m(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2 - 68*a - 17. Give u(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**10\/18900 - u**9\/4725 + u**8\/3360 - u**7\/6300 + u**4\/12 - 4*u. Let a(i) be the third derivative of l(i). Factor a(o).\nAnswer: 2*o**2*(o - 1)*(2*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**3 - 3*g**2 - g + 3. Let b(n) = -2*n**2 + 0*n**2 + 7*n - 4*n - n + 3. Let q be b(2). Let m(t) = -t**3 - t**2 + 1. Determine q*z(u) + 3*m(u).\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 273 = 3*c. Is 33 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0*i - 7\/24*i**4 + i**3 + 1\/60*i**5 + 9*i**2 + 0. Give n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*c + 167, -4*c + 16 = -0*c. Suppose -h - z = -6*h. Let d = 452 + -447. Solve 2*j + a = -h, -4*j - 36 = -d*a - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/3)\/((-2)\/(-24)) + 3. Suppose x = 2*r + m, -2*r = 4*x + 150 - 374. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2899*a + 92 - 92 + 2890*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1476 and -151\/246.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4699213 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04776959 and -0.6.\nAnswer: -0.55223041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*m - 36 = 0, -2*m - 2*m = -4*w - 60. Let p = 14 + w. Solve -3*j - p = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 20090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71930290 * -0.4.\nAnswer: -28772116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116600, 116695, 116854, 117077, 117364?\nAnswer: 117715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -0.1, -3, -2\/23, 4, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2595 - 2585 = m, -3*m = -z + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 45. Let t be 21 - l - (1 + 0). Let y be 2 + -6 - 1*-4. What is the biggest value in y, t, -0.06, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*j = 5*n + 303*j - 14, 5*n = 5*j + 30 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 3089?\nAnswer: 9267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 + -37. Suppose 3*k = -y - 27. Let c = k - -51. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7993 divided by 9032\nAnswer: -7993\/9032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/671046729?\nAnswer: -2\/671046729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6281447 - -2?\nAnswer: -6281445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33594568*0.3\nAnswer: -10078370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4627 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -29 (c) -0.0014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = l + 17, -7*l + 7 = -10*l + 4*q. What is the least common multiple of 440 and l?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(9400\/(-630))*14\/49.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/5)*f)\/f*f)\/f**(-1\/6)*f**(-15)*f*f*f*f**30 assuming f is positive.\nAnswer: f**(629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3 - 2 + v - 2. Let z(d) = 4*d - 5. What is -6*m(y) + z(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -10\/52669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2605774 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + -5*(sqrt(2299) - ((0 + sqrt(2299) - sqrt(2299)) + sqrt(2299) + -4 + sqrt(2299))))*4)*-4.\nAnswer: -880*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + 1 - -8 - 5) - -17\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1465499 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - -0.98. Let f = t + -0.02. Let a = f + -1.09999908. Round a to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 1. Let o(m) = 27*m**3 + 2. Give o(i) + 2*t(i).\nAnswer: 27*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -36. Solve 25*b**2 + 29*b + 20 + 5*b + 6*b + 5*b**f = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 15\/1267928, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g*g*g**(-2\/13)\/g)\/((g*g*g**(-2)*g*g)\/g)**(2\/29)*(g**(-9)*(g*g**(6\/11)\/g)\/g)**(1\/2) assuming g is positive.\nAnswer: g**(12648\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4 - 0. Let o(q) = 4*q**2 - q**2 - 4*q + z - 4*q**2. Give o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**4 + 3*w + 0*w**3 + 1\/10*w**6 + 0*w**5 + 0 - 1\/2*w**2. Find the first derivative of z(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 12*n + 2. Let p be s(-13). Let m = -6 + p. Calculate the least common multiple of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 123, 292, 539, 870, 1291, 1808, 2427?\n\"Answer: i**3 + 30*i**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14*r = -12*r - 1034, 15 = -5*r. What is the highest common factor of v and 1612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1654 - 4?\nAnswer: -1658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2054 + -3?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 25711 - 10913 = 0. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10934551.\nAnswer: 10934551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 689 = 2*f + 115, -288*d + 292*d + 174 - 25 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 16*c + 103. Let x be r(-21). Suppose 12 = -0*v - 2*v. Let a be 3 + v*1\/x. Let f(q) = q**3 - 5*q**2 - 6*q + 6. Give f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12926*l**3 + 8*l**2 + 16*l + 18. Let y be j(13). Suppose -5*w = -4*t - 35500000, 4*w + t - y = -2*t. Round w to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, 0.4, 0.2, -2\/343?\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 0*g + 2*g + 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 28, 45, 66?\n\"Answer: 2*k**2 + 7*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2584 and 5\/3397?\nAnswer: 8777848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c - 19*c - 9*c + 18 - 18 - 13*c - 3 + 3 - 2*c - c + 2*c - 3*c + (-c + 2*c + 0*c)*(-4 + 2 + 1) to q*c + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-20)\/(-6) + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 44 = -2. Let a = 4 + -1. Let r = 67 + -47. Solve -4*x = r, -x + g*x = a*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + 78\/9. Let h = -8 + l. Solve -3 + h = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/12 - 5*b**3\/6 + 9*b**2\/2 + 104*b. Let h(w) = -w**2 - w + 14. Let k be h(-5). What is l(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*k**3 + 57\/4*k**2 - 1\/4*k - 57\/4.\nAnswer: (k - 1)*(k + 1)*(k + 57)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = -3*b + 35*p + 253, 459 = 5*b - p. Calculate the lowest common multiple of 98 and b.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -15. Let u be (-2)\/(-6) + (-8994)\/a. Let g = u + -267. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3173 and 380.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*k + 66 + 999 = 0. Solve 3*y - 7 = -2*w - 4, k*w - 10 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 7. Let g = -7 + 0. Let k be v(g). Let w = 34 - k. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-1)\/1)\/((-14)\/(-42)). Suppose 0 = y - 2*t - 4, -2*t - 24 = -c*y. Solve v = 4*n - 9, 5*n - 2*v - y = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 9*y - 6. Determine x(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1845009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23.58539 - 1503112\nAnswer: -1503135.58539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/31 (b) -0.2445 (c) 42 (d) -5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 756204427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 11:23 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -8*w - 27. Suppose 5*g + w = -3*f, -1 = -3*f - g + 2. Solve 4*a + k + f = -k, -5*k = 4*a + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, -21302, 2, 3 in descending order.\nAnswer: 3, 2, -196, -21302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xol when three letters picked without replacement from {q: 1, s: 6, x: 1, l: 5, o: 3, r: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 21 = -g + 5*n, 0 = -16*g + 21*g - 6*n - 29 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0318 - 4.5618. Let b = o - -4.7. Let s = -0.13 - b. Which is greater: 1\/7 or s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, n: 2}. Give prob of picking 3 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = -6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325.6559 days to hours.\nAnswer: 7815.7416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4558723\/15 - -304024. Let c = u - 109. Let i be (-10)\/(-4) + (-1273)\/402. Sort c, 1\/3, i, -4 in ascending order.\nAnswer: -4, i, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16563.22 to the nearest 100.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14486 is divided by 453.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (3 - (-8 + 4 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80063 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b - 52. Let c be g(22). Differentiate 62 - 145*z**3 + 62*z**3 + c wrt z.\nAnswer: -249*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3250477, 3250432, 3250401, 3250390, 3250405?\nAnswer: 3250452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(27\/15 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 5. Let m(a) = a - 1. Let z(f) = 5*m(f) - u(f). Suppose 15*b + 13*b = 1540. Let v(x) = 58*x - 171*x + b*x + 62*x. What is v(z(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 3 (c) -2 (d) 4 (e) 209\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2536248*g**3*l**3*p**2 + 2*g**2*l*p**2 + 577*g**2*p**2 - 22*g*l**3*p - 3*g*l*p + 5*l**3*p**2 wrt g.\nAnswer: 15217488*l**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*v = 226*v - 64*v - 6735 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 281.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 33, 45?\n\"Answer: 12*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -873, -1300, -1721, -2136?\nAnswer: -2545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3851 + -3845. Sort -28, -4, -3, u in decreasing order.\nAnswer: u, -3, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53501 divided by 7643\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -2 + sqrt(7)).\nAnswer: -2*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 15*b + 297954. Let a(j) = j**2. Determine c(a(t)).\nAnswer: 2*t**4 + 15*t**2 + 297954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:03 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23102 + -21689. What is the remainder when r is divided by 129?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 125364*r - 27265248.\nAnswer: 4*(r - 216)*(r + 31557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31072091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -233340, -233279, -233218, -233157, -233096, -233035?\n\"Answer: 61*w - 233401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4000)\/(-1500)*(-9)\/(-1)*(-35)\/(-21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1974 - 374 = 16*l. Let f = 789 - l. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0921? (a) -0.3 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*c + 5*x - 2*x, 3*c - 16 = 4*x. Let n be c\/(-48) - (-46)\/56. What is the closest to 0 in n, 3\/10, -0.4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41545 divided by 311?\nAnswer: -41545\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 27 = x + 3*k - 10, 905*x = 906*x + 6*k - 10 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68148, 68095, 68042, 67989?\nAnswer: 67936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -19. Let y = w + -16.882. Let i = y - 0.11799949. Round i to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1144204 (base 5) to base 14\nAnswer: -7d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.7. Let b = -527.436 + 527.036. Put b, v, 6, -2\/3 in descending order.\nAnswer: 6, v, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 19. Suppose 5*v = 2*w + j, 0*v = -3*w + 4*v - 11. Factor -2 - w*a**5 + 6*a**5 - 5*a**4 + 2 + 2*a**3.\nAnswer: a**3*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*p - 49752, -5*l - 11202 + 135632 = 5*p. Calculate the remainder when p is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -1 (c) -10 (d) 20 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1. Let r(c) = c + 1. Let u be 1 - 0\/(5 + (-1 - 2)). Calculate u*o(b) - r(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 110 = -137. Let o(u) = -k + 247 - u. Let z(j) = 8*j. What is z(o(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34270 and 75394.\nAnswer: 376970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02074377 to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 253*o**4\/24 + 55*o**3\/6 - 1037*o**2. Let w(n) = -14*n - 3. Calculate -6*q(u) - 110*w(u).\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 286762.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7)\/(-98)*132)\/((-2)\/(-14)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 4*b + b)*(2*b - 2 + 2) + 2*b**2 + b**2 - b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or 2097\/7?\nAnswer: 2097\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.112425964+53148\nAnswer: 53148.112425964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*n - 436 = 505*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205597192?\nAnswer: 2, 25699649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560345.\nAnswer: 5, 112069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -34 + 39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/96 and -143\/220860.\nAnswer: 1766880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30442 - -102203. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.20786 rounded to 1 dp?\nAnswer: -86.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -237. Let a = -11 + c. Suppose a = 3*q + 2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 78. Let i be ((-52)\/3320)\/((-32)\/r). Let j = i - -3\/83. Is 1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/((-55)\/(-1320)). Suppose -120*o = -117*o - j. Suppose -4*a - r = -301 - 80, -12 = 4*r. Calculate the highest common factor of o and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*4\/24)\/(-44*(-4)\/8).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2 + 4*d + 23. Let y(p) = -11*p**2 - 3*p - 18. Let v(w) = 4*r(w) + 5*y(w). Let q = 94 - 92. What is v(q)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 73*z**7\/42 - z**4\/4 + 20*z**3\/3 + 515*z**2. Find the second derivative of r(l) wrt l.\nAnswer: 4380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3859.1 - 3859. Which is smaller: 14850 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20547662 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*v - 1 + 34, -3*v = 0. What is the least common multiple of 40 and r?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 1177*r**6\/60 - r**5\/15 + r**4\/12 - 7*r**3\/6 + 2*r**2 - 99*r + 2. Find the third derivative of x(n) wrt n.\nAnswer: 14124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -26. Suppose w*j + q + 2*q - 4 = 0, 5*q = -3*j - 4. Let y be j + (1 - -1) + 0. Solve -2*h + h = -y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17295853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 30810 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 18. Let j(r) = r - 3. Let u(n) = -3*j(n) - m(n). Let a be u(15). What is the highest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (22 + -18) - 10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 64 - 106. What are the prime factors of (-7905)\/(-21) - (-2 - d\/(-14))?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 8. Give y(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjrz when four letters picked without replacement from {r: 6, k: 4, z: 4, j: 1, h: 5}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*h + 6. Suppose -4*q = -2*y - 8, 0 = 2*y - 6*y + q + 12. Suppose 71*b = -4 + 4. Solve h*c - 6 = b, y*j = 4*c - 3*c + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 4, 0, -4, -2\/7 in descending order.\nAnswer: 4, 0.21, 0, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/54018 and -31\/252.\nAnswer: 756252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 16 + q + 0*q - 25.\nAnswer: q - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 75 = 0. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*p - 1. Let r = p - 3. Let n = -0.1 + 0. What is the closest to 0.2 in -0.2, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwkwwkwkw. What is prob of sequence wwww?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - -2 - (-8 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183059\/7 + 26030. Let w = 121 + f. Let r = 1.19 - -5.81. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16661.88 months?\nAnswer: 1.38849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 15*p**2 - 19*p + 237. Calculate g(15).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 23 = -17. Suppose 3*u + 0*d = 2*d + b, -u - 2*d = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -20 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6 = 4. Let s be 6\/21*4\/j. Let l = -1 - -2. What is the second smallest value in s, l, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1059 - 1060. Which is the closest to 0? (a) 0.32 (b) i (c) 2\/15 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*g**5 + g**4*o**2 - 3*g**2*o**2 - 63*g*o**2 wrt g?\nAnswer: -1200*g**2 + 24*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 4 + (sqrt(468)*-2 + 3 - sqrt(468) - 5*2*sqrt(468)))**2.\nAnswer: -1404*sqrt(13) + 79173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 8 - 13. Suppose -d = 2*s - 19. What is the least common multiple of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.36 in 0.0723, -3, -8\/33?\nAnswer: 0.0723","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 18*g + 4. Let f be j(-18). Which is the closest to f? (a) -0.3 (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:20 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2663\/13 + -205. Suppose 3*a = 3, 0*m - 2*m - 2*a = 14. Let d be (-15)\/(-28) + 2\/m. Put 3, y, d in increasing order.\nAnswer: y, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 16) to base 12\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 - 19*q**2\/2 - 25*q + 843. Give j(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h = 37 - 13. Put 485, -1, h in decreasing order.\nAnswer: 485, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46292082 by 15430694.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182 + 134 + 254)*(3*z - 2*z + z)*(5739 - 5739 - 56*z**2).\nAnswer: -23072*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 25. Let a be d(5). Solve 10 = -2*m + a*j, -5*m - 29 = 3*j - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9636973 to the power of 1\/2, to the nearest integer?\nAnswer: 3104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 4, -30, -102, -224, -408, -666, -1010?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35923 is divided by 4623?\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10225307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:53 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210568725 is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 249 and -0.01?\nAnswer: 249.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 13*h**2 - 7*h + 1. Let y(q) = 2*q**2 - q. Let v(p) = -3*t(p) + 21*y(p). Solve v(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:16 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58352 and 41098564.\nAnswer: 1150759792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5) + 8\/10. Suppose -5*z + y*z = -15. Suppose 3*c + 6 = 0, -z*c - c - 176 = -4*j. Calculate the remainder when 250 is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16399*d**4 - 47*d + 410 wrt d.\nAnswer: -196788*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21\/2 (b) -1\/54 (c) 2\/13 (d) 5\/3 (e) -3 (f) 12 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*9\/3. Let g(i) = -i**2. Let q(j) be the first derivative of -2*j**3\/3 - 34. Give a*g(c) - q(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274 + 593. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -0*q - 5*q, -4*g + 3*q = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:32 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + q = -2968373, 104*l = 108*l - 3*q + 3957861. What is l rounded to the nearest 10000?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39466453*z. Let t(o) = 2*o**2. Determine t(x(u)).\nAnswer: 3115201824802418*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 12. Give q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12*x. Suppose -4*o - 325 = 2*r - 3*r, -4*o = 4*r + 300. Let h = -82 - o. Give s(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2448) + 1)**2.\nAnswer: 24*sqrt(17) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91665 by 3395.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(3969\/(-54))\/(6\/8). Let s = w - 193. Calculate the remainder when 43 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9312*a**3 - 65*a + 9314*a**3 - 95*a - 18 + 41.\nAnswer: 2*a**3 - 160*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2)*((-12)\/(-9))\/(-4)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309174 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 40041072.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 73*k = 75*k + 2, -5*k + 41 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 3:17 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 2*r**2 - 2*r**2)*(-2*r - 2*r + 2*r).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (1 + (7 - 7))*3329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-216))\/(5*(9\/(-4))\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-18)*-1*(-4)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 1. Let r = 1 + -2. Let q be k(r). What is the third derivative of q*l**5 + 7*l**2 - 3*l**2 - l**2 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53352 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t. Let x be t\/(-1) - 36\/(-42). Let g be 21\/(-18) + (-2)\/(-3). What is the nearest to 0.1 in -2\/5, g, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5298.183099 rounded to 1 dp?\nAnswer: -5298.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxccxcxccxc. What is prob of sequence xxc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 20, -52908, -0.2 in descending order.\nAnswer: 20, 5, -0.2, -4, -52908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 13, -5, -4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -0.4, -5, -1\/2, -0.57?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 45. Let x = -6 - -14. Let c be x\/(-14) + 88\/154. Is u smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114a2 (base 11) to base 2.\nAnswer: 100000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12)\/sqrt(50)))\/(sqrt(200)*-2*-4).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -29\/2*a**2 - 1\/20*a**5 + 13 + a - 4\/3*a**3 + 0*a**4. What are the prime factors of m(-4)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 21 - -34 - (0 - -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - p - 2. Let o(b) = 17*b**2 - 8*b + 30. Let u(y) = -o(y) + 8*t(y). Let n(a) = 3*a. Give n(u(r)).\nAnswer: -3*r**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*b = -36. Solve -4*z + b - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:29 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b - 4 = 0. Let m be -3 + 3 - (0 - b). Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 31*o + 37. What is t(3)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 305 - 44*w**3 + 13*w**2 - 156 - 13*w**2 - 11*w - 151 as t*w**3 + c + f*w**2 + x*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 16, 34, 62, 100, 148?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-14) + 6\/(-14). Suppose 0 = -p*x + 1 - 39. Is x greater than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 43*n + 45*n - 2, 3*n = 5*d - 8. Is d equal to 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) 50 (b) 0.17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -108636 divided by -3?\nAnswer: 36212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17118.2 + -17117.43933. Round q to 2 decimal places.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -141, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/((-9)\/6). Let u(s) = -5*s + 55. Let l be u(10). Which is the second biggest value? (a) 2\/15 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151716 and 252672?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = 2*r, 0 = -3*s + 5*r + 11. Let h(c) = -c - 1. Let a be h(s). Solve -6 = -2*x + a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 18 - 47 + 20 + 2*h)*(9 - 65 - 42) to y*h**2 + j*h + q and give j.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5745, -1497, 2751, 6999, 11247, 15495?\n\"Answer: 4248*v - 9993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 19*k + 15. Calculate u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121874850*v**3 - 51620267*v.\nAnswer: 731249100*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1039, -0.09, 32, 0.2, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttiitkkkktkkkikt. Give prob of picking 1 i and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p. Let h(b) = -28*b + 2. Let z(l) = 4*h(l) - 24*s(l). Let r(m) = 11*m - 5. Let x(f) = 7*r(f) + 5*z(f). Calculate x(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -408 + 408. Solve c = -2*p - 1 - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11896949.\nAnswer: 181, 65729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1012030 (base 5) to base 7\nAnswer: -66102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 2*k + 6. Determine y(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = j, 2*j = -4*i + 4*j + 8. Suppose i*f - 2 = 4*y - 10, -5*f - 10 = 0. Factor 4\/5*o**3 + 2\/5*o**2 + y + 2\/5*o**4 + 0*o.\nAnswer: 2*o**2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a gram in milligrams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66102 and 66102.\nAnswer: 66102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 11*q + 16. Let v be p(12). Let n(i) = 9*i + 2. Let t(r) = -8*r - 2. Let a(f) = -6*n(f) - 7*t(f). Is a(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*f - 30, f = -0*g + g. Let y be (f\/((-50)\/(-12)))\/(4 + -2). What is p in -12\/5 - y*p**5 + 21\/5*p**2 + 0*p - 9\/5*p**4 + 3\/5*p**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 15*w**2 - 5*w + 28. Give f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -31. Let y be -2*(-1)\/(-6)*r + 4. Suppose 0 = -y*d + 3*j + 560, -2*d + 2*j + 224 = -3*j. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2133104 (base 5) to base 16.\nAnswer: -8f2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 285 = 5*j. Calculate the remainder when ((-5)\/(j\/(-12)))\/(2\/123) is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -46. Let j = -46.0029 - h. Round j to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3\/4 (b) 2\/5 (c) -3 (d) 56 (e) 203 (f) 3 (g) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 13*w - 14. Let v(a) = 6*a**2 - 66*a - 71. Let o(n) = -11*d(n) + 2*v(n). Let x be o(-10). What is the highest common divisor of x and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/26 - (12\/16 - 2). Let y = 22 + 9. Which is the biggest value? (a) -2 (b) l (c) y (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011110111010010 - -11?\nAnswer: 11011110111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 less than 0.08905273706?\nAnswer: 468.08905273706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -646, -420, -46, 476, 1146, 1964?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*x = -178, g - x = 2*g - 45. Let b = 8 + -2. Suppose -2*c - 3*z = -44, -4*c + 48 = 2*z - b*z. What is the remainder when g is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/33 - (-3 + 408\/(-66)). Calculate the highest common factor of 27 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2132, -2133, -2134, -2135, -2136, -2137?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/3 + 3*w**2\/2 + w. Calculate i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 75*f**2 - 683*f - 12. Give x(11).\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3574843080 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2154*p**3 - 1166 - 2146*p**3 + 4298*p**3.\nAnswer: -2*p**3 - 1166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 57. Let h(x) = -16*x**3 + 9*x**2 - x**3 - n + 8*x**3 + 10*x**3 + 5*x. What is h(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*v - 3\/5*v**3 + 1\/5*v**2 - 2\/5 + 1\/5*v**4.\nAnswer: (v - 2)*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -15*x - 49*x + 105*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2596242 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z. Let x(i) = 1202*i**2 + 25*i. What is x(p(c))?\nAnswer: 97362*c**2 + 225*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*j**5 + 0 + 39\/2*j + 117\/4*j**3 + 21\/4*j**4 + 175\/4*j**2 = 0. What is j?\nAnswer: -13, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16483 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100706 by -1.\nAnswer: -100706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 220 - 437 + 216 - 5*x + x**2 + 4*x. Let h(o) = -2*o**2 - 4*o - 3. Determine h(d) - 2*q(d).\nAnswer: -4*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 442258 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - -0.2. Let x be (12 - 8)\/(3 + -8 - 13). Which is the closest to x? (a) g (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/(((h*h\/(h\/(h\/h**(-1\/5)))*h)\/h*h)\/h))\/h*h*h)\/h)\/h)**(-45) assuming h is positive.\nAnswer: h**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 1169*w + 1324*w = 373*w - 113508 for w.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/((-60)\/(-698)) + 2\/(-6) and 27\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 78 - (-1 + 21) - 23\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15164 + -15333. Sort q, -0.4, -5.\nAnswer: q, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 12*x - 84 + 4*x**3 + 84 - 10*x + 2*x**2 as g*x**4 + d + p*x + u*x**3 + y*x**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 8*j = -3*j - 17, 3*n + 5*j = -11. Let y be ((-6)\/n)\/(7\/(-294)*-9). Solve y*i = 16 + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*v + 4*a, v = 6*v + 4*a - 60. Suppose 14*j = 17*j + v. Suppose 5*o + 0*o + 3*u = -20, 4*u = o - 19. Put o, j, -2 in decreasing order.\nAnswer: o, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:29 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158.904 + -159. Let v = c + -0.104. What is the third smallest value in -10, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/11, 0, -1\/5, -19352?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 2*s - 2. Let c be a(-2). Suppose -4*v = -c*o + 22, 0*o = -4*o - v + 8. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 32 = -12*w. Suppose -f + 9*f + 288 = 0. Sort f, w, -1 in increasing order.\nAnswer: f, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by -4\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92940 and 1785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(2*w + w - 6*w)*(0*w**2 + 0*w**2 + 8*w**2)*(0*w - 1 + w - 1) to the form f*w**3 + g + m*w**2 + h*w**4 + i*w and give f.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4868*n - 4870*n = 15, 3*n = 3*g - 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100101111011011001011 - -111?\nAnswer: -11110100101111011011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 21) + -3 + 1 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55b + 455b?\nAnswer: 4ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164\/275 + -1\/275. Which is the closest to -1\/3? (a) 0.4 (b) 1\/10 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 34 - 1044. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2384 and -16.\nAnswer: 38144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2. Let b be s(1). Suppose 5*i - 2*q - 8 = 4*i, 0 = i + q + 1. Suppose -5*k = -b*n - n - 23, n = -i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.76 + 43.86. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504755071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than -108171?\nAnswer: -108171.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) + (sqrt(2695)*2 - sqrt(2695)) - sqrt(55))\/(sqrt(5) + sqrt(55)\/sqrt(99)).\nAnswer: 39*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 2*q + 2. Let c be j(9). Let v = c - -95. Let b = 43 - v. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -4 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/79 - 164\/237. Suppose 21*m - 1251 - 1164 = 0. Let f = m + -807\/7. Which is the nearest to 0? (a) f (b) o (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-1)\/sqrt(2)*-4.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2798691.\nAnswer: 3, 7, 133271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46781119 + -115014426. Let y = 31433307 + n. What is y rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145\/((-6)\/(-3) + -1). Suppose 4*h = -x + 110, -4*h + z - 25 = -4*x. Calculate the remainder when h is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 52 = 2*x, -4*x - 10*m + 102 = -9*m. Calculate the lowest common multiple of x and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071868 and 2212.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 1)*(2*y + 2*y - 2*y)*(3*y**2 - 3*y**2 - 5*y**3) to n*y**4 + u + s*y + p*y**3 + d*y**2 and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120320\/329)\/(-80)*(42\/4)\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*2 - sqrt(16) - sqrt(16) - 2*sqrt(2304))\/(sqrt(288) - (sqrt(288) + -3*sqrt(288)) - (sqrt(8) - (sqrt(48)\/sqrt(2))\/sqrt(3))))**2.\nAnswer: 32\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3678*v**2 + 8*v - 12. Let u be m(2). What is u rounded to the nearest one hundred?\nAnswer: -14700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.2 (c) 0.09 (d) -203\/95 (e) 0.1 (f) -2 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73.99335 - -74. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**6 - 62016*v**5 - 382204*v**2?\nAnswer: 240*v**3 - 3720960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618228 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 9*v - 12*v + 47*v - 21*v - 13 - 7*v**3 to d*v**2 + h + t*v**3 + w*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30075 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6389.74869 to the nearest 10.\nAnswer: -6390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-9)\/63)\/((-2)\/(-14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -22. What is the second biggest value in b, -1\/3, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**4\/24 + 15*t**2. Let v(m) = -2*m - 2*m + m. Determine v(i(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -877, -1333, -1807, -2305, -2833, -3397, -4003?\nAnswer: -4657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 26581982, -1\/4 in descending order.\nAnswer: 26581982, -1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73228 + -73228.48921. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:09 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959*g + 73*g - 2777*g.\nAnswer: -3663*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 6*k + 4485 = 0. Let y = -341 + k. Solve -6*d = -16 + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404 divided by -36\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 14}. What is prob of sequence mkkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4848038413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837048 and 1920.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 27. Calculate r(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 + 1. Let z(k) be the third derivative of -k**4\/12 + k**2. Calculate b(z(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*a + 33 = 0, 3*r + 32 = 36*a - 40*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - 47 - ((12 - -8) + -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11918.61 to the nearest ten.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64938 and 27966.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1096652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*h = -0*d - 18, 4*d = h - 16. Let s(t) = 272000*t**2 - t - 5. Let k be s(d). What is k rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7896 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 904, 6102, 20186, 47596, 92772, 160154, 254182?\nAnswer: 379296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -3, 4, -5\/4, 1454?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and -95\/34576722.\nAnswer: 34576722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (11 - (16 + -31))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*z - 2820, 16*z + 8*q + 564 = 17*z. What is the remainder when z is divided by 198?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:44 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*x**3 - 1 + 14*x**4 + 43*x**3 - 18*x**4 + 2*x**2 to the form l*x**3 + z*x**4 + o*x**2 + j + t*x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 9212?\nAnswer: -9210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059900 rounded to the nearest ten thousand?\nAnswer: 1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -139201200\nAnswer: 83520720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let f(k) = 5333387*k**2 + k. Give f(p(q)).\nAnswer: 21333548*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (65\/(-20) - -5)\/(3\/780). Suppose 3*y - 9 = -0, 2*c - y = u. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:35 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 8*k - 4. Is k less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:31 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 1 + (-5 + 1 + 3)*(2 - 5 + 1) + 2 - 5 + 4)*(-13*k**3 - k**3 - 43*k**3) as p + z*k**2 + u*k + l*k**3 and give l.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -49314\nAnswer: -2\/24657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169\/290 - -1\/58. Are -2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 + 24*r**2 - 44*r - 12. Let o(m) = -19*m**3 - 93*m**2 + 169*m + 47. Let s(n) = 23*c(n) + 6*o(n). Let x = 2 + 4. Determine s(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -2*w - 28, -2*w = -6*r + 4*r + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u - 3 + 3)*(-7*u**2 - 22*u**3 + 7*u**2) to k*u**3 + a*u + b + y*u**2 + q*u**4 and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 497 + 399. Solve 7*t = -u + 99 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332736 divided by -2?\nAnswer: 166368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7607822880 to the nearest integer?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 167. Suppose n + 106 = 5*f, 5*f - 64 = -2*n + h. What is the second derivative of -17*y - f*y - 4*y**3 + 35*y wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b013 (base 13) to base 2\nAnswer: -11010110100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 76*z**2 + 1403*z - 117. What is s(-44)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g**3 + g + 381*g**2 - 381*g**2 - 1. Calculate v(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 29.9999941. What is o rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:10 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zfhknzk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-372)\/(-8) - 1\/2. Suppose -2*j + 3*u = -33, -5*j + u = -x - 17. Suppose 25*h - 28 = 21*h. Calculate the remainder when j is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 133, 5, -8 in increasing order.\nAnswer: -8, -4, 5, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.3136282 to three dps.\nAnswer: -7.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3198 = 5*j + a, -4*j + a - 2550 = -a. Let l = j - -1129. Round l to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 860*h**2 - 2576*h + 12. Calculate c(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -3) + 1 + (1 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 - 278. Suppose p*y + 96 = 45*y. Calculate the smallest common multiple of 6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00455042 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 4*j**3 - 7 + 0*j**3.\nAnswer: -j**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven eighths of a microsecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 3 (c) -2\/15 (d) 0.2 (e) 23.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21832576 divided by -128\nAnswer: 170567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 11. Suppose -4*h - 4*a + 28 = 0, 4*a - 18 = 4*h - 3*h. Let m be ((1 - 30\/9) + h)*-9. Solve -m*u + l = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let z = 0.1 + 0.4. Sort -1\/6, z, p in decreasing order.\nAnswer: p, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/6*9*-1)\/(166\/7802*-235).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 270800 (base 10) to base 15\nAnswer: 55385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256916038.\nAnswer: 2, 2029, 63311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 561818 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.016 + 5.016. Let d be 2 + ((-1249)\/(-91) - -1). Let i = d + -210\/13. Put 3, f, i in increasing order.\nAnswer: i, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -233594*c**3\/3 + 155742*c**2 - 77890*c + 38\/3 = 0. Calculate c.\nAnswer: 19\/116797, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-510)\/2))\/(-1)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/2500 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 14*r - 2. What is the units digit of t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.4, -0.06, 9, -5\/6, -2\/43?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 134, 189, 242, 293, 342, 389?\nAnswer: 434","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 xolrruxxtlxxxtx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ggkggkggggkggggkgg.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 52116 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3315647047?\nAnswer: 157, 21118771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6848 = -5*b - 45357. Let y = 187865\/18 + b. Find the common denominator of 25\/123 and y.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214400 and 26131072.\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 16, 4*l + q - 587 = -103. What is the highest common factor of l and 4540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1220 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4753991768 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31741 is divided by 31723?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -43*m**6\/15 + m**5\/20 - m**4\/12 - 91*m**3\/6 - 3*m**2 + 93*m + 2. What is the third derivative of v(k) wrt k?\nAnswer: -2064*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 114*t + 2. Let h be i(1). Let x = -56 + h. Suppose 10*u + x = 15*u. Calculate the least common multiple of u and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7569, -1, 2, 3, 1 in descending order.\nAnswer: 3, 2, 1, -1, -3, -7569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (66 - 28) - 24.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - i + 149 - 40.\nAnswer: -i + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10576*g - 15986 - 375326 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 2*z**4\/3 - z**3\/6 - 72*z**2 - 2. Calculate v(-3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l + 18377960000 = -64*l. What is l rounded to the nearest one million?\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*h**3 - 3*h**2 + 0*h**3 - 2*h**2 - 4*h**3 as n*h + r + d*h**2 + i*h**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1458*w - 2831*w - 3162*w)*(0 + 0 - 2).\nAnswer: 14902*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 2:04 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 151653 divided by -4225?\nAnswer: -151653\/4225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 336*d + 14112 = 0.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 - ((231 - 227) + 5 + 2 + 0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*v + 3*b + 53, -2*v + b = -15. Suppose 174 = v*n - 26. Which is smaller: 23 or n?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 152337 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -20. Suppose 2*i - m = -5*f, 2*f - 5 = i - 4*i. Let h be 2\/4*4\/5. What is the closest to h in f, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53053 and 99905?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -543*s**3 - 10*s**2 - 20*s + 21. Let v be j(1). Is v greater than or equal to -562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132) - 5*(sqrt(132) - (sqrt(132) - (-2*sqrt(132) - sqrt(132))))))\/((4*2*sqrt(84))\/sqrt(7)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 25*y - 36. Calculate the highest common factor of 27 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68872122 to the power of 1\/2, to the nearest integer?\nAnswer: 8299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7778*i - 7779*i = -4*d + 18, -2*i = -2*d + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 391\/5, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78144310 rounded to the nearest one hundred thousand?\nAnswer: -78100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -195\nAnswer: 1.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (11 + 7)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94164407 divided by 94164407?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000932112 to seven dps.\nAnswer: 0.0000932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12*-1*((-2055)\/150 - -14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:45 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clo when three letters picked without replacement from {n: 1, c: 6, k: 1, l: 1, r: 4, o: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*s - 1, -3*y = -7*y - 3*s + 10. Let c = 24 - 21. Which is greater: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4503204.\nAnswer: -4503211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10691 - -10683. What is the nearest to i in 3, -2, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o - 1584 + 784 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6020086, 24080349, 54180790, 96321409?\nAnswer: 150502206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/70)\/(-6) + (-10)\/25. Suppose -3*u = -4*h - 24, 4*u + 2*h - 32 = 5*h. Suppose -u*z = -4*z. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -7. Let z be (0\/2 + 1)\/(-1). Let f be (-8)\/2*(z + -2 - -2). Solve 0*g - f*b - 7 = -c*g, 0 = g + b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202110210200 (base 3) to base 11.\nAnswer: 911374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 2. Let p be s(-6). What is the third derivative of -r**2 + 0*r**2 - 5*r**p + 4*r**2 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 7:06 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32363 divided by -32363?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*(-2)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b - s + 1277, 4*s = -5*b + 2099. Let t = -29 - b. What is the units digit of ((-10)\/3 - -2) + t\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/3)*q)*q)**10)**(15\/4) assuming q is positive.\nAnswer: q**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(2)*3*-2)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 33*n + 3. Let i(y) = -265*y - 25. Let z be (-19 - (-10 - 4))*6\/10. Give z*i(b) - 25*t(b).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 3, o: 4, r: 2}. What is prob of sequence mj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1263663 and 2160?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 4*q + 2*q)*(-1 + 3 - 3)*(-q - q + 19*q - 2).\nAnswer: 51*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10741657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -3143*i**5\/10 + i**3 - 287*i**2 - 12*i - 367. Find the second derivative of l(m) wrt m.\nAnswer: -37716*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - -0.74. Let g = 1 - 0.7. Let o = -6 - -6. Which is the nearest to -2\/9? (a) o (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56740?\nAnswer: 2, 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*z - 68, -8 - 38 = -3*l - 2*z. Calculate the highest common divisor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1083.59017 and -8881.14.\nAnswer: -7797.54983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 90 = 18*c. Let i(b) = -3*b**2 + 2*b - 6. Let v(a) = -5*a**2 + 4*a**2 - 1 - 3*a + 4*a. Calculate c*v(o) + i(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88473 and 9.\nAnswer: 265419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/74445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z + 4*z + (0 - 2 + 4)*(-3 - 2*z + 3) + z + 3 - 3 + 3*z - z - z)*(5 + 3 + 7).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n - 370 + 410 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355520.\nAnswer: 2, 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783 a factor of 13650972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209692 rounded to the nearest 1000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*b**3 + 22 + 173*b**3 - 73*b**3.\nAnswer: 35*b**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 253*h**2 - 5314*h + 27. Give d(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**2*r**2 - 1181190*k**2*r + 3*k*r**2 - k - 3332*r**2 - 4*r wrt k?\nAnswer: -10*r**2 - 2362380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1866610 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011010 (base 2) in base 7?\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.8. Let b = o - 0.5. Put 2, 1\/7, b in decreasing order.\nAnswer: 2, 1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3550 + 3555. What is the smallest value in 0, 23, c, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-65)\/78*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/25 + (-304)\/10. Is 9 a factor of m\/(0 + -2 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1039 + 1033. Let p(v) = -9*v**2 - 51*v + 19. Let f be p(i). Let m(w) = 25*w + 15. Let r(s) = 12*s + 7. Let o(j) = 6*m(j) - 13*r(j). What is o(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(1008) + -3 + sqrt(1008))**2.\nAnswer: -12144 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbby when four letters picked without replacement from {y: 7, g: 3, b: 3}.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011100000 - -101?\nAnswer: -100011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*k = 3568 - 732, 3*t + 2125 = k. What is the units digit of t\/(-28) - (-6)\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-i**4 + 4*i - 4*i) + (0*i + 7*i**2 + 0*i)*(3*i + 4*i - 4*i)*(69*i + 24821 - 24821)*(-2 + 4 + 0).\nAnswer: 2896*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -8\/5*f**3 + 0 - 120*f**2 + 0*f - 1\/75*f**5 - 4\/15*f**4. Factor v(k).\nAnswer: -4*(k + 2)*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-1)\/(2 + -1))\/((-12)\/384)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**3 - 11*s - 15. Let g(y) = 4*y**3 + 4*y - y + 3*y + 8. What is 6*f(l) + 11*g(l)?\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + 11?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -295 - 0.06\nAnswer: -295.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-371)\/(-77) + 2\/11. Suppose -f = 2*z - y*z + 4, 4*z + 4*f - 16 = 0. Suppose -z*x = -3*l + 128, -3*x = 2*l + 2*l - 165. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5145695, 10291374, 15437039, 20582690, 25728327, 30873950?\n\"Answer: -7*k**2 + 5145700*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12095, 12066, 12009, 11918, 11787?\nAnswer: 11610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 154, 20, 3, -364 in descending order.\nAnswer: 154, 20, 3, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1dc51d?\nAnswer: 1dc522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 5. Let n(l) = 9 + 2 - 5*l + 3. Suppose 2*s = -4*i + 36, 0*i + 40 = 4*i + 4*s. Give i*v(x) + 3*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-28))\/(6\/4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 - -3265106665.\nAnswer: 3265106665.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8613*j**2 + 24361*j**2 + 42190*j**2.\nAnswer: 57938*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136022770 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129999966 by 6.\nAnswer: 21666661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 + 6*m - 8*m**2 + 2*m + 7*m. Let n be d(-15). Solve 4 = 2*x - n*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2416 - 2415.4. Let s = 2676696.4000158 + -2676697. Let y = s + n. What is y rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1372*o**2 + 1370*o**2 + 7 + 3*o - 8 + 20*o**4 in the form i + g*o + n*o**4 + t*o**2 + w*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*a - p, -3*a = 4*p - 31. Solve -4*f - 5*j - 19 = 0, a*j + 12 = 5*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4632 divided by -98?\nAnswer: -2316\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or 1401733?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92 in 11, 8, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (47831\/(-539807))\/((-7)\/1)?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*-0.038566.\nAnswer: 1.234112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7*i + 9. Let u be (9\/3)\/((-9)\/(-21)). Calculate l(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572410305970 + 473.\nAnswer: 572410306443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 620.00002478 - 620. What is l rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 479073 - 479168.0086. Let w = -95 - t. Let q = w - 0.002. What is q rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 16) in base 10?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18451 = 4*a, a = -u - 2*u + 4615. Suppose -a = -6*t + 12266. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5522?\nAnswer: 2, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 + 5 = 0. What is the remainder when (-1)\/(24\/(-16)*(-1)\/o) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 - -397. Let z be 6\/(-9) - 314\/(-453). Let i = -862\/1661 - z. Which is the closest to -2\/9? (a) 3 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**2 - 2*y**2 - 6*y - 7*y**2 + 4*y**2 wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6462 - -6526. Calculate the lowest common multiple of p and 632.\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-988)\/(-1197) - (-4)\/(-14)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.5 + 24. Suppose 4*t = 11 + 5. Which is the second smallest value? (a) 1 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45554 (base 11) in base 2?\nAnswer: -10000000101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 66. Suppose -2 = 2*p, -3*t + 0*p - p + q = 0. Suppose -6*m + 2*m = -t. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-651)\/(-9))\/(-7). Let b = -27 + h. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 109 = 186. Calculate the smallest common multiple of 846 and i.\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313896 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*-2*(-8)\/(-16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*j - 12 = -6*j, 3 = -5*a + j. What is the common denominator of -38\/7 and -4 - -3 - (a - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119\/160 - 1\/160. Let y = 6977 + -6976. What is the nearest to y in -1, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) -2\/3 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (8 + 1 - (9 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.919 * -30246.\nAnswer: 88288.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7799*x - 112668 = 97905 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(-36) + 3 - 6\/(-8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11440183.\nAnswer: 67, 170749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:25 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 425, 424, 423, 422, 421?\n\"Answer: -o + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 399 + 38. What are the prime factors of q?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let s(d) be the second derivative of d**5\/20 - d**4\/3 - 8*d**3\/3 + 9*d**2\/2 + 4*d. Let i(t) = -5*m(t) + s(t). Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -43738?\nAnswer: 87476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900 + 8642 = -376*y + 14 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v + 101119 - 100989 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 1, -4, 3.\nAnswer: -4, 1, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, -354996 in descending order.\nAnswer: 4, 3, -5, -354996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*z - 5 = 0, 2*z + 9 = -3*d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-78)\/12)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 10*f**2 + 45*f + 313. Calculate w(-11).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**5 - 1 + 1 + n**5 - 2*n**3 + 2*n**3 - 11 + 11 - 4*n**5 + (-n**4 + 2*n**4 + n**4)*(-2*n + n + 0*n).\nAnswer: -12*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75 and -3.02?\nAnswer: -226.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*s. Let u be 2\/s*1\/(-2). Let v be (-4)\/((-4)\/(-2)) + u. Which is greater: -4\/7 or v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1917, 7706, 17357, 30870, 48245?\nAnswer: 69482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 975, 2000, 3025, 4050?\nAnswer: 5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-13) - (5*(-13 + 14) - -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/5 + 18*u**2\/5 - 108*u\/5 + 13. Solve c(a) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122343 - -181322. List the prime factors of o.\nAnswer: 58979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 + 11\/9. Let j = -2634 + 2627. Is j > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 3*m - 5 - 7*m**2 + 7*m**4. Let k(v) = -7*v**4 + v**3 + 8*v**2 + 6. Let x(f) = 5*k(f) + 6*o(f). Solve x(g) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 + 3. Let v = 254 - 258. Let j be (-10)\/v + 52\/(-26). Which is the closest to -0.1? (a) j (b) i (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 + 12. Round n to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28000.52 kilograms in tonnes?\nAnswer: 28.00052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*m**4)**(-8) assuming m is positive.\nAnswer: m**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1414, -2\/3, 93.4, -0.3 in increasing order.\nAnswer: -1414, -2\/3, -0.3, 93.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.6 - -18.6. Let v = 15.2 - s. Which is the biggest value? (a) 0.03 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. Let x(z) be the second derivative of -1\/3*z**h + 0 + 0*z**5 + 1\/30*z**6 + 0*z**2 + 0*z**4 + z. Find the second derivative of x(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {o: 1, g: 2, f: 1, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q**3 - 8*q**2 - 3*q + 1. Let f(a) = -2*a + a - 41 + 40 - a**2. Let r(y) = 3*f(y) - g(y). What is the third derivative of r(p) wrt p?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.025 - 0.025. What is the nearest to 0 in 5, -0.08, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 7*n + 6. Let j be (0 + 3\/(-15))*2*-5. Let s be (j\/6)\/((-39)\/(-36) - 1). Calculate t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 41018.1s?\nAnswer: 41018100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000767586 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2058*b**4 + 2*b*d**3 + 1288*d**3 wrt b.\nAnswer: -8232*b**3 + 2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 - o - 1. Let y be n(0). Let h(b) = -2*b**3 - b - 1. What is h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 12*l - 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -6202, -20932, -49604, -96862, -167350, -265712, -396592?\nAnswer: -564634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 85*v + 940. Give c(-26).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20969 - -20891.025. What is x rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*h + 18, -3*o + 78 = -10*h + 7*h. Let a = o - 73. Let p = 171 + a. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5968 - -6638. What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 4, f: 3, n: 2, s: 2}. What is prob of sequence dn?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367826669 or -367826670?\nAnswer: -367826670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 525?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 2. Let u be o(2). Let h be 10710660 + u\/9*3. Let a = -4910658 + h. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1975 - 2.2. What is a rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 - 11*g. Let k(u) = 6*u**2 + 12*u - 1. Let f(n) = -7*j(n) - 6*k(n). Let r be f(6). Put 3\/4, r, 4 in ascending order.\nAnswer: r, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/3)*u**(-2\/9)*(u*u**0\/u*u)**4)**26 assuming u is positive.\nAnswer: u**(1508\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(275))*-1.\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*1\/(-9))\/((-1)\/93). Let x = v + 69. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3.8. Let m = p - 1.8. Let k = -118.96 - -119. Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z*z**5\/z)*z)\/z)**(-2\/15)\/((z*(z**1\/z)\/z*z*z*z)\/z)**(5\/9) assuming z is positive.\nAnswer: z**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3843154 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - 90.000053. Round c to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34856*q - 55 = 34851*q - 5*t, 2*q + 3 = 3*t for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193965 is divided by 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c - 2. Let i be y(2). Suppose f = 5*t - 57, -2*f = 3*t - f - 39. Solve -3*q - 14 = 2*a, -t = i*a + 2*q - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/6 + 8\/(-12). Suppose a*q - 4*q = 52. What is the highest common factor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538545, 1077107, 1615667, 2154225, 2692781, 3231335?\nAnswer: 3769887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 11*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3*w + 24. Let c(j) = -j - 8. Let d(l) = -3*c(l) - 6*k(l). Suppose -24 = 3*n - 4*p, 2*n = -0*n - p - 5. Determine d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72116 is divided by 36045?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h - 63*h**4 + 23*h**4 - 153*h**3 + 153*h**3 wrt h.\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290*d**3 - 2*d - 3281.\nAnswer: 1740*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - p**2 - 7*p - 7. Suppose 3*m = -b + 20, -2*b - 2*m = -20 - 4. Suppose b = 4*x - 0. Let j(v) = -v**3 + 2*v + 2. Give x*n(h) + 7*j(h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -903*i**2\/2 - 4214*i + 1428. What is the first derivative of o(m) wrt m?\nAnswer: -903","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 41*y + 148. Does 88 divide q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -52. Solve x = 3*m - m + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/99590 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201 - -1332?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(43641\/3730).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 155*q - 16 = 159*q, -4*u = 3*q + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - r - 2 = r, 0 = 3*r + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 50 = 13*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 1) + (8 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, j: 5, s: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*f - 58*f - 18620. Which is greater: f or -655?\nAnswer: -655","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35835 + 2*b + 158448 + 0*b.\nAnswer: 2*b + 194283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 3 + sqrt(468))**2 + sqrt(13) - (sqrt(13) + -1)*-4.\nAnswer: 77*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/((-123)\/(-12))*(-2)\/(-68)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**3*z**3 - 11*j**3 + j**2 - 1040*j + 2*z**3 wrt j.\nAnswer: 138*z**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 4*i + 6, -12 = 3*i. What is the common denominator of -133\/24 and 3\/(-12) + 4\/a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 31*d + 90. Let q be v(-18). Solve 4*l + s + 4 = -q*l, 5*s = -3*l - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202630036 and 492?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.10593842 to two decimal places.\nAnswer: -73.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 4*t)*(17 + 1 + 14) + 2*t + 3 + 0 - 4*t in the form p*t + v and give p.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1214, 8, 53137 in descending order.\nAnswer: 53137, 8, -1214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/1*(-2)\/(-2). Suppose 19 - 3 = 2*j. Let b = j - 87\/11. Sort b, 2, c.\nAnswer: c, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*x = -338*x - 558*x + 31152 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - 33. Solve -3*n = -5*t - j, 40 = -5*t - 4*n - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + -0.5. Let l = -87 - -90.1. Let s = l + v. Which is the nearest to 2? (a) s (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 8. Let k(h) = -3*h + 16. Let l(i) = 3*k(i) + 5*n(i). Calculate l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 69, -1, -9 in descending order.\nAnswer: 69, 5, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.5, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 7*v - 4. Let j be d(-8). Suppose 0*z + 16 = 8*z. Let h(a) = 3*a**2 + 16 - 17 - 3*a - 4*a**z + 5*a. Calculate h(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8. Let i be (0\/4 - -45)\/a. What is the units digit of (2*3)\/((-9)\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n - 1. Let g be q(1). Let d be g\/(-2) + (2 - 3). Suppose 4*i + 24 + 0 = 4*w, 3*i = d*w - 28. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 530?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/9 + 35344*m\/9 - 35342\/9 = 0.\nAnswer: 1, 17671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24158\/27383847 + 1\/3543. Find the common denominator of 89\/4 and m.\nAnswer: 30916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992.945ug in tonnes?\nAnswer: 0.000000002992945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 + -2. Let i = -0.3 - y. Let k = i + -0.1048. What is k rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.3 - 0.2119408?\nAnswer: -43.5119408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177*v**6 + 5*v**2 - 27*v wrt v?\nAnswer: 21240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -230.42, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 18. Let s(v) = -v + 9. Let q(y) = -7*s(y) + 4*t(y). Let r be q(6). Solve 3 = r*w + 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/5 - 175554*b**2\/5 - 42745872*b\/5 - 2605682344\/5 = 0.\nAnswer: -87533, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 260333*b + 3644656. Give m(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 76*g**2 - 37*g**2 - 36*g**2 + g**3 + 5 + 3*g. Let z be o(-2). Solve 0 = 2*w + 3 + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -7*b - 96. Suppose -2*p = -5*t - b, 16 = 3*p + 3*t - 11. Calculate the highest common divisor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 2*y + 17. Let j be w(-6). Let v = j - 40. Let r be (0 + v)*2 - 1. Solve -o + 0 = r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:22 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -564605494 or -564605497?\nAnswer: -564605494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 4*j**3\/3 - 145*j**2\/2 - 9*j. Let u be c(20). Solve 4 = h - 4*r + u, 3*r - 7 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Suppose -2*u = -5*d - 3*u + 15, f = -4*d - u + 13. Which is the nearest to 3? (a) d (b) 3\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {k: 1, e: 1, t: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 + 788*m**4 - 63524*m**3 - 4608372*m**2 - 9023040*m - 4478976 = 0.\nAnswer: -243, -48, -1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147715306 is divided by 261?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2985 + -2795. Solve -c*r = -184*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -24549\nAnswer: 1\/8183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 35. Give p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*(-3)\/25 + 296616\/(-110). Let x = -2693 - n. Let a = 127\/55 - x. What is the third biggest value in a, 2, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -7, -3, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11807, -5.\nAnswer: -5, -1, 11807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/6 - n**3\/6 - 2*n. Let i be g(-1). Suppose 0 = -6*q + 3*q + 3*m, 8 = -q + i*m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 - 11*u**2 - 16 + 9*u**2 - 2*u**2 + u - u + (2*u**2 + u - u)*(-1 - 2 + 2) + (0*u + 6*u - 4*u)*(-13*u - 2*u + 6*u).\nAnswer: -24*u**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 2. Let h be f(7). Suppose 0 = 2*d + 17 - h. Let u be 12\/d + (-484)\/(-2). What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416760.\nAnswer: 2, 3, 5, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2))**(5\/3)\/(c\/c**(1\/14)*c*c**(-21)*c) assuming c is positive.\nAnswer: c**(109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 109*l. Let k(p) = 405*p. Let w(j) = 15*f(j) - 4*k(j). Let r(x) = -4*x**2. Let n(q) = q**2. Let d(g) = 10*n(g) + r(g). What is w(d(m))?\nAnswer: 90*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 105*r + 2. Let w be q(-32). Let t be 4\/(-26) + 242\/w. Which is the nearest to -10? (a) t (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 5*d + 11 + 9*d - 10*d.\nAnswer: -8*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1709330 to the nearest 10000.\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfhrrtforlholfhhlofl. Give prob of sequence tr.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 + (36 - (13 - 8)) + -7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 27, 64, 115?\n\"Answer: 7*f**2 + 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 31 (c) -10 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*1*(2 + -3). Let p = j + 0. Let v = -0.533 + 0.033. Which is the second biggest value? (a) p (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10166*h = -6079*h - 2111850 for h.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 - 2018 + 82 - 2*k**2 + 176*k = 0. What is k?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*x, -5*x - 6*q = -2*q - 3. Put 12, x, 2 in decreasing order.\nAnswer: 12, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5648059358 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 75\/5 - 30250\/2299?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 24 = 10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, 5, -4 in decreasing order.\nAnswer: 5, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001874983 to 7 decimal places.\nAnswer: -0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 566*p - 15*p**3 - 15*p**3 - 551*p + p**2 + 31*p**3 + 10 to the form l*p + b*p**3 + r + h*p**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 134017042 to the power of 1\/3, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*73.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 60*t**2 - 600*t - 2000.\nAnswer: -2*(t + 10)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - 9. Let c be (355\/(-2))\/(9\/(-18)). Suppose -4*q - 3*r + c = 0, -2*r - 288 = -g*q + 3*r. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.92 + 0.08. Let b be (4\/(-14))\/((-12)\/14). What is the closest to 2 in 0.4, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99685?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3147 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 2*r - 178 - r**3 + 174 - 3*r**2 + 0*r. Let q be ((-1)\/2)\/((-1)\/(-6)). Determine g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 y when four letters picked without replacement from {f: 4, y: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 865166369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (551 - -2)*(0 - -1).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229619795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3168)*-2)\/(sqrt(4)\/sqrt(2)*3 - sqrt(98)*2)*-4*5.\nAnswer: 2400*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 71381*x**2 + 4*x + 20. Let s be i(-4). What is s rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 3*r**2 + 2*r + 2. Let i be l(2). Suppose o - i = -3*f, -8 = 5*f - 5*o + 2. Is (-6539 + f)*1\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2259609\/10 or 225960?\nAnswer: 2259609\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 + -26 + -29 - 16) + -140.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5717?\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 38 - 2)*(2*p + p - p).\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**5 + 40*f**4 - 85*f**3 + 50*f**2 = 0?\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**3 + 74*x**2 + 37*x - 186. Is n(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.2475 + -1.7525. Let s = -1.4 - -1.46. Is w != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -46, -88, -146, -220, -310, -416?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -216 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 + 9*n**2 + 9*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + -2 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a48266 (base 11) in base 10?\nAnswer: -1680036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9461206 and 66.3.\nAnswer: -9461139.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + -4)*2 + 3 - (1 + sqrt(1008) + -1 + -5*(sqrt(1008) + 1)))**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 7. Let x be r(-5). Let n(y) = -6*y**3 - 5*y**3 + 10*y**3 + 3*y + 3*y**2. What is the units digit of n(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4477, 2, -1, -4, 5 in descending order.\nAnswer: 4477, 6, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 964429 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(3 - 3 - l - 22*l + 18*l - 16*l + (-1 + 6 - 3)*(-2*l + 1 - 1)) + 0*l - 4*l + 3*l)*(-1 + 2*l + 1).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:58 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23840, 24134, 24434, 24746, 25076, 25430?\n\"Answer: u**3 - 3*u**2 + 296*u + 23546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -54, -130, -236, -372?\n\"Answer: -15*c**2 - c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1512 + -1511.99999363. Round o to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {r: 1, u: 1, j: 1, b: 1, w: 1, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/4 + 435*h\/4 - 315.\nAnswer: -5*(h - 84)*(h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-nine fifths of a century?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031112312 (base 4) in base 5?\nAnswer: 40114404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-15)*(-75)\/(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-58))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2526239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-400)\/(-279) + -4)*2830902\/1148. Let s = 32304\/1271 + m. Let r = -6305 - s. What is the common denominator of 97\/18 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -1 + -3 + 101. Let g = d + -61. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -8. Let a = 15 - b. What is the second smallest value in a, 0, 0.5, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 2, z: 3, g: 1, u: 3, c: 1}. Give prob of picking 1 h, 1 f, and 1 g.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 41. Let b be -6*2\/4 - 342\/18. Give h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 1:14 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/12 - q**3\/3 - q**2\/2 - 6*q. Let b be a(3). Suppose 3 = f - h + 2*h, -f = b*h - 3. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31849421 and -4.\nAnswer: 127397684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from paxxxamwxxmaxx?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(72)*3*-2)**2 + -4).\nAnswer: -2588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.029 + 0.129. Let g = 9.8 + 0.2. Let f = i + g. Put -2, 0.2, f in descending order.\nAnswer: 0.2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59237900339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 0. Suppose -5*c = -m*c - 15. Suppose 0 = 4*o - 5*o + 2. Solve -3*l + 2 = o*x - 0*x, -c*x = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25303451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + h + 2. Let v be ((-5)\/(-5) + -2 + 2)*3. Suppose g + n - 2 = 2*g, g + 4*n = v. Let q(t) = t**2 - 1. Calculate g*m(w) - 3*q(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2278 - f**2 - 2244 - 2*f**2 to w + g*f**2 + h*f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 8*u + u)*(7 + 2 + 3) - 2*u + u + 0*u.\nAnswer: -49*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2211, -2038, -1751, -1350, -835?\n\"Answer: 57*z**2 + 2*z - 2270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1642? (a) -4 (b) -1\/7 (c) 14 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8994192t to milligrams.\nAnswer: 899419200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/35)\/(12\/(-14)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3 = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2121?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 14759700*y = 0.\nAnswer: -3689925, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*m + 812 = -123*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + c - 2*c + (-3 - 4 + 4 + 1 + 2 - 2 + (1 - 2 - 1)*(5 - 4 - 3))*(31*c + 121 - 121) as i + v*c and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48059, -45881, -43703, -41525, -39347?\nAnswer: -37169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77201747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987192535.\nAnswer: 5, 7, 28205501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1) + 8\/(-10). Which is smaller: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 12, -i + 0*i - u = 112. Let v be 5910\/(-54) - (-24)\/54. Are i and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3524, 3540, 3558, 3578?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 17 (b) 4 (c) -0.4 (d) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 3, 2452, -1.212, 0.3 in descending order.\nAnswer: 2452, 3, 2\/3, 0.3, -1.212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 6 + -46 + 38?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 18) + -9 - (54 - (-2 + 1))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -5 (b) 12 (c) 0 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00279686451 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/25)*b*b**(-2)\/b*b*b\/b**4*(b**(2\/15)\/b)\/b assuming b is positive.\nAnswer: b**(-434\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - a**3 - a**3 + 4*a**2 + 5*a - 4 + 2*a**2. Let x be q(-4). Suppose 5*s - 58 = w, 4*s + 3*w - 27 = x. Which is greater: 2\/9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:36 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 716.24 + -747. Let q = t - -31. Let z = q - 0.265. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 1323\/(-154) - (-1)\/2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-64)\/(-20) - 3). What is the closest to 4\/5 in -4, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48822, -97672, -146522, -195372, -244222?\nAnswer: -293072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1697354 to the power of 1\/2, to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, 56, 211, 512, 1007, 1744?\n\"Answer: 8*w**3 + w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 1)\/(-29 + 27). Suppose 4*m = -p*m + 180. What is the greatest common divisor of 105 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:22 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.4. Which is the closest to f? (a) 0.3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 768471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 3*w - 3. Let n(v) = -v**2 + 10*v - 2. Let u be n(10). What is the tens digit of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 5*o + 103. Let w be b(7). Suppose 59552 = w*v + 13*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 3*o + 4. Let r be q(-4). Suppose c - 2 + 0 = r. Suppose -c*n = -10 - 0. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38 and 20.\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 15 = o, -182*o + 186*o + 5 = -5*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 14. Let j be y(6). Let w = 24 - j. Solve -k = w*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-22110)\/(-693) + -32). Let g = 1 + -11. Sort 2\/3, g, a, -4.\nAnswer: g, -4, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*z - 8, 3*o - 5*z + 16 - 3 = 0. Let s = o + -3. Is s greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/((-2170)\/93))\/(18\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*d**2 - 37*d**2 - 35*d**2 - 27*d**2 - 30*d**2 - 16*d**3.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 5 - 1 - 2 - 3*v - 11*v + 3*v + (2 + 0 + 1)*(-5*v - v + 3*v) as p + u*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**3 - 7*p**2 - 12*p + 8. Give n(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.93 + -0.07. Let v = 1.3 + -1.45. Let c = v + 0.15. What is the nearest to 0 in c, -0.2, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2988405)\/(-126))\/179)\/(1*(-5)\/(-2))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v - 11. Let u be (-40)\/(-18) + (1 - 11\/9). Let s be l(u). Put s, 27, -5 in decreasing order.\nAnswer: 27, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-20) - 143151890\/(-8). Suppose -71845334 = 4*m + y. Let q = -37634830 - m. Round q to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280989 - 163*u + 140613 + 140376.\nAnswer: -163*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771792793 a multiple of 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/287 - 580\/861. Let p = 274 + -272. Which is the closest to p? (a) 0.5 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 10. Let p be c - ((-4)\/2)\/2. Solve -i + 1 + p = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237495523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27090 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*p - 13 - 173, -54 = -p - 4*t. Calculate the remainder when 93 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 - 2*a - 1 - 3*a**2 + 5 in the form g*a + p + v*a**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 7, o: 3, j: 2, f: 3, s: 1}. Give prob of sequence fwc.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*g = -2*a - 18, 4*a + 16 = g. Sort 1, 12, a in decreasing order.\nAnswer: 12, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 1. Let z(t) = t**3 - 13*t**2 + 25*t + 6. Let v be z(11). Suppose 9 = 5*r + v. Let a(l) = -5*l**2 - 2*l + 8. Calculate r*g(q) - a(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + -3 + -14 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*h = -785, -50*z + 45*z = -4*h - 1319. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1324211.\nAnswer: 6\/1324211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4 - 4. Let h be ((-2)\/w)\/1*0. Let s(b) = b**3 + 7*b**2 + 1. Let j be s(-7). What is the closest to h in -3, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = z - 22, q - 3*z = -6. Let r = 975\/2 + -20647\/42. Find the common denominator of q + -8 + (-351)\/(-30) and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1219*g + 15 = -622*g - 612*g. Let r be 36\/8 + 1 + -4. What is the third smallest value in r, 8, g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2698 + -6.7798. What is the closest to 0.1 in -2\/11, -2, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -122 = -431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55762404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 980, 1000, 1054, 1160, 1336?\n\"Answer: 3*l**3 - l**2 + 2*l + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 24. Is -3 - g - 4*-20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24776, 24771, 24762, 24749?\nAnswer: 24732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18092293 - 0.1376.\nAnswer: -18092293.1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 + 4*n**2 - 6*n + 5. Let j(u) = -u**3 + u**2 + u + 1. Suppose 137 = 3*m - 3*q + 83, -2*q - 16 = 0. What is m*j(g) - 2*b(g)?\nAnswer: 2*g**3 + 2*g**2 + 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(26235\/(-2370)) - (1 - 4))\/((-13)\/78)?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*f**5 - 527161*f**3*y - 21713594*f**2 + f*y wrt f?\nAnswer: -5640*f**2 - 3162966*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26501505521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/9)*h**(-5\/3)*h)**13 assuming h is positive.\nAnswer: h**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -225a3 - a45?\nAnswer: -23428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207 - 2*w + 109 + 276 + 98.\nAnswer: -2*w + 690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:43 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4335 and 18?\nAnswer: 26010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30073917 to the power of 1\/2, to the nearest integer?\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from geeeweew.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9425448 is divided by 17552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -2 - 17 - 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**3 + 2*p**2 - p + 2. Suppose -5*s = -6 - 4. Let z be q(s). Suppose -5*l + 10*l = z. Solve -4*c = -l - 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/5262 and 121\/5507560.\nAnswer: 16522680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55873, 111743, 167611, 223477, 279341, 335203?\nAnswer: 391063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -3\/23027?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**3 + n**3 - n**3)*(-21216 + 67124 + 37042 + 26893 + 1619) to t*n + g*n**2 + i*n**3 + m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaalsaqvddq. What is prob of sequence vq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3822 and 78.\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2253420 and 9\/1048.\nAnswer: 590396040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -8\/17, -2\/3 in decreasing order.\nAnswer: -2\/7, -8\/17, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**2\/2 - 16*y - 184045. Let c(i) = -i - 3. Let u(r) = -r - 2. Let s(g) = 2*c(g) - 3*u(g). Give s(o(z)).\nAnswer: -z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-1)*(-73474)\/68. Is -6483 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 16, l: 4}. Give prob of picking 1 l and 3 h.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23053927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-18)\/48 + 713\/(-552)) - 14) + -69?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {x: 5, u: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z. Let b(u) = -501*u + 6. Let v(r) = -1000*r + 15. Let d(h) = 5*b(h) - 2*v(h). Give q(d(l)).\nAnswer: 505*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -16 + -4 - (-42 - -30) - -74.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**2 - 33144009*c - 66288006 = 0. What is c?\nAnswer: -11048001, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/315 + (-58864)\/349440. What is the biggest value in n, 2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 10:24 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 55. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -t + 19, -5*t - 3*n + 18 = 0. Solve -3*h + 13*j = 17*j - 23, t = -5*j + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**4 - 200*i**2 - 204*i**2 - 2*i**3 + 607*i**2 + 6*i - 9*i + 3 - 201*i**2 as v + m*i + n*i**2 + c*i**3 + x*i**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**9)*k)**(-21)\/(k\/(k**(8\/11)\/k)*k\/k**(1\/47)) assuming k is positive.\nAnswer: k**(-109734\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1605.4 times 10586\nAnswer: 16994764.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25968713.\nAnswer: 2341, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-67)\/(-402)). Sort -4, -2, r, 3.\nAnswer: -4, r, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*r = 2*s + 10, -4*r - 20 = 0. Suppose 3*q = 26 - 14. Let i be 10*(2\/q + 2). Solve -c + 0*u - s = u, 0 = -5*u - i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/48)\/((-122)\/(-2376) + (-10)\/135).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p - 19*p = 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 32*c + 89. Let q be m(29). Let t = -78 - -77. Put q, 1, -3, t in ascending order.\nAnswer: -3, t, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 502 + 74?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2.78 (c) -2\/61 (d) 16.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-1))\/(12\/60))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + -129. What is the second derivative of k*g + 29*g**3 + 12*g**3 + g**2 - 7*g**3 - 129*g wrt g?\nAnswer: 204*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4802*a**4\/19 + 148764*a**3\/19 + 650254*a**2\/19 + 880008*a\/19 + 383320\/19 = 0. Calculate a.\nAnswer: -74\/49, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 0 - 39 + 0 - 2*o - 16. Let t be u(0). Let k = t + 64. Calculate the highest common factor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -11. Solve -2*q + q = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302120221203 + 11?\nAnswer: 302120221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15390\/2309 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*q + 98*q - 179*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 39*g + 7. Let t(a) = 114*a + 20. Let p(z) = 17*n(z) - 6*t(z). Let x = 34 - 33. Give p(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q - 63. Determine z(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595 and 815?\nAnswer: 96985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60565741 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.19, 1, -0.156723?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72265404*m + 72265575*m - 144531145*m.\nAnswer: -166*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 8*a - 9. Let x be y(-6). Let s = -487 + 513. Suppose x*p - s = p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/4)\/(21\/(-56)). Let h = z + -12. Let b(n) = 2*n**3 - 8*n - 6. Let a(q) = q + 1. Give h*a(i) - b(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-30))**(-42)\/(k\/k**(2\/7))**48 assuming k is positive.\nAnswer: k**(8286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1462\/(-68))\/((-3)\/2 - -1). Suppose m = z - 24. Solve -q = -g - 6, -4*g + 7 - m = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**2)\/(h**(-1\/2)\/h)*h**(-4)*h**8 assuming h is positive.\nAnswer: h**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 3615?\nAnswer: 3621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -15*p + 29. Determine b(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdqtdlittcdd. Give prob of picking 1 t, 1 d, and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 5*(-1 - -2). Let o be 0 + 4 - 4\/(-12)*3. Let q = c + o. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 5, -8.5 in increasing order.\nAnswer: -8.5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -165, -295, -409, -501, -565?\n\"Answer: p**3 + 2*p**2 - 143*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g + 20*g - 72 + 72 to the form u + d*g and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, -1\/4, -1, -2\/9 in ascending order.\nAnswer: -1, -1\/4, -2\/9, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 70606.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3689 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04647 - -60087730?\nAnswer: 60087729.95353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 15*c**2 + 7*c + 13. Let b be p(-6). Find the common denominator of b\/90 + (-8)\/20 and 101\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 12*d. Let f(x) = 20*x - 49*x + 39*x + 4*x**2. Let n(l) = -6*f(l) - 5*h(l). Let q(g) = -2*g + 2. Determine q(n(s)).\nAnswer: 8*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72.2 - 72. Which is the nearest to k? (a) 6 (b) -1\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -16)*-10795*(-56)\/66640?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -5\/3170856 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**3 + 2*b**2 - 33*b + 40. What are the prime factors of o(6)?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/25, -21703, 1 in decreasing order.\nAnswer: 1, -4\/25, -21703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:42 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -415819052 by 1.\nAnswer: -415819052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -dccc?\nAnswer: dccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 - 16*k - 6. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16327?\nAnswer: 29, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 11*f**2 + 24*f - 5. Calculate w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**4\/11 - 4398*w**3\/11 - 40488*w**2\/11 + 311640*w\/11 = 0. What is w?\nAnswer: -14, 0, 5, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/(-9)*3*(-8)\/(-9). Suppose -3*d - 6*q + 6 = -5*q, 4 = 2*d + 2*q. Suppose -2 = d*c - j. Solve -3*l + c = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:37 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**3 - 21 - 2*m + 10 + m**5 + 9 + (2*m - m**2 - 2*m)*(2*m**3 - 2 + 2).\nAnswer: -m**5 + 6*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let d(j) = 4*j - 3. Let t(u) = 6*d(u) + 21*v(u). Let l = -11 - -18. Is t(l) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1539) + -3 - sqrt(1539)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -116031160 + 3?\nAnswer: -116031155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = 13*i + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 2.66, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 181812334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 3*o. Suppose 0 = 5*h - 4*j - 26, -7 - 5 = -o*h + j. Let y(n) = n**3 - 3*n**2 + 3*n - 1. Let i be y(2). Which is bigger: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuu. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/14, 20\/3, 3, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1960 divide 1022421857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 3:15 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -712, -1074, -1436, -1798, -2160?\nAnswer: -2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -15, -4*y - 4*u + 42 + 54 = 0. Which is greater: y or 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*v**2 + 0 - 3*v**2 + 3*v**2 + 4*v**2 - 3*v + 3*v - 2*v**2 + (-3*v + 0*v + 2*v)*(-7 - 6*v + 7) to x*v + b*v**2 + t and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + a + 10 + a + (-2*a - 3*a + a)*(1 + 2 - 5).\nAnswer: 10*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, 1 t, and 1 d when four letters picked without replacement from xdqqtdxedtxetqbt?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3916210206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10962 = 7567*p - 15119*p + 7363*p for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/11 - 36*p\/11 + 80\/11 = 0. Calculate p.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n + 8. Let i be l(-2). Let j(k) = -13*k - 16. Let t(o) = 2*o + 1. Let g(m) = i*t(m) - j(m). What is g(11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 1518222.\nAnswer: -1518214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54077.\nAnswer: 17, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -772.9.\nAnswer: -15.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35, -212, -401, -608, -839, -1100, -1397, -1736?\n\"Answer: -g**3 - 170*g + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 387401086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -37. Let b = -42 + 25. Let a = b + l. Solve 5*d = -0*d + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -4, -1, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/4 + 2*h**3 + 4*h**2 - 6*h + 3. Determine s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/5? (a) -4 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927853 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159594161?\nAnswer: 577, 276593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+971\nAnswer: 970.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22 + 9*f - 21*f**2 + 13*f**2 + 7*f + 4*f**2 + 7*f**2. Give t(-9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 1071*i**5\/4 + i**4\/6 + i**3\/6 - 31*i**2 + 2135*i. Find the third derivative of l(t) wrt t.\nAnswer: 32130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*a + 32, 2*i = 3*a - 11 - 8. Let q(k) = -10*k**2 - 5*k. Let g(u) = u. Give i*g(d) - q(d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 34*p**2 + p. Let l be w(-1). Let z be (1320 + 2)\/(2\/1). Let a be z\/4 - 3\/12. What is the highest common factor of l and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.149134731 + -0.334\nAnswer: -0.184865269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -217200 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 + 5*i - 2. Let n(x) = x**2 + x - 2. Suppose 0*t + h = -5*t - 17, 4*t = -5*h - 22. Let b be n(t). What are the prime factors of s(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*x - 34, a - 24 = -4*x - 1. Suppose 12*c - 7*c - a = 0. Let s(g) = -5*g - 7*g**2 - 1 - 8*g**3 - 5*g**c + 14*g**3 - 2*g**3. Give s(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (1 - (20 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 634 - 626. Solve -20 = -f*o + 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6 - 12 + 5 + 0 - g. Let x be n(-5). Solve -x*j - 10 = 3*o, 4*j - 4 = 2*o + 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 + 2*i**4\/3 + 5*i**3\/6 + 9*i**2\/2 + i - 104. Give v(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942 divided by -213.\nAnswer: 314\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 30*j - 35*j - 2308, -4598 = -2*f + 4*j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13317 from 0.31381653.\nAnswer: -13316.68618347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18396 and 2268?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 9*f + 5. Let j(c) = 2*c**2 - 29*c - 15. Let b be j(15). Let z be y(b). Solve -3*k - z = -2*t, -k - t + 5*t = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14)*-4)\/(30\/105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200\/(-160)*(-4)\/5*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15313 + 15507. Calculate the remainder when m is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrr when three letters picked without replacement from {c: 1, m: 2, r: 8, s: 9}.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2 + 71*z + 1469. What is the units digit of b(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -9. Let f = g - 7.1. Let u = -0.09955 - f. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 7*l**6\/60 - l**4\/6 - l**3\/6 - l**2. List the prime factors of m(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8749 and -8739 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*y + 15 = 0, -2*a + 2*y + 5 = 3*y. Let t = a + 1. Solve 0 = 2*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhahhhaahahdwhhsdda. Give prob of picking 1 h and 1 w.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.652138 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*j + 103*j + 102*j - 312*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/71648280 and -61\/888.\nAnswer: 71648280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9990 divided by -999\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -324537 and -3549712.1.\nAnswer: -3874249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*k + 2*f, 4*k + 12 = 6*k + 4*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 38, 96, 168, 248?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/6)\/((-5)\/175))\/(33\/(-99)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197423236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -19 + 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - -13) + 936\/(-104))*3\/18.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -6\/5 (c) 1 (d) -3.15 (e) -2\/9 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0 + 0*t + t**2 - 1\/180*t**5 - 1\/36*t**4 + 0*t**3. Factor f(h).\nAnswer: -h*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35092, -140366, -315822, -561460, -877280, -1263282, -1719466?\nAnswer: -2245832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -430 - -429. Sort -2\/7, 2, j, -7 in descending order.\nAnswer: 2, -2\/7, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 5. Let s be d(4). Is ((-1)\/s)\/(3\/(-354)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -15.238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -165 + 5*g + g**2 + 149 + 13*g. Let v be -2*-2*5*-1. What is the remainder when 46 is divided by l(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 49*z**4 - 17661*z**3 + 260376*z**2 + 153116*z + 22080 = 0.\nAnswer: -2\/7, 16, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-2 - -1))\/(15\/(-1065)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -35. Let g = 40 - -14. What is the least common multiple of g and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 + 350*u - 2154. Let x be v(6). Solve -2*m + x = 206 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*20\/15 - (0 + -191). Suppose 3*a - o - 123 = -3*y, 0 = -y - 4*a + 121. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 - 29*d**3 + 16*d**3 + 11*d**3 to the form f*d**2 + y*d + s*d**3 + h and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 146444.7 months in decades?\nAnswer: 1220.3725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -57, -31, 3, 45?\n\"Answer: 4*t**2 + 14*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 4 - p - 3 + p**2 - 5*p. Let j be b(8). Let x = 9 + -8. Are j and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 259366.5um?\nAnswer: 0.2593665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.213?\nAnswer: 0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) 1\/31 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-1 - (1 - -2)). Let m be (-8 - -10) + 0 + 0. Let w = -9.2 + 9. What is the biggest value in m, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6967\/5982 + 2\/997. Let u = 8\/589 - -26377\/9424. What is the common denominator of i and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**3 - h + 1. Suppose 2 = 2*n - 0. Let l be u(n). Solve -l = 4*d, 4*z - d = 2*d - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-6) + -24. Let o = h + 34. Calculate the lowest common multiple of 9 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-9))\/((-1)\/3). What is the nearest to j in -1\/4, 0.3, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 27. Which is the closest to 1\/3? (a) v (b) 2\/17 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 111. Let s be -2*(55\/m)\/11. Put 1\/2, 11, s in decreasing order.\nAnswer: 11, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 72*q. Let r(h) be the third derivative of 0 + 0*h**4 + 0*h**3 - 1\/30*h**5 + 67*h**2 + 0*h. Calculate r(i(c)).\nAnswer: -10368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 10*s - 22. Suppose 3*y - 4*q - 18 = 0, 3*y + 0*y + s*q = 0. Let v(h) = 2*h**2 - 3*h**2 + 6*h**y. Let f(g) = -13*g**2. Determine f(v(j)).\nAnswer: -325*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(150) - sqrt(150))\/sqrt(5) + sqrt(30) + sqrt(30) + -5*5*sqrt(30))\/((sqrt(90) - sqrt(10))*-2 - (sqrt(110)*3)\/sqrt(11)).\nAnswer: 19*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -105*y**2 + 102*y**2 - 4 + 6*y + 2*y - y**3. Let l be t(-5). Suppose l*m - 288 = 240. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.979 times 3.9\nAnswer: -253.4181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*l - 2723 + 1095, 0 = -n - 4*l - 799. Which is smaller: n or -813?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30)\/(7\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 3*m - 3. Let c be q(3). Let p be (-12)\/24*-1*c. Suppose p*g = -g + 204. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 11*j**3\/6 - 40*j. Let y(c) = -3*c**2. Determine y(z(o)).\nAnswer: -363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 276365 divided by 155?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -98875 divided by 2825?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 36*h**2 - 10*h - 1711. What is f(-37)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 483, 724, 965?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.8, -3, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-170)\/(-2) - 2). Suppose -3*b = -1 - 8, 4*p = -3*b + o. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**(1\/3)\/n))\/n))**19*(n\/(n*n**(1\/3)\/n))**(-4\/15))\/((n\/(n\/(n\/n**(-4\/7))))\/((n*n**(-3\/13)\/n)\/n))**4 assuming n is positive.\nAnswer: n**(-20693\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-15)*50\/(-4). Which is the closest to 1? (a) 0 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = -35*r - 22 + 262 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 20, -4, 0.\nAnswer: -4, 0, 18, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(-1\/11))*h)))**(34\/7)*(h*h*h**(-3\/8))**(2\/63) assuming h is positive.\nAnswer: h**(14831\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10527098?\nAnswer: 2, 89, 59141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 2, y: 5}. Give prob of sequence ykk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20580641843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0*i**4 + 2*i + 0 + 0*i**3 + 1\/30*i**5 - i**2. Let s(j) = 8*j + 4. Determine b(s(w)).\nAnswer: 128*w**2 + 128*w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (10 + (-34 - -21))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 i when three letters picked without replacement from teakebieeee.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.307*-1.\nAnswer: 1.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/24*(-6)\/(-9)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 423709987.06+12394\nAnswer: 423722381.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -n - 7. Let r = 66 + n. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - j - 7 - 8, 33*g - 3*j + 99 = -5*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 2*b**2 - 2*b**2 - 8 - 13*b - 4*b**2. Let c be l(-12). Put -6, c, -1 in increasing order.\nAnswer: -6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 4. Let a be g(-6). Let t be 14\/(-2)*7\/7. Let d be 9\/(-12) - 6\/(-8) - t. Solve d + 17 = 4*y - a*x, 0 = -4*y - 4*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 2*k**2 + 3*k + 3. Does 28 divide d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20 + 41256\/(-2072) + 2\/(-14). Which is the closest to 2? (a) -0.2 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 1280 - 429 - 426 + 71*c.\nAnswer: 71*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v**(2\/45))\/(v**(-2)*v**(-20)*v))**39 assuming v is positive.\nAnswer: v**(11141\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 60, 97, -29.7, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 k, and 1 l when four letters picked without replacement from {k: 1, l: 5, u: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -584*c**2*h - 2*c*h**3 - 4*h**3 - 82*h**2 wrt c.\nAnswer: -1168*c*h - 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 1 - 41. Let f be 1 - (d - 3) - 6\/(-2). Which is bigger: -8.8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18938*f*j**2 + 9*f*j + 5*f - j**4 + 2*j + 2 wrt j?\nAnswer: -37876*f - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86 + 2634398?\nAnswer: 2634484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 15*d - 32. Let k(n) = 15*n**2 - n. Let h be k(-1). What is the highest common divisor of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*j**3*p**4 - 10*j**3*p**2 - j*p**4 - 430*j*p**2 + 12*p**4 wrt p.\nAnswer: -648*j**3*p - 24*j*p + 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 + 5*p**4\/12 + 13*p**3\/6 + 1205*p**2. Determine y(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 12*z + 6. Let q be u(-6). Solve i + 1 = 3*h + q, -h + 3*i = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15837 (base 12) to base 14.\nAnswer: -b1d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21769437 divided by 7256479?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ift when three letters picked without replacement from iiftxt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 224373214 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**5 + 0*b - 4*b - 3*b**5 + (24*b**4 - 38*b**4 - 40*b**4)*(-3*b + 3*b + 2*b))*(-1 - 3 + 3).\nAnswer: 111*b**5 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1 - 15\/(-2))*(-3)\/(33\/(-1628))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.9000019 - 7.9. What is g rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6277 take away 35940?\nAnswer: -35943.6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928756441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(7\/2)*g)))\/((g\/((g*g*g*g**(-1\/6))\/g))\/g))\/(g*(g\/g**(7\/2))\/g*g*g\/g**(-2)) assuming g is positive.\nAnswer: g**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33012011 - -1401?\nAnswer: 33013412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22462, -44936, -67418, -89914, -112430, -134972?\nAnswer: -157546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1207173756 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3007\/5 - 604. What is the third biggest value in j, 1, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-4 - (-2 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6296)\/(-14) + (-14)\/(-49). Differentiate 450*c + 26*c**2 - d*c - 16 wrt c.\nAnswer: 52*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c - -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = 8. Let a(p) = 2*p**2 + p + 2. Let z(y) = y**3 + 4*y**2 + 2*y + 5. Let s(x) = -5*a(x) + 2*z(x). Calculate s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 475 + 77. Let a = l + -6768\/17. Let f = 139143\/28 - 19877\/4. Sort f, -0.4, a, 0.05 in descending order.\nAnswer: f, 0.05, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 2*f + 23, -10*r + f = -5*r + 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 349 - 67. List the prime factors of j.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = -49. Let v = -20 - y. Solve 2*m - 4*m = v*s + 22, 5 = -5*m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 - -116.2. Which is the third biggest value? (a) 5 (b) -27 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 + 3)*(-3 + 4 - 2)*(-2 + 2 + 2*m)*(-141 - 110 + 16).\nAnswer: 5640*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(((x*x**0)\/x)\/x)*x)\/x)**(-2\/7)*x**(-2\/3)*x*x*x**4 assuming x is positive.\nAnswer: x**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1408 by 2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(170)*-5*-5)\/((sqrt(40) - sqrt(640)*4)\/(sqrt(40)\/(2*sqrt(10)))).\nAnswer: 25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3743203 - 382105 = -27326*g for g.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2326 - 704. Suppose 0 = 2*o + 4, 4*i - x + 384 = o. List the prime factors of i.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -417577\/3 - -139199. What is l in 32\/3*l**2 - 4 - c*l = 0?\nAnswer: -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:27 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -49. Let c be -2 - -4*1 - -2. Suppose 4*l - 5*d = -3, -2*d + 1 - j = -c*l. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 19029442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6*-8 + -2. Suppose r*u + 0*u = 170. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 11. Let m be p(10). Let i = 0 + m. List the prime factors of i*(2 + 2)*-6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7, -68046, -3\/2, -1\/4 in increasing order.\nAnswer: -68046, -3\/2, -0.4, -1\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 241 - 85. Let m = -152 + v. Solve -2*y - m*i + 24 = 0, -3*y = 2*y - 4*i - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 35*p + 22. Let f be g(-17). Suppose -3767 = -3*w - f*c, -8*w + 5*c + 3727 = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12898104 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/119, -0.1, -0.3, -5\/3 in decreasing order.\nAnswer: 2\/119, -0.1, -0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 363 + -363.7. What is the second smallest value in 2, q, -5, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*-4*(2\/12)\/(11\/495*30).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -30. Let q = 10 - w. Which is the second biggest value? (a) q (b) -5 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzq when three letters picked without replacement from {q: 1, x: 1, z: 1, t: 1, s: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 5, -8 in ascending order.\nAnswer: -8, -0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = -489*i + 508*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 - 356.99. Which is greater: r or -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 7065.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-40)\/15*1*(-1308)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 529654935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 19 (b) 0 (c) -11 (d) -2 (e) -2\/5 (f) 0.724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 153*z + 2557. Give c(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - -1147. What are the prime factors of p?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13ac4 - a56?\nAnswer: -1484a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -4.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 29312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.34, -3\/7, 5.9, -10, 0.2 in decreasing order.\nAnswer: 5.9, 0.34, 0.2, -3\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243 + 6?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t. Let d(k) = -52456*k. Give a(d(z)).\nAnswer: 524560*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + o - 103 = 2*a, -3*o = -3. Suppose 8 = 4*t, 5*g + 3*t - a = -8. Solve -2*y - 10 = -3*y - 5*l, g*y + l = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3314 - 3311. Let k(y) = y + 1. Let x = 2 - 6. Let u be k(x). Put u, o, 5 in ascending order.\nAnswer: u, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19576*m = 19565*m + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(96)*1*-1)\/((sqrt(36)\/sqrt(3))\/sqrt(4)))*-4*-5*2.\nAnswer: -160*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(0 + 8\/12). Let c = s + -1. Sort 3\/5, c, 11 in descending order.\nAnswer: 11, c, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/179 (b) 17 (c) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12446355 by 2.\nAnswer: 12446355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 528406639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001799635 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -53*y**4\/2 - 4*y**3 + 1338*y + 7623. Find the first derivative of x(r) wrt r.\nAnswer: -318*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-15) - 192\/(-10). Let d = u - 22. Let s(l) = -l**2 - 2*l - 1. What is s(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-5)*3 - 3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = 0, 2*x = 4*r - 2 - 8. Suppose -r*y = -3*m - y + 6, 5*y + 10 = 5*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 2*o**2 + 3*o + 1. Let j be k(0). Let w be 0 + (-1 + 4 + j)\/2. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*p = 5*p + 12, -2*h + 8 = -2*p. Solve -3*q - 24 = 3*m, -q - h = -0*m - m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 1. Suppose -33 = -2*o - o. Suppose 0 = -5*w + o - 36. Let q(x) = x. Determine w*q(b) + a(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -790, -1154, -1500, -1822, -2114, -2370, -2584?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/630 - 13*b**4\/7 + 932*b**3\/63 + 30*b**2 + 14. Suppose x(u) = 0. Calculate u.\nAnswer: 2, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -3*h - 3. Suppose 0 = -3*y + 4 + 8. Suppose 3*v + 5 = y*v. Which is the third biggest value? (a) h (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g**3 + 2*g**2 - 2*g - 3. Let o be c(-2). Let z = -14 - o. Suppose 5*d + 5*y = z, 3*d - 7*d = 3*y - 19. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -200 and 0.3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 203949240 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6600715967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**3\/3 + 49*d**2\/2 - 37*d. Let i be z(21). Suppose 9 = 8*x - i. Solve x = n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8630, -8602, -8536, -8414, -8218, -7930?\nAnswer: -7532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 42*x**2 + 11*x + 4. Is a(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1\/16 (b) -107 (c) -2\/15 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**3 + 2*h**2 - 2*h - 3. Let n(k) = -27*k**3 + 6*k**2 - 6*k - 9. What is 3*n(b) - 8*u(b)?\nAnswer: -9*b**3 + 2*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 16*u + 8)*(-3 - 3 - 1).\nAnswer: -112*u - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19069 is divided by 367?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1330, -2642, -3950, -5254, -6554, -7850?\nAnswer: -9142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -39*c + 4. Let a(g) = 3*g**c - 5*g**2 - 3*g - 11*g + 3*g**2 + 12*g + g**3. Give a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7915, 15816, 23707, 31582, 39435, 47260, 55051, 62802?\n\"Answer: -p**3 + p**2 + 7905*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323)*1 - sqrt(1323) - sqrt(1323))\/((sqrt(45) + sqrt(180)\/sqrt(4))\/sqrt(5))*-4*3)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1389470 and 15\/4351.\nAnswer: 318188630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(1*(sqrt(144) + (sqrt(144) - sqrt(144)*2)) + sqrt(144)))\/(2*sqrt(12) + -2*sqrt(3)*1).\nAnswer: 2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -48, -3?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, g: 2, n: 1}. What is prob of picking 2 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(-20))\/(((-420)\/(-12))\/(-140)) + -10 + -10?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/22)\/(-120 + 133118\/1111). Factor -24*t + 864 + 1\/6*t**v.\nAnswer: (t - 72)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2492.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*(p\/p**2)\/p*p)\/p)**(-21))**(3\/11))**(1\/19))**(-31) assuming p is positive.\nAnswer: p**(-1953\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 16. Let p = j - -8. Let u be (8\/(-110))\/(p\/5). What is the third biggest value in u, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r**2 - 4*r + 1. List the prime factors of q(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.66 rounded to zero decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309535.\nAnswer: 5, 31, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, 3\/4, -1\/10, 1\/2, 25, 81 in ascending order.\nAnswer: -5\/6, -1\/10, 1\/2, 3\/4, 25, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5497*s**2 + 22*s + 64. Let d be 21 - -2 - (11 + -7) - -3. Let h be w(d). What is h rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18566000 to the nearest 100000.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p. Suppose p*u = -3*u. Suppose 4*j = 4*a + 11 - 99, u = -3*a - j + 58. Calculate the remainder when 37 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 plus -34082767390888?\nAnswer: -34082767390884.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-3695)\/(-10) - 3\/2. Suppose 4*u - f = -356. Let k(v) = 35*v + 9. What is the units digit of k(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 9*w**2 - 25*w - 10. Calculate k(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -186841 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w + 16. Let q(v) = v**2 - 1. Let b be q(2). Calculate the remainder when n(b) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (8 - (3 - -7)) + -10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose c = -z - 2, 4*q - c - 882 = 0. Calculate the greatest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 1. Let m = -565 - -568. Let d(r) = -50*r**4 - 3*r**3 - 112*r**2 - 3. Let s(h) = m*n(h) + d(h). What is the third derivative of s(b) wrt b?\nAnswer: -1200*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -319701\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4860 and 59\/22132926.\nAnswer: 221329260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 10*h**2 - 11*h + 21. Let p be t(9). Let y be ((-84)\/(-8))\/3 - p. What is the closest to y in -3\/8, -4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 10056*w - 10058.\nAnswer: 2*(w - 5029)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 35*q**2 - 143*q + 208. What is the least common multiple of 6 and x(29)?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 591759.7 weeks?\nAnswer: 357896266560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 28*x = -362*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -7\/125388 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18 - -16 - -21) + -19. Solve 15*c - 19 - 56 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -1.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1109*o + 6102. Calculate j(6).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388530 is divided by 64755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 102 (b) -1\/4 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slo when three letters picked without replacement from {l: 1, j: 1, c: 1, o: 1, d: 2, s: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from rgrrrrrrrrrrrrrrrrr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 1 - 4*w**3 - 10*w**3 + 13*w**3. Let k(b) = -21*b**3 + 24*b**2 + 24. Suppose -h + 0*h + 2*o = -1, -15 = 3*h + 3*o. Calculate h*k(i) + 72*g(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1754)\/3*1*-1*66\/22. Are -1\/3 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 - (30 - (-6 + (4 - 23))) - -12\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 56.8. Let i = -1.4 - 0.2. Let l = 1.3 + i. What is the third biggest value in 1\/2, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-255))\/((-9)\/(-30)*8\/11).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:49 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*y = -2 + 13, -y = 2. Suppose 3*w = 9 - 24. Put w, 1, v in decreasing order.\nAnswer: 1, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130.8 + 130.8. Which is the closest to i? (a) -0.3 (b) -4 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -3 (b) 7 (c) -455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4144 = -10*x. Find the common denominator of x\/(-60) - 2\/(-6) and 27\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/11)\/((-96)\/(-176)*11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11564416.\nAnswer: 2, 167, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 252*c - 38. Let v be p(9). Suppose -8*g = 2*g - v. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/20)\/2*20\/(-28). Let u = -1.6 - -2. Which is the closest to g? (a) u (b) 2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 10*l - 10. What is j(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -68. Let t(x) = -2*x + 9. Let w(r) = 2*r - 8. Let d(q) = h*t(q) + 3*w(q). Let n be d(5). Solve 10 = n*a - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -456.2312?\nAnswer: 2281.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/26*((-29)\/(-9) + -3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047149 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.14 + -2.34. Let x = f - -21.2. Let i = x - 18.71. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.94 in -662, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -313, -296, -279, -262, -245?\n\"Answer: 17*v - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -87873d9 + 4?\nAnswer: -87873d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 13, 2, -1662, -0.2, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, h: 1, y: 2, w: 1}. What is prob of picking 2 y and 1 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33590, 48080, 62570?\n\"Answer: 14490*b + 19100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a factor of 306350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(-1) - (-2 + 0)\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 5. Let a = -5 - -5. Suppose a = -6*s + 2*s - 16, m + 5*s + 13 = 0. Let v be u(m). Solve -7 = -g - v*f + 3*f, 31 = 3*g - 5*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 3*k, -5 = -3*j + 2*k. Suppose 0 = 2*m - i - 31, -20 - 53 = -j*m - 2*i. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6431424 (base 7) to base 2\nAnswer: -10111110101001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11102 and 13774166?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3557, -6167, -8777, -11387?\n\"Answer: -2610*a - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**3 - 10*w**2 + 5*w - 5. Let l(u) = -4*u**3 - 5*u**2 + 2*u - 2. Let q(z) = -2*z**2 + 12*z - 16. Let j be q(3). Determine j*p(g) - 5*l(g).\nAnswer: 2*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1092*u + 3 = -1083*u, 23*l = -u - 755 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-5)\/(-2)) + 6\/(-4). Which is smaller: -1\/344 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 14*l**2 - 501*l + 27. Is h(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7 + 3 - x**3 + 2*x + 9*x**2 - 2*x. Let c be v(9). Let l = 14 - c. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12.2487103 and 4?\nAnswer: 8.2487103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(1\/2)\/v)))**(-15)*v**0\/v**(1\/3) assuming v is positive.\nAnswer: v**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from wcwcpcww?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l = 48*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 + 2*v**2 + (-3*v + 15 - 15)*(2*v - 4 + 4))*(2 + 4 - 5).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 367236339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 6*i - 3. Let z be b(-4). Suppose -28 = a - 3*p + 20, 4*p = -4*a - 224. Let s = z - a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(16) - (sqrt(16)*-2 + sqrt(16)))\/sqrt(4) - sqrt(4))*6)\/(-4*sqrt(128) - 1*sqrt(16)\/sqrt(8)))**2.\nAnswer: 128\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126795842?\nAnswer: 2, 1523, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-250)\/(-15)))\/(3\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 57 + 46 - 5*a**2 - 2*a**2.\nAnswer: -7*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*b = -4*m - 4, 0 = -4*m - b + 12. Solve -n + 5*i = -4 - m, 5*n + 3*i + 26 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 7. Suppose 5*y + 1 = -m + 2, 5*m = -3*y + 5. Let r = b - m. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:11 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 675461443 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + 32*w**3 + w**2 - 19*w**3 - 4 as b + x*w**3 + y*w + t*w**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 85, 170, 255, 340?\n\"Answer: 85*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15353 or 0.1?\nAnswer: -15353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -36?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 10, -23, -76, -155, -266, -415, -608?\n\"Answer: -q**3 - q**2 - 9*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 13. Let u be q(9). Suppose 4*a - 11 = u. Solve a = -v + 6*v + 3*b, 0 = 3*v + 3*b - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -18*f + 25*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*(-117)\/(-72))\/((3*1\/(-1))\/6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*k + 342*k - 60*k to the form w + a*k and give a.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1\/833 (c) -0.063 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1977 = 61*a + 183 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 128512944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {a: 1, w: 10, c: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 45832?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -449?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235408299*z**4 - 227831206?\nAnswer: 941633196*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 30*m - 228. Let t be r(12). Which is smaller: 997 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49818 in -5, 5, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(112) + sqrt(112))**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 0 - 1 + 1.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 6. Let m = -15 - -11. Let f be u(m). Suppose -4*c = 2*c - f. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-245.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Solve -t*r - 2 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -86, -8 in decreasing order.\nAnswer: -7, -8, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/75*(-9)\/4*1300\/1170?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y**2 + 4*y**2 + 2*y**2. Let d(u) be the third derivative of 1\/30*u**5 + 0*u**3 + 0 - 51*u**2 + 0*u + 0*u**4. Calculate d(n(t)).\nAnswer: 722*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202201202200002 + 10?\nAnswer: 1202201202200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231377543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2 - f + 14. Let u = -3 + 3. Suppose 4*n - 18 - 2 = u. Calculate the remainder when t(0) is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:57 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4404 divided by 1468\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-2 + 2*z + 2) - 1905*z - 2222*z - 2724*z.\nAnswer: -6849*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*s + 2*s, 0 = h + 5*s + 15. What is the units digit of 114\/10 + 8\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/61056548 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.663*4909\nAnswer: 3254.667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1897143 + 0.037.\nAnswer: 1897143.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 546*v + 59*v + 118 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47139, -93267, -139395, -185523?\nAnswer: -231651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + m - 1. Let v(g) be the third derivative of -g**5\/60 - 7*g**4\/24 + g**3\/2 - g**2 - g - 61. Calculate -2*b(n) - v(n).\nAnswer: -n**2 + 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16, -2 in decreasing order.\nAnswer: -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*j*y - 22*c**2*j + c**2*y - 2*c**2 - 9*c*j - 157*c*y - j*y wrt y.\nAnswer: -c**2*j + c**2 - 157*c - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1046237443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 161\/28 + ((-1)\/1)\/(-4). Let u(o) = -o**2 + 9*o - 14. Give u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/8 (b) 3\/5 (c) -4 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -8\/18085, -0.09 in descending order.\nAnswer: -8\/18085, -0.09, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*v + 9, 5*v - 5*v + 17 - 45 = -5*s - 48 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 5:44 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.85 + 95.85. Let a = w + -94.039. Let t = 0.038999 + a. What is t rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 106744*p\/5 + 4162678\/15.\nAnswer: 2*(p - 160103)*(p - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384634?\nAnswer: 2, 192317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 4455244?\nAnswer: 4455243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25619, -42321, -59021, -75719, -92415?\nAnswer: -109109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -119*b**3 + 55*b**3 + b + 59*b**3 - b**2. Let j(a) = -4*a**3. What is 3*j(h) - 2*r(h)?\nAnswer: -2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65990 + 3a3?\nAnswer: 66173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 - 3*n**3 + 2*n**3)*(-49*n - 12*n - 3*n) to the form q*n**4 + x + i*n**3 + a*n**2 + l*n and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48e - 4d?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 35*n**2 + 38*n - 80. Give k(36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/88 and -5\/1172848.\nAnswer: 12901328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -41*u**2 - 23*u + 34. Let m(h) = 11*h**2 + 8*h - 11. Let t(q) = 2*a(q) + 7*m(q). Determine t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167108 and 66.8.\nAnswer: 11162814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-567))\/(504\/1296)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*f + s + 769, 4*f = 5*s + 789. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145658 to the power of 1\/2, to the nearest integer?\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4950 + -19801\/4. Suppose 0 = 5*s - 3*h - 90, h + 58 = 3*s - 0*h. Let u be ((-3)\/(-5))\/(s\/30). Sort 0, c, u in ascending order.\nAnswer: c, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -371*v**5 + 414*v**2 wrt v?\nAnswer: -22260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2525 (b) 34 (c) -882\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6674334*a + 3157300 wrt a.\nAnswer: 6674334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 34*r**2 - 25*r + 77. Is z(-30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*o - 47 + 5, 5*p + 40 = 5*o. Calculate the remainder when 24 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, j: 3, i: 1, m: 4}. Give prob of sequence mm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7368)\/(-384) - 20)*-4.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u. Let x be (0 + -6 + 3)*-1. Suppose 0*b - 5*b = x*s - 15, -b + 3 = -5*s. Let h(y) = -y - b*y - 2*y**2 + 4*y. Determine h(t(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100035 divided by 13\nAnswer: 7695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -362d1 (base 16) to base 8\nAnswer: -661321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4\/5, -275, 0, 0.098, -1\/8 in decreasing order.\nAnswer: 7, 0.098, 0, -1\/8, -4\/5, -275","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*j - 12, -17*j - 5*s = -16*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.224 times 1177\nAnswer: 263.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -475, 32738.\nAnswer: -475, -2, 32738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15066 (base 11) in base 13?\nAnswer: -9959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961736 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 54*r**2 - 13*r - 18. Let d be x(-2). Let q = d + -197. What is the remainder when q is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*n - 299 = 0, 0 = 2*d - n - 4*n + 132. What are the prime factors of (39101\/d)\/(1\/(-3))?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 606 - 322. Suppose 148 = -3*g - l. Let n = 206 + g. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(4 + -3) - -11. Suppose 2*j = -t, -2*z - 3*j = -0*z - 1443. Let l = -434 + z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7275 and 3783.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-55))\/(((-9)\/(-495))\/(31\/31))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -536, -1025, -1386, -1559, -1484, -1101, -350?\n\"Answer: 10*i**3 + 4*i**2 - 571*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*r - t - 7, 3 = -t. Let k(s) = 11*s**2 - 2*s + 1. Let g be k(r). Let w be 4\/((-40)\/(-18))*g. What is the greatest common divisor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.39 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 6b6c?\nAnswer: 6b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*79\/237.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 25*a**3 + 11*a**2 + 21*a + 11. Let u(c) = 5*c**3 + 2*c**2 + 4*c + 2. Give 2*f(l) - 11*u(l).\nAnswer: -5*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 200?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318834 divided by -250.\nAnswer: 159417\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9)\/(-5))\/((8142\/(-37996))\/((-80)\/14)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - u**2 + 4. Let d(v) be the second derivative of v**2\/2 + 5*v. Calculate 5*d(y) - p(y).\nAnswer: 2*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1768511584 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 + 2*d**3 - 4 - 2*d**2 + 6*d**2 - 5*d**2 to x*d**2 + p*d**3 + i*d + y and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -107*l - 5485. What are the prime factors of o(-110)?\nAnswer: 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**2 + 205*k + 63. Does 31 divide r(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 4125, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7 - 17. Let f = 42 + 6. Calculate the highest common factor of d and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9) + (-5)\/3. Suppose -30 = 3*x + h - 9, -2*h = -x. Let z = m - x. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*t - 1)*(1 + 4 - 6) - t - 2*t + 2*t)*(-3*t**3 + 4*t**3 - 6*t**3).\nAnswer: 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = -3*o + 2, 3*k + 17 = 5*o. Let s = 3 - k. Suppose j - 8 = -2*h, 2*h + 0*h + 2 = 4*j. Solve -5*y + 4 = -2*r, -s*r - 5 = j*y - 5*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6920173 minus 131?\nAnswer: -6920304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1, -1, 0, -13, 0.03 in ascending order.\nAnswer: -13, -1, -0.3, 0, 0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 35*c - 28 = 37*c, 0 = q + 5*c + 10. Calculate the lowest common multiple of (-123)\/(-3) + 2 + -2 and q.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1689 + -1682. Let i(r) = 2*r**2 - 11*r + 10. Give i(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -560*i + 1108*i - 46*i**2 - 552*i - 3 to the form y + j*i + d*i**2 and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*a - 1189*a + 428*a = -401*a - 528 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -p, 3*m - 5*p - 3 = -2*p. Let b(f) = 11*f**2 - 7*f**2 + 15*f - 5*f**m. What is the tens digit of b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -52. Calculate the lowest common multiple of ((-4)\/10)\/(w + (-120)\/(-125)) and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - q - 5. Let y(o) = -o**2 - 25*o - 145. Let a be y(-12). Let v(s) = -8*s**3 - 2*s - 14. Determine a*n(w) - 4*v(w).\nAnswer: -w**3 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*j = -277*j. Solve y - 4*y - 6 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24129593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l - 112*l = -3*o + 19, 2*o - 3*l = 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 + 35*h + 315. Let f(n) = 4*n**2 + 18*n + 150. Let c(w) = 7*f(w) - 3*j(w). Give c(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91767.32 minutes in microseconds?\nAnswer: 5506039200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (7 + 972\/(-45)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 1599610.\nAnswer: 100775430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131144490.\nAnswer: 2, 3, 5, 1457161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996276598?\nAnswer: 2, 461, 2165159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000392 is divided by 4718.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19155757 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -7*l**2\/2 - 39*l - 2308. What is h(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2295 and -17.4905024?\nAnswer: 2312.4905024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4088)\/876*120\/14.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rurr when four letters picked without replacement from {l: 2, r: 5, u: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-30)*2*3. Let m(t) be the third derivative of t**4\/24 + 102*t**2 - 1. Let g(a) = 2*a. Give s*g(k) + 3*m(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, f: 1, v: 3}. What is prob of sequence vx?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 7*x**5\/60 - x**2 + 474*x. Let k(y) = -47*y**2. What is k(h(q))?\nAnswer: -2303*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1296759.367 - 1295745. Let j = 1074.62 - t. Let z = j - 60. What is z rounded to two decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 336816142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (408\/(-36) + 2 - -11)*(-36)\/(-10). Let g be -3 - 5\/((-5)\/(-8)). Let v(s) = 7*s**3 - 9*s + 4. Let q(t) = 4*t**3 - 5*t + 2. What is g*q(i) + p*v(i)?\nAnswer: -2*i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1661352 + 0?\nAnswer: -1661352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262042*v**3 + v**2 - 262043*v**3 - v**2 - 10*v + 10*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(38)\/sqrt(2)*5)**2 + -2 - (2*(-1 + sqrt(19)) + 5 + sqrt(931)).\nAnswer: -9*sqrt(19) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442 (base 7) to base 3.\nAnswer: 22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -45. Suppose 0 = -2*z + 5*b - 157, -b + 143 = -2*z + 6. Let u = -68 - z. Put h, u, 0 in descending order.\nAnswer: h, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(847)*1 + sqrt(847) - sqrt(847))*-5)**2)*4 + 1 + (sqrt(847) - 3*(sqrt(847)*-2)**2) + sqrt(847) + -1 + sqrt(847) + 3 + sqrt(847) + -3.\nAnswer: 44*sqrt(7) + 74548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262960, -2102210, -7094454, -16816186, -32843900, -56754090, -90123250, -134527874?\nAnswer: -191544456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/300 + 7*q**5\/50 + 49*q**4\/20 + 343*q**3\/15 - 24*q**2. Factor j(t).\nAnswer: 2*(t + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -14*u**2 - 3000*u + 239816 = 0.\nAnswer: -1934\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 4*v - 3*v)*((0 + 2 - 1)*(-2*v + 2*v + 2*v) + 85*v - 25*v + 61*v) in the form u + z*v + q*v**2 and give q.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.09 - 1199.7?\nAnswer: -1197.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 w when three letters picked without replacement from {x: 5, e: 2, q: 9, w: 3}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5364*h + 0 + 2.\nAnswer: 5364*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/9 (c) 4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7673876, -7673878, -7673880, -7673882?\n\"Answer: -2*p - 7673874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(10584\/48))\/(3\/14*2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 4*s - 16*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 0*f + 2*f - 38*f**2.\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -19*n + 401. Give o(22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*k**3*t**2 - 8*k**3*t - 128*k**2 + 3*k + t**2 + 1 wrt k?\nAnswer: 318*t**2 - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcfcrrcfcfrc. What is prob of sequence ccr?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174*g + 216 - 216)*((-6 + 4 + 1)*(-4 + 0 + 2) + 1 + 2 - 2 + 1 - 2 - 1 + 2 - 1 + 1 + 1 - 8 + 0 - 5 + 14 - 1).\nAnswer: -696*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:25 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 39 - 19 = -3*a, 4*a = -2*b + 84. Let w(q) = 2*q + 13. Let o be w(8). Let u(d) = d + 45. Calculate the least common multiple of a and u(o).\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42a + -4?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1321103 (base 7) to base 9\nAnswer: -283608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*t*z**4 - 951*t*z**3 + 1846636*t*z**2 wrt z?\nAnswer: 4464*t*z - 5706*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 43*j - 116760 = 0. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15176850 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3652688051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jojr when four letters picked without replacement from {m: 1, j: 2, r: 1, e: 2, o: 3, d: 8}?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Solve q = -q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 1 - 5*p + 5.\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8365330 is divided by 222.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.1. Let z be -4 - (1 - 3\/(-3)). Which is the third smallest value? (a) z (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (1 + -4 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1208778*n**2*p**2*t - 4070*n*p**2*t + 98*n - 2*p**2*t - 2*p**2 wrt n.\nAnswer: 2417556*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -129, -1 in increasing order.\nAnswer: -129, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8533512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*d + 8 + 2, d + 4*j = 22. Let q = -17 - -23. Suppose q*g - 25 = g. Let t(k) = 2*k - 4. Let a(c) = -3*c + 9. Calculate d*a(u) + g*t(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 23*g - 8. Let i(w) = w**3 - 8*w - 3. Let y be 2\/((-54)\/(-87)) + 26\/(-117). Give y*u(o) - 8*i(o).\nAnswer: o**3 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowwwwooooowoo. What is prob of sequence ooww?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/4 + 0 + -2. Let m(z) = z**3 - 6*z**2 + 3*z + 20. Let r be m(4). Solve -b*y**5 - 3\/2*y**4 + r*y**3 + 0 + 3\/2*y**2 + 3\/4*y = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 26 = -2. Suppose -t*y + 56 = -4*y. Let v(c) = c**3 - c**2 + 47*c - 448. Let o be v(6). Calculate the greatest common divisor of y and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(405)*-2 + 0)**2 - (1 + (sqrt(2000) - -2*sqrt(2000)) + 0)**2.\nAnswer: -11496 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*b + 288. Suppose 5*p = 67 + b. Let h = p - 18. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:31 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*m**5 - 10*m**4 + 193*m**3 - 6*m**2 - 194*m**3 + 6*m**4 + 4*m**4 - 4827*m wrt m?\nAnswer: -1320*m**3 - 6*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from fyffypyfyyyyyy?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 3*y - 3. Let l = -7 - -10. Let o be -4 + (-2 - -5)\/l. Let p(x) = -5*x + 9*x**2 - 2 + 4 + 3. Give o*p(b) - 5*a(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 191, 286, 381, 476?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/3, -3, 2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 2:23 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584496 and 10552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21522000 to the nearest 100000.\nAnswer: 21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 7:50 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Let c(y) be the first derivative of y**5\/20 + y**3\/3 + 3. Let n(q) be the third derivative of c(q). What is a(n(x))?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.42 - 6.92. What is the second biggest value in i, -3, -2, -137?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -646, -2532, -6518, -13378?\nAnswer: -23886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9173 and 0.5?\nAnswer: -4586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgrdrdejdorgdgeee. Give prob of sequence ogd.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 543.522 + -545.2. Round u to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(3 - 43\/15). Let l(p) = p**3 + p. Let x(h) = 12*h**3 + 15*h. Let g(n) = z*l(n) + x(n). Determine o so that g(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:16 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7596876, 7596849, 7596786, 7596669, 7596480, 7596201, 7595814?\n\"Answer: -3*j**3 - 6*j + 7596885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 6}. Give prob of sequence xkkx.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - (2 - 13 - -4). Solve -5*x = -w*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1.97, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 166 - 3690 + 34 = 0. Calculate the remainder when 154 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -70, -5 in ascending order.\nAnswer: -70, -5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16260090664.3 and 0.0715?\nAnswer: 16260090664.3715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497686 is divided by 497634.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**2)*(h**(-8)\/h)\/h)**28*(h**0)**(-13)*h**(-2)*h*h\/h**(2\/15) assuming h is positive.\nAnswer: h**(-3362\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278906 = -3*g - 5478906. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n + 4*n**4 + n**3 - 2*n + n**2 - 4*n**2 - 3*n**2 to the form x*n**4 + l*n**3 + f*n**2 + c + h*n and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 35. Solve -3*n = z - 8, 3*n - z - 32 = i*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -55*l - 801. Let a be c(-15). Put a, 9\/4, -0.2 in descending order.\nAnswer: a, 9\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4 - 29*d**3 + 93*d**2 - 95*d + 32 = 0.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686624.9059 rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b**(-8\/9)*b)\/b)*b*b\/(((b**(-16)*b)\/b*b)\/b))\/(((b**(-2)\/b)\/b)\/((b**(-1\/4)\/b*b*b*b*b)\/b)) assuming b is positive.\nAnswer: b**(923\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -0.2 (b) 1\/7 (c) -1.8 (d) 142\/11 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0475 or 1436?\nAnswer: 1436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*t - 14 = 0, 4*t = 2*i + 2*t + 4. Which is the closest to 1\/3? (a) -5 (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76393 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405701469 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: Let m = 1939.22 - 1992. Let z = 0.22 - m. Let i = -52.99999958 + z. Round i to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, t: 5, v: 3, f: 2}. What is prob of picking 2 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nttotopoonnywyn. What is prob of picking 3 o and 1 w?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9002231 + -0.2?\nAnswer: 9002230.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3 - 3 + 6 + 19*z**2. Let l(o) = 29*o**2 - 7*o - 14. Let y(w) = 25*w**2 - 6*w - 12. Let g(u) = 6*l(u) - 7*y(u). Give f(g(h)).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.1. Let w = 116251 + -116252. What is the nearest to w in 1.4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06136287314 rounded to 6 dps?\nAnswer: -0.061363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 748 - 32 = 0. Calculate the greatest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 - -159. Suppose -4*g + 0*x + 86 = -2*x, 0 = -3*g - 4*x + s. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -200, -2 in increasing order.\nAnswer: -200, -19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 7*w - 18*w - 4.\nAnswer: -23*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4153162 - 114790.63.\nAnswer: -4267952.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 3 + (-13)\/3)*6. Solve -s*a - 4*n = -16, a - 7 = 2*n - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406570412, 813140824, 1219711236?\nAnswer: 1626281648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 45 = 7*y - 3*l, 5*y + 2*l = 45. Let p = -9 - -11. Suppose 21 = y*k - p*k. Solve b - k*b = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 2. Let x be t(0). Let f be (4\/x)\/(6\/15). Suppose 0 = u - 4*r + 2*r - 2, f = r. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -140.058 - -5.908. Let z = 309 + -445. Let p = z - s. Round p to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5)*1 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-6 - -1)*(-17)\/5. Let h be 1\/(-2)*(-12)\/(-8). Sort 2, g, h in ascending order.\nAnswer: h, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:39 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 + f**5 + f**5 + (0*f**2 - f**3 + 0*f**2)*(3*f**2 - 3*f**2 - 7*f**2) + 58*f - 58*f + 40*f**5.\nAnswer: 49*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4\/9, 0.1, 13, -13, -5\/32?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoccuuloulhouu. Give prob of picking 1 h and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/80682 and 49\/4.\nAnswer: 161364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-5)\/2)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 149?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -0*u + 7*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 130*f - 7294. What is p(56)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l\/(l**(-2\/41)\/l))*l*l**(9\/5)*l**17\/(l*l**1*l))**(1\/2) assuming l is positive.\nAnswer: l**(1717\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17442 and 612?\nAnswer: 34884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**12\/(i**(-27)*i)*i**(-3\/17)*i*i*i**(-13\/2)*i)**38 assuming i is positive.\nAnswer: i**(22173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285 - -282. Let n(b) be the first derivative of -2*b**3\/3 - 5*b**2\/2 - 2*b + 5. Calculate n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143558071.99273 + -143557365. Let d = -707 + o. Round d to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*r**2\/3 + 7481*r - 22404.\nAnswer: -(r - 3)*(13*r - 22404)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*f**2 + 53*f**2 - 25*f**2)*(2*f**2 - 2*f**2 - 3*f**2).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*d + 17 = 0, 5*h - 5*d = 5 + 140. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -26)*5\/((-30)\/(-56)). Suppose q = 10*o - 6*o. What is the remainder when o is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22516 + 22?\nAnswer: 22541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 1:33 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154178 or -1695954\/11?\nAnswer: -154178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3564\/(-110) - -33)*(-7*2 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16166 (base 9) to base 3\nAnswer: 120012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/12*24\/(-8). Solve -1 = l*f - 4*v, 0 = 4*f - 7*f + 3*v - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9321*a**2 + 14243*a**5 + 15104*a**5 - 36795*a**5 wrt a?\nAnswer: -446880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230519725?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/2 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2007519 > -2007518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let l = -0.3929 + -0.0071. Let v = -12 - -11.8. Which is the smallest value? (a) v (b) 2\/5 (c) l (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630, -2585, -5838, -10389, -16238, -23385, -31830?\nAnswer: -41573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 278. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34030303*r**3 + 73*r**2 - 1456*r + 2 wrt r.\nAnswer: -204181818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18962546, 37925092, 56887638, 75850184?\nAnswer: 94812730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 5*v**2 + 7*v - 2*v**2 - 9 - v**2. Calculate the remainder when (-3)\/(2*(-1)\/2) is divided by b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 108 + 480 = 0. Let t = -101 + r. Let a be (-32)\/t + 4*5. Solve 5*x = a - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.3212 millennia in months?\nAnswer: 5739854.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 8. Let v(m) = -2*m - n*m + m. Let j(a) = 3*a**2 - 32116*a + 32116*a. Calculate v(j(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(396) + -4)*-1)**2.\nAnswer: -864*sqrt(11) + 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*g - 1524*g + 258*g.\nAnswer: -1465*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = -h, r - 55 = 2*h - 42. Let w(y) = -y + 1. Let t(l) = -6*l + 22. Give r*t(a) - 3*w(a).\nAnswer: -3*a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038615 rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 71. Solve -5*z + y = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1294*h + 1296*h + 26 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-24) - (-10)\/48. Suppose 13*z - 8*z = -25. What is the third biggest value in z, s, 6\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1159.582 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 1, -4\/3 in descending order.\nAnswer: 1.3, 1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-48) + (-15)\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, 177, 671, 1437, 2481, 3809, 5427?\n\"Answer: j**3 + 127*j**2 - 160*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28458.462 months in decades?\nAnswer: 237.15385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*y - 40, 2*q + y = -8 + 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/26)\/(-7 + (-4654)\/(-676))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.142 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v + 310. Let d(g) = -5*g. Give -2*d(w) + j(w).\nAnswer: w + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 36*a**4 + 48*a**4)*(4 - 5 + 3 + (2 + 1 - 5)*(4 - 5 + 0) - 4 + 0 + 2).\nAnswer: 174*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*12\/(-36)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8574+-0.07398785\nAnswer: 8573.92601215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/4*s**5 + 15\/4*s**4 + 135*s - 231\/4*s**3 + 0 + 297\/4*s**2 = 0. What is s?\nAnswer: -12, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (348\/(-812))\/(2\/42). Let q(i) = i + 16. Calculate q(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.69 + -0.79. Let i = 9.9 - h. Let v(x) = -x**2 - 5*x + 2. Let w be v(-6). Put w, i, -1 in increasing order.\nAnswer: w, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45766*o - 45703*o - 756 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3690325 and 350?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20 + 14)*(28\/(-6))\/7. Suppose 0 = -5*u - 5*b + 50, 5*u = -0*u - b + 30. Solve 9*l - u = d*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 4 - 3*l**2 - 23*l**4 + 4*l + 22*l**4 + l.\nAnswer: -(l - 1)*(l + 1)**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/t**(1\/7)*((t\/(t**(2\/7)\/t))\/t)**(-19))**(-50) assuming t is positive.\nAnswer: t**(9425\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -960*q - 830. List the prime factors of j(-6).\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 51. Suppose 0 = s - 2*f - 10, 2*f = 2*s - f - y. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -369172 and 0.1538.\nAnswer: -369171.8462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/78)\/(2\/116))\/((-82)\/(-2952)*-24)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4740 and 365340.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21433955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:20 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 - 59. Let d = f + -126.0242. Round d to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3372.3 + -2992. Let q = -383 + p. Round q to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -1207*w**6\/30 + 2961*w**2\/2 + 1822*w. Find the first derivative of g(y) wrt y.\nAnswer: -4828*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 7*h**2 + 6*h - 3. Let k be a(4). Let s be 40 + 2 - (9 - 14). Calculate the remainder when 9 is divided by s\/9 - (-6)\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 + (-24)\/(-15). Suppose 4*s = 4*f, -10 = -2*f - 2*f + 2*s. Sort -2, f, b, -1.\nAnswer: -2, -1, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-7*1\/140*-8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(10\/8) + 5015\/(-1258). Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*a + 10, 0*a - 4*a - 3*b = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2924198 micrometers in centimeters?\nAnswer: 0.00002924198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 10, g: 6}. Give prob of picking 1 e and 1 f.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326 and 22.\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2 + 546*j + 4404. Calculate a(-51).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 q when four letters picked without replacement from dccllocogdcoqclqcllc?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548060 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 + 121 = 34*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + 0 + 0 - 4 + 4 + 4*w + (-w + 3 - 3)*(32 + 7 + 38).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*x = -x + 45, 3*z = 2*x + 20. What is the least common multiple of 50 and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5761*b + 158 + 63 - 6*b**2 - 219 + 8*b**2 + 1532*b to the form v + t*b + c*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = 12*m - 12630. Let u = -406 + m. Solve u*s - 16 = 19*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**4 + 87*j - 257?\nAnswer: -4*j**3 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.88, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/7)\/f*f)**8 assuming f is positive.\nAnswer: f**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*2 + 5 + -4)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -130001*w**2\/2 + w - 1. Let n be b(1). Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-35)*z)\/((z\/z**(4\/7))\/z*z))\/((z\/(z**(1\/11)*z))\/z**4))**(-6) assuming z is positive.\nAnswer: z**(-18786\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2047 + 2080.5. What is u rounded to 1 dp?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*y - 5*m + 6*m, 4*m - 80 = -4*y. Suppose -y = 4*r - 3. Is 2*2\/r - -13 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 - 138*w - 504 = 0?\nAnswer: -42, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303386100.\nAnswer: 2, 5, 13033861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 20\/3 + -3. Factor 4\/3*f + 0 - j*f**2.\nAnswer: -2*f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*p + 19 = 0, p - 2 = -3*c + 4. Suppose 3*w - 23 = -4*g, 4*w = 3*w - 2*g + 9. Sort w, c, -1 in descending order.\nAnswer: w, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 15*x**2 - 11*x + 13. Let m(o) = -2*o**3 - 8*o**2 - 6*o + 6. Let h(u) = 2*u**2 - 93*u + 209. Let b be h(44). Determine b*m(q) + 6*d(q).\nAnswer: -2*q**3 - 2*q**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 6*x)*((-3 + 3 + 3)*(-1 - 1 + 3) + 3 + 3 - 3).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:29 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2520 by -504.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 962696 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -7*b**4\/12 - b. Let m(l) be the first derivative of 3*l**3 - 856. Give m(p(w)).\nAnswer: 441*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 10*o - 8. Let h be m(6). What is the tens digit of 3*(-1 - -4)\/((-6)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79276 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 59*k**2 + 33*k + 50. What is q(-29)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-681 - 943*a - 203 + 938*a)*(a + 3*a - 3*a) to f*a + w + g*a**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36\/(-21) - -2)*42\/12. Sort 15, p, -4, -2 in ascending order.\nAnswer: -4, -2, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/54*12\/20. Which is the second smallest value? (a) -4 (b) -4\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1462 = 2*i, 0 = 4*j + 5*i + 109 + 1054. Let y = 482 + j. Calculate the remainder when y is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122031423 - 0?\nAnswer: -122031423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -51945700 to the nearest 1000000.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29589121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141023571, 141023570, 141023569?\nAnswer: 141023568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 1:40 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 524*m**2 - 3*m. Let n be j(-1). Suppose -6*p + 4*p + n = -3*q, 1330 = 5*p - 5*q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 40*f**3 - f**2 - 7*f - 6. Determine c(-2).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxxxkxxxxxxgxgkkkx. What is prob of sequence gkxx?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -2\/19, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 266\/3 - 88. Which is the closest to j? (a) -0.1 (b) -2\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/210*(-2 - 13\/(-3))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -34. Which is the second biggest value? (a) w (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 (base 10) in base 14?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:18 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j + 324 = -61*j + 3*f + 76, -4*j - 224*f = -40*f + 944 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68575251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2069395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1516 and 18?\nAnswer: 13644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -337178 divided by -34?\nAnswer: 9917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3583400 and 63\/425.\nAnswer: 60917800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9853, -10473, -11107, -11761, -12441, -13153?\nAnswer: -13903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g - 5. Let v(f) = -5*f - 4. Determine -3*u(j) + 4*v(j).\nAnswer: -5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a**5 - 11876304*a**4 - 3526167292730*a**3 - 1410417511684*a**2 + 14104669171080*a + 5641860067600 = 0. Calculate a.\nAnswer: -593815, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9176 and -56\/9.\nAnswer: 82584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 + 5*z - 9. Let s be k(-8). Suppose -4*i + s = i. Solve 0*o + i = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/12 (b) -0.2 (c) -1 (d) -5 (e) -412880\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18886 is divided by 2358.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12593 and -5.\nAnswer: 62965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, n: 2, s: 2, w: 1, o: 1}. What is prob of picking 1 m and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 324. Let i(f) = 3*f**2 - 6*f + 32. Calculate the remainder when m is divided by i(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33a5189 - 3?\nAnswer: -33a518c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/((-6)\/(-4))*2093\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*-3 + (-1)\/(-2). Let c be 15\/(-28) - (-1)\/4. Let g be 25\/10*8\/(-30). What is the nearest to c in q, g, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -8. Let b = 491 + -495. Let s be (-1)\/(b + (-26)\/v). Is 0.15 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 6, t: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, s: 1, f: 1, j: 5}. What is prob of sequence sw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3043335*s**2 - 4386703 wrt s?\nAnswer: -6086670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 13) to base 10.\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2 and -2.563?\nAnswer: 15.8906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 363 + 493. Let o = r + -139. What is the remainder when o is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22\/77*9\/12\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3557 = 54*u - 190 - 1599 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 149 - 14456*c**3 + 14467*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -99. Let o = g - 10. Suppose 2*v = o + 3. Calculate the remainder when 23 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 2*m = m - 2*b + 4. Suppose 14*n = 9*n - m*q + 7305, 5*q = 25. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 10. Let q be j(-6). Suppose -10*d + q = -196. Solve 1 = u + 3*h + 14, d = -2*u - 4*h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*t - 154*t + 42*t)*(-10 - 8 + 14)*(2 - 3 + 2) as p + x*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 8. Suppose -30 = 2*s - 0*s. Let y be q(s). Let g = y - -175. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 8*m + 0*m)*(-5 + 2 + 1)*(2 - 2 + 3)*(-3 - 1 + 5 - 4 + 6 + 0 + 2 - 1 + 1 + 6 - 3 - 1 + (5 - 2 - 2)*(1 + 5 - 4)) as l*m + b and give l.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13254458 is divided by 4727.\nAnswer: 4677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88624 by 4.\nAnswer: 22156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 39. Let h = 13 + b. Let f = -57 - -62. Solve 5*y = -2*j - 7, j + f*y - h*y + 5 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 201. Put -7, -1, t in increasing order.\nAnswer: -7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16516 - 2742 = -3*b + 23846. List the prime factors of b.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/7 + 125*z**2\/7 + 841*z\/7 - 7205\/7 = 0. Calculate z.\nAnswer: -11, 5, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-3)\/(-6)*3. Suppose 0*o - 2*o**3 + c*o**3 - o**2 + o + 3*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166793 divided by -257\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58320 and 377136?\nAnswer: 5657040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 2)\/(-5)*-12. Calculate the common denominator of 61\/9 and ((-77)\/b + 4)\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 3 = -j, 3*r - 7 = -2*j. Let a(v) = 61*v - 1. Let m be a(r). Is 6 a factor of (-35)\/2*m\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12548 - 12608.21. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 2.9. Sort 2, l, 2\/9.\nAnswer: l, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 25*w - 40. Let g be (-6)\/(-15) - 8\/w. Find u, given that 0*u**3 + 2\/7 + g*u - 4\/7*u**2 + 2\/7*u**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {z: 1, w: 2, x: 2, b: 1, r: 1, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/3 + 1548*w**3 - 50738*w**2\/3 - 80208*w + 647080\/3 = 0.\nAnswer: -5, 2, 14, 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -55, -62, -73, -88, -107?\n\"Answer: -2*b**2 + 3*b - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -382457 (base 9) to base 15\nAnswer: -488b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**7\/10 - j**6\/20 - 7*j**5\/20 + j**4\/4 - 3*j**2\/2 - 5*j. Let g(d) be the first derivative of t(d). Factor g(p).\nAnswer: 3*p*(p - 1)*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*x)*(59 - 6229 + 12099) to w*x + f and give w.\nAnswer: -11858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/9*15\/(-50) + -3. Let m = -5.3 - -5. Let h = -1113 - -1112. What is the nearest to -0.03 in q, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 393, 349, 317, 303, 313?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249*n + 1249*n + 4*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**2\/2 + 90*c - 8. Let w be p(0). Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfyfffffffff. Give prob of sequence fyff.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/3 - 93928*l\/3 - 1102808648\/3 = 0.\nAnswer: -23482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005140 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4\/41, 1, -1\/39, 0.5, -3\/17, -15?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11208818.\nAnswer: 2, 83, 67523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62933 is divided by 336?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28992 - 6?\nAnswer: 28987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8254.2969 minutes in days?\nAnswer: 5.732150625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 + 134. Let r = u - -204. Let q = 161 - r. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -9 (c) -0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343031 is divided by 79?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.318 - -0.122. Let h = s + -0.74. What is the third biggest value in 1\/7, h, 1\/10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/108 and -149\/42.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ba05 - -1?\nAnswer: -1ba04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508524543*o**3 - 167761412*o**2 wrt o.\nAnswer: 3051147258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - 222*s - 4*s**3 + 108*s + 115*s + s**3 to m + c*s + t*s**2 + o*s**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 + 20127*b\/7 - 20128\/7.\nAnswer: (b - 1)*(b + 20128)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.9 + -47. Which is the second biggest value? (a) -3 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-1560)\/3380 + 1401533\/3036683) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99145 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o. Let f(q) = 7 - 5 - q - 15. Give f(c(r)).\nAnswer: 2*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -54. Let j = 16 - n. List the prime factors of (-4)\/j*2\/((-20)\/(-505)).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40088401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 4, 5 in increasing order.\nAnswer: -3, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83069932 by -20767483.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and 88647 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 + 21430*s**2 - 1601485*s - 45551550 = 0.\nAnswer: -4359, -22, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204181 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-19\/2)*p**0*p*(p**(-15)*p)\/p*p\/((p*p**(-30))\/p*p) assuming p is positive.\nAnswer: p**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:08 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 987, 1059, 1123, 1179, 1227?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 11) to base 4.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 - 50*o - 45. Let a be j(-6). Solve -a*x - 12 + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32366*f - 16184*f - 16178*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 1. Let t be m(3). Let d be (286\/(-312)*2\/11)\/(2\/(-8)). Which is the nearest to 2? (a) -3\/2 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14481?\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i + 3*i + 2*i)*(0*i + 2*i - 3*i) + 23*i**2 - 63*i + 63*i to the form r*i**2 + b*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1818 - -1819. Solve 11*q + i = 10*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 76 + 182 = 0. Suppose -4*j + 830 = 4*h - l, -4*h = 5*j - 911. Let c = -156 + h. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 3*r - 3*r + (-5*r + 2*r + r)*(6 - 1 - 1).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 19\/30043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1125.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 9, e: 10}. Give prob of picking 1 k, 2 j, and 1 e.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j - 4. Let k be g(-3). Suppose -3*s + 5*a + 47 = -11, 0 = 4*a + 8. Do s and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -78.815277545074.\nAnswer: -85.815277545074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198734 or -1\/70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + 0 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*r - 531, -3*n + r - 1110 = -999 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 - 339 = 5*p. Suppose 10 = -o - 4*s - s, p*o - 4*s = 37. Solve -o*i - 4*k - 45 = 0, 0 = i + 2*k + 7 + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*l + 112 = -40*l. Solve -l*m - 5*a + 24 = 0, -m - m + 2*a = 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101 + -1010?\nAnswer: 11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.04248 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13100 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -101 + -74?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -36. Let k be (-94)\/o + (-2 + 8)\/(-18). Let m be k\/88 - (-255)\/11. Solve -m = 5*c - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a - 1. Let g(w) = -w**2 - 2*w + 4. Let m = 7751 - 7747. What is m*d(h) + g(h)?\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/32*2 + 11\/14. Suppose -p + 6 = 5*z, -36*z - 4*p + 6 = -34*z. Put 0.4, m, z in ascending order.\nAnswer: m, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from uuukdrdkdrrudukr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.82 + 0.58. Let j = u - 6.79. Let m = j + -0.11. Sort 5, 10, m.\nAnswer: m, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87817107 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5033*h = 5047*h - 56 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1165525 divided by 46621?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssf. What is prob of picking 2 s and 1 f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 41*f**3 + 1051*f - 1630*f + 578*f in the form z*f + k + j*f**3 + x*f**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 370, 6\/17, 3\/4, -1, 1, -0.3?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106578 and 67518.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 102*j**2 + 2*j + 38*j**2.\nAnswer: -64*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*d = 1103*d + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 20 = -84*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 101267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 89, 129, 181, 245, 321?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -23\/60*i**6 - 5\/24*i**4 + 0*i - 1\/2*i**3 - 29*i**2 + 1\/30*i**5 + 0. Find the second derivative of d(a) wrt a.\nAnswer: -276*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 479*z - 56246. What is p(-263)?\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 496435261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + o**3 + 6 + 0*o + 2*o + 5*o. Suppose 15*i - 2*i + 78 = 0. Calculate x(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 3 - -7) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -9*u + 192. Suppose -6*w + u = 4*k - 8*w, -2*k + 22 = 2*w. What is the highest common factor of 126 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 291 = 4*p. Suppose 0*z + 3*z - p = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + p - 15, 62*k + 52*p - 181 = 51*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*p - 30 = -8*y, -2*y = -2*p - 24. Suppose 2*j + 65 = y*j. Solve -6*k + 2*k = 2*s, -1 = -2*s - j*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 2, -1\/13, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-21)*b)\/b)\/b**(-2\/107) assuming b is positive.\nAnswer: b**(-2138\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3126*b**3 - 2181*b**3 - 3417*b**3 + (3*b - 2*b**2 - 3*b)*(6*b - 3*b - b) - 6*b**3 - b**3 + 4*b**3 in the form r*b**2 + y + l*b**3 + v*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3\/6 + 2*h. Let w(y) = 2*y + 2. Let j(s) = -6*s - 7. Let n(r) = 4*j(r) + 14*w(r). Calculate c(n(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-36 + 200 + -15)*(-1)\/(-108) and 91\/204.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2022984 divided by 3.\nAnswer: 674328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(3 - 1) + 6. Suppose 2*b - 4*b + 40 = -j, -4*j = -s*b + 97. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2634802922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2742460*c**3 + 151*c**2 + 9*c - 187 wrt c?\nAnswer: -16454760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 4*l - 103, -3*o - 5*l = -94. Let a = -8 + o. Suppose 4*i + 5*k + 4 - 44 = 0, -5*k = i - a. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s. Suppose 0 = 5*v - 6 - 39. Let f = v - 9. Let t(j) = f*j**2 - 3*j**2 + 2*j - 2*j. Give m(t(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94339, -754786, -2547423, -6038344, -11793643, -20379414?\nAnswer: -32361751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/(-5) + -4 + 4 + -2. What is the smallest common multiple of 6 and 1440\/100*x\/(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o**2 + 6*o + 8. Let s(n) = n + 5. Let k be s(-9). Let i be x(k). Let t = i + 677. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1017 or 683.36?\nAnswer: 683.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 3)\/((-22)\/(-374)*17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*f - 3*a + 8, 4*a = -2*f + 24. Let p(o) = -f*o - 3 - o**3 - 9 - 6 + 15 - 4*o**2. Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*(8 - 3). Suppose y + 387 = 5*d, -2*d + r*y + 144 = y. Calculate the remainder when d is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*z - 69 = 0, 0 = 5*z - 6 - 9. Suppose -29*l + 68 = -o*l. Solve 0 = 5*u - l + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 63 - 38 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7030409 millennia?\nAnswer: 7.030409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(121)\/((sqrt(11) - sqrt(44)\/sqrt(4)) + sqrt(11))) + 4 - (sqrt(704)*-6)\/sqrt(4)) + -4.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3 + 68 - 1544*d**2 + 1544*d**2 wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 156*q**2. Let p(d) = -3285*d**2. Give t(p(c)).\nAnswer: 1683431100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q = 12*q + 4*l + 16, -5*q + 21 = l. Suppose -q*g - 3*g = -889. List the prime factors of g.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*s**3 - 146*s**3 + 13*s**4 - 9*s**4 + 32*s + 5*s**2 - 145*s**3 - 4*s**2 to the form d*s**3 + r*s + m*s**2 + c*s**4 + o and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -165, -172, -179, -186?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.6 + 12. Let l = 0.91 + -3.91. Which is the third biggest value? (a) 5 (b) l (c) u (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 572307.386 to the nearest 1000.\nAnswer: 572000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 26587460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g + 107*g - 9 = 0. Suppose -9 = w - 2*j, 0*w - 2*j = 4*w - 4. Let c(x) = -21*x + 1. Calculate the remainder when c(w) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Suppose u = 5*z - 2 - 8. Suppose 3*j - 6 = 5*j, 3*c - 36 = z*j. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.200496?\nAnswer: -0.801984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 15*w**2 + 3*w. Let q(b) = -120*b**2 - 25*b. Calculate -25*n(p) - 3*q(p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -37, -64, -91, -112, -121, -112, -79?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:53 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -7, 2, -0.04, 8\/11, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568 and 730830548?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3\/7, -2\/9, -0.07?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2*sqrt(363))**2 - (-2*(sqrt(3) + 1))**2).\nAnswer: -8*sqrt(3) + 1434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -897, -827, -729, -609, -473, -327, -177?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -18 + -2221 + 2271.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -69.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.03775 to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5*y - 66 = 0. Let v be (-1)\/(-54)*y*6. What is the third smallest value in 1\/3, -2\/3, v, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*u - 6*u + 4*u - 5 + 2*u**2 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/7 - 8\/14 - -35881. Suppose 6*l + h = 12*l. Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 5*a + 9, 3*t + 7*a - 9 = 2*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, -609402, -2 in decreasing order.\nAnswer: 335, -2, -609402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40262868 divided by -2368404?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8869 < 895832\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -7, -359 in increasing order.\nAnswer: -359, -7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 minus -460?\nAnswer: 461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -190445.3 + -4.1\nAnswer: -190449.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 154?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + -1.17. Let h = -0.742 - -0.042. Let q = 1.7 + h. Which is the closest to q? (a) -1\/9 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -50 + 25 - (5 + -88 + (-6 - -3))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12113124 - -1?\nAnswer: -12113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.2885 + 57.5. Let d = o + -0.227. What is d rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 27*f - 115. Let i(w) = 81*w - 341. Let d(n) = 7*h(n) - 2*i(n). Let s be d(5). Let x(v) = -v**2 + 14*v - 14. Determine x(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.2002 and -0.1059038.\nAnswer: 6.0942962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 2. Let r be t(0). Suppose -b + 0 = -4*z - 2, -5*z - r*b = -4. Let o = 10 + -13. Put o, -4, z in decreasing order.\nAnswer: z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/5 + 126\/26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2*-1)\/(17 + -7)). Let o(c) = 45*c**2 - 8*c - 24. Let n be o(z). Let t = n - 810. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4502 + 4537. Calculate the remainder when 2288 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 14. Let y = 502\/5 + -223\/2. Find the common denominator of (2\/(-4))\/(b\/148) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*g - 9 + 9 in the form r + w*g and give w.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38237 = -4*n + a, -2*n - 3*a + 996 = -18133. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5765956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.74 + -12.9536505.\nAnswer: -24.6936505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6000, 6644, 7284, 7920?\nAnswer: 8552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 60 = 4*d. Suppose 0 = 2*b - 7*b + d. Suppose b*n - 4*n = -3. Solve 0 = -2*v - p - n, 3*p + 2 = -v + 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220121110202 - 12220?\nAnswer: 220121020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 803076400 to the power of 1\/3, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c + 0*c)*(c - 2*c + 2*c) - c**2 + c**2 + c + 9*c**2.\nAnswer: 10*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023481215 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6991508.\nAnswer: 2, 1747877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + l**3 + 313 - 313 to the form m*l**3 + t*l + o + k*l**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 + 27*q**2 + q + 10. Calculate p(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 0*w**2 + w**3)*(211*w + 206*w - 860*w + 207*w - 118*w**2 + 209*w).\nAnswer: -118*w**5 - 27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194308109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.976222 to two dps.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/2 + 12*p**4 - 75*p**3 + 10*p**2 + 591*p\/2 + 198 = 0. What is p?\nAnswer: -1, 3, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 19*p + 20. Calculate the smallest common multiple of z(-19) and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) -1 (d) 37 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) -0.4 (c) -503 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 7*b + 20. Let a be l(9). Suppose -v = 3*y - 414, a*v = 6*y - 10*y + 550. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a15 (base 15) to base 11\nAnswer: -1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlpprhhpp. Give prob of picking 1 l and 2 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*n**5 + 2*n - 112 wrt n.\nAnswer: 6080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -92062.0906 to the nearest ten.\nAnswer: -92060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - r**2 + r - 1. Suppose 0*x = -5*x - 15. Let t = x - -4. Let y be (-4)\/(-8)*(t + 1). Calculate f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -49. Suppose 2*c - 12 = -4*j, -c = -7*j + 6*j - 3. Sort j, 4, r, 5 in decreasing order.\nAnswer: 5, 4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:26 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -351 (base 6) to base 4\nAnswer: -2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*x - 1921 = 1391 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11738270153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247\/36 - 64\/9. Which is the closest to 0.1? (a) -5 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -226*r + 5. Let a(f) = 779*f + 2. What is a(g(q))?\nAnswer: -176054*q + 3897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110669791 divided by 6.\nAnswer: 110669791\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:49 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2183625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41461463.\nAnswer: 379, 109397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q + 5*q)*(-4 + 4 - 6)*(1 + 0 + 0) as j*q + y and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 48*a**2.\nAnswer: 2*a**2*(a + 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 16*v + 133. Suppose -5*y = -4*s + 86, 0 = 29*y - 28*y - 5*s - 8. Calculate f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**4 - 9*f**3 + 9*f**3)*(67 - 30 - 29).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80819647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*b + 746 = 453*b + 2946 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144050033873 - -0.2.\nAnswer: -144050033872.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33.466 * -0.1\nAnswer: -3.3466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 641 a factor of 19577240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:48 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43817*j*n**2 + 556*j + 111132148*n**2 with respect to j.\nAnswer: -43817*n**2 + 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 + -94. Let z = -37 + b. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = -9. Suppose 4 = 5*o - w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3*15\/2. Suppose -4*w = -9*w + 10. Suppose -d*y = p + 20, 5*p + 12 = w*y + 47. Solve 3*t = 5*i - 12 - 8, 5*t - p*i = -20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60 or -20440?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 23 = -5*x, -6*x = -x - 25. Is ((-20)\/15)\/a + 3577\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0002 in 1, -0.17, -2\/7, 701?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -1\/6 (b) -4 (c) -2\/381\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/(-2) - 28\/(-7). What is the closest to 2\/7 in -5, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 30*o**2 + 36*o - 56. What are the prime factors of r(-32)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*h - 7*m + 3*m = -328*h + 9 + 7, h - 12 = 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.283591l in millilitres?\nAnswer: 283.591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**25\/x)\/(x*x**(-19)))\/(x*x*x*x\/(x*(x\/(x\/(x\/x**(-25)))*x)\/x)*x\/(x\/x**(-2))*x) assuming x is positive.\nAnswer: x**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i + 98 = 675 + 977 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 10 - 44 = 10*q, 9*q - 57 = -4*u + 14*q - 2*q for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 26. Let p be k(-10). Let l be (-22)\/(-99) - (p\/18)\/2. Let i = -0.05 - -0.45. What is the nearest to 0 in l, -1\/5, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*d + 152*d - 86*d**2 - 70*d to the form a*d + s + j*d**2 and give j.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 2*d - 4, 4*k - 4*d = -k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 5*y + 5*y + 4*y to i*y + w and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**4 - 5*m**3\/3 + 3*m**2 - m - 11. Let b(r) = -5*r**3 + 6*r**2 - 7*r + 1. Determine 6*b(a) + 7*n(a).\nAnswer: -2*a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 - -268. Let a(n) = 11*n + 277. Is 40 a factor of a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxt when three letters picked without replacement from jstxwfs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrxndxdxddrn. What is prob of picking 1 n and 2 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75953 - -75893.9584. Let k = -8.2 + -50.8. Let l = o - k. What is l rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 + (-90)\/4)\/((-3)\/88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 2*x = 0. Suppose x = -2*z + s - 3, 3*s + 6 = 5*s. Solve z = 5*o + j + 14, 5*o = 4*j - 0*j - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (596\/149)\/(((-23)\/(-483)*-14)\/(1\/93))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321 - -319. Let o = 119 + -75. What is the least common multiple of (q\/4)\/((-2)\/o) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*-2*sqrt(637) + 6*-1*sqrt(91)\/sqrt(63))*-1.\nAnswer: 5 + 58*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5769164 and -39?\nAnswer: 5769125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -30.2. Let q = n - -3.79999864. What is q rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2360, -4698, -6958, -9098, -11076, -12850?\n\"Answer: 7*f**3 - 3*f**2 - 2378*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - 24\/10. Suppose d = 4*q + 3 - 10, 2*d + 5*q - 12 = 0. Put 2, c, d, -3 in increasing order.\nAnswer: -3, c, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74.2435 and 0.\nAnswer: 74.2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -375, -379, -383, -387?\n\"Answer: -4*t - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14 + -8)*1\/(-2). Let r be a - ((-2)\/(-4) - 16654\/4). Suppose 681 = -2*l + m + r, l - 3*m - 1737 = 0. What is l rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.002 - -0.002. What is the closest to n in -0.08, 2\/11, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 14*k**2 - 14*k + 9. Determine x(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 3*s - 4. Let v be -3 + -1 - (10 - -6)\/(-2). Suppose -v*l + 22 = u, -4*u + l + 4 = -4*l. Calculate x(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmxr when four letters picked without replacement from xrmmrmxrxrmrmrrrx?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzqqrppnyrzyy. Give prob of picking 1 n and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -9) + (0 - 7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 492.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 18 - 26 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17523845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198.44462 or -2\/7?\nAnswer: -198.44462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5905631.\nAnswer: 53, 111427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 7. Let c(y) = -252*y + 18. Let o(p) = 29*p - 2. Let v(m) = -c(m) - 9*o(m). Give q(v(k)).\nAnswer: 243*k**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*((1 + 0 + 0)*(-2*w + 2*w + 3*w) + 173*w - 62*w + 142*w).\nAnswer: -512*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*m**2 + 18*m**2 - 5 - 43*m**3 - 2*m**4 + 12*m**3 to the form p*m**4 + x*m + g + o*m**2 + w*m**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*z - 13 = 5, 3*v - 2*z - 54 = 0. Let x(j) = -4*j - 38. Let d be x(-14). Do v and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 5:28 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.94 + 0.06. Let x = 0 - i. Let d = 1.1 - 0.8. Which is the closest to -2\/7? (a) d (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/6733 - -87559\/67330. Calculate the common denominator of w and 281\/(-924) - 1\/(-3).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160223396 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -24, -14, -2?\n\"Answer: q**2 + 5*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58353 and 56392.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380\/304 - (-42)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**4 + 76*m - 76*m - 3*m**4 + 0*m**4 + 4*m**4 + (3 - 3 - m**3)*(-3 + 2*m + 3).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.11 (b) 0.1 (c) 0.4 (d) 2\/363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 2*i**5\/15 + 157*i**2. Let x(c) = 16*c - 8 + 8. What is h(x(p))?\nAnswer: 2048*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -21*p + 9. Let g(v) = 7 + 13*v - 11*v - 12*v - 3. Let m(i) = -9*g(i) + 4*z(i). Let b(k) = k**2. Determine b(m(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/2)\/s**(1\/5)*(s*s*s**0)**(-39) assuming s is positive.\nAnswer: s**(-787\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 + -65. What is the remainder when j is divided by (6\/(-4))\/((-1)\/24) - 2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 5. Suppose 7*b - 90 = -6. Suppose f + 19 = b. What is d(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 731314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 395 = -819 + 378 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((3*(-2)\/120*-2)\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1 + 1 - 5*v**4 - 5*v**4 + 4*v**2 + 6*v - 2*v**5 - 4*v**3 + 4*v**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23590.161 nanoseconds in minutes?\nAnswer: 0.00000039316935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -56. Suppose 2*q + 23 = z*d - 16, 3*d - 30 = -q. Solve s = -v + 7, 2*s - d = -v - 0*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (734*s + 24484 - 24484)*(-2*s**3 - 3 + 3) + (1 - 2*s - 1)*(0*s + 0*s + 4*s**3) as o + p*s**3 + m*s**2 + t*s**4 + f*s and give t.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 8, m: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20242 (base 5) to base 6\nAnswer: -10042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 1. Let z(w) = w**2 - 5*w - 1. Suppose -5*x + 25 + 0 = 0. Let i be z(x). List the prime factors of j(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 9 + 14 + (0 + 0 + 1)*(-6 + 4 + 0) + (-2 + 0 + 4)*(2 - 3 + 2))*(3*b + 2*b - 3*b).\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5376722ms to microseconds.\nAnswer: 537.6722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136972797863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 378867803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 1897012*g**2 - 1897012*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-30)\/(i**(-3\/5)\/(i*i\/i**6))*((i*i*i*i**(1\/4))\/(i*i**(3\/7)*i))\/(i*i*i\/i**(-1\/2)*i)**(-12) assuming i is positive.\nAnswer: i**(-1201\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370122839?\nAnswer: 370122839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.48 - 0.02. Let p = s + -0.5. Sort p, -0.1, 4 in increasing order.\nAnswer: p, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19718493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1317 + -1309 - (40 - 3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113123132 + 32132?\nAnswer: 113221330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + 7*y - 10. Let n be o(3). Let r = 16 + n. Solve -2*l - 3*l + 20 = r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d + 2. Calculate the least common multiple of 15 and r(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 51*x = 6992. Let k = x + 17392. Round k to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.226 - 1673940.\nAnswer: -1673941.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 + 2. Suppose -m - m = -10. Let p be b(m). Factor -2*n**2 + 5*n**2 - n - n - n**p.\nAnswer: 2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/36707 and -89\/47564.\nAnswer: 3377044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -3*s, 5*l - 6 = -2*s + 1. Let g = 43 - 43. Suppose -5*o = -4*o - 2. Sort l, g, o.\nAnswer: g, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6746000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 61*r + 119*r - 59*r + r**4. Let f(o) = 0*o**3 + 3*o**4 - 3 - 9*o + 3*o**4 - 15*o**3 + 9*o**2. Let q(c) = -f(c) + 12*h(c). Factor q(v).\nAnswer: 3*(v - 1)*(v + 1)**2*(2*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + (-2)\/2. Suppose 7*o - 2*o + a - 21 = x, 2*a + 10 = 3*o. Solve -o*d = -0*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -473*a**2 - 478*a?\nAnswer: -946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knpz when four letters picked without replacement from ppkpppppnppnkzpknpk.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q**2 - 5*q + 5. Let j = -43 - -48. Let r(b) = -5*b**2 - 3*b + 3. Let o(i) = j*r(i) - 3*h(i). Let m(z) = -3*z**2. Calculate m(o(f)).\nAnswer: -75*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 259394 - ((-6)\/3)\/((-10)\/(-15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 76*p - 2250. Is p greater than -0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(3 - 3 - x) + (-6 + 0 + 4)*(-6*x + 4*x + x) + 7*x - 2*x - 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -122*s - 3042543971 - 700904029. Round s to the nearest one hundred thousand.\nAnswer: -30700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - i + 1)*(411*i - 611*i - 1 - 1762*i).\nAnswer: 1962*i**2 + 3925*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 48. Suppose 0 = -3*i - i + z. Suppose -6*v + 2*v = 2*o, i*v = 5*o - 13. Calculate the smallest common multiple of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 63*r + 35. Let x(h) = -7*h - 4. Calculate 4*g(l) + 35*x(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4335 minus 66021577?\nAnswer: -66025912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*c - 27*c + 30*c + (0 - 2 + 0)*(c + 0*c + 0*c).\nAnswer: 67*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535 divided by -107.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = -1. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -61, 125, 16, 3 in descending order.\nAnswer: 125, 38, 16, 3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 647. Is 2 a factor of o\/20 + 5\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9663 rounded to two dps?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3074790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90647199 >= 90647199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p + 32. Let z be f(14). Solve i = 3*i + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4 = -12. What is the derivative of -x + 4*k**2 - 6 + 12 wrt k?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -387 - -391. Suppose 3*v + 4*c - 128 = -0*v, 16 = v - d*c. Let w = 10 + -6. Calculate the highest common factor of v and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109365.\nAnswer: 3, 5, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/(-352) + (-575)\/(-11). Let x(i) = -146*i + 46*i + p*i + 50*i. Let y(n) = -712*n**2. What is x(y(b))?\nAnswer: -1424*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*q - 176465 = 165*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*t - 8, -3*t = -d + 4 - 3. Let u be 1\/29*(-2 + d). Is u not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v - 1\/2*v**2 - 34 + 5\/12*v**3 + 1\/40*v**5 - 1\/6*v**4. Let n(k) be the first derivative of x(k). Solve n(d) = 0 for d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -8 (c) 1\/9 (d) 5\/2 (e) 0.221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896831280?\nAnswer: 2, 3, 5, 73, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 11*j - 7. Let b be g(-10). Let d(u) = -8 + u - 6*u - 7*u**2 + 6*u - 25*u**3 + 26*u**b. Determine d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132201 + -12?\nAnswer: 1132123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y. Let f(v) = -v. Let l(j) = -5*f(j) - q(j). Let w(n) = 2*n**2 - 2*n - 2. Let h(m) = 2*m - m - 1 + 2. Let u(p) = -2*h(p) - w(p). What is l(u(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9 + -9.2. Sort u, -2\/5, 10 in increasing order.\nAnswer: -2\/5, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05582 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - o + 53944999, -50*b + 54*b + 43156003 = -3*o. What is b rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(325)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a**(-5)*(a**(1\/3))**24)\/(a**(-4)*a**(3\/7)*a\/a**(-1\/8)*a*a**4) assuming a is positive.\nAnswer: a**(-31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 divided by -11?\nAnswer: 222\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*j**3 - 49*j**3 - 11*j**2 + 0*j**2 + 9*j**2 as v*j**3 + k*j + i + l*j**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, l: 4, s: 2, n: 4}. What is prob of picking 2 l and 2 s?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 - 288 = -z. Let f = z - 760. Which is greater: 3\/208 or f?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/(-24) + (-4)\/(-12). Let i = 11\/4 + y. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 3*o = 19*v - 9645, -v + 1929 = -o. List the prime factors of v.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-2) - (-4 - (5 + -1)). Let t be (i + (3 - 4))*-1. Which is the second biggest value? (a) 0 (b) 8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 2, -0.01.\nAnswer: -6, -0.01, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 8*q - 528. Suppose -4*n - 38 = -2*z, z - 3*n - 24 = -0*z. Let x be ((-12)\/z)\/(1\/(-12)). Calculate the highest common factor of q and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.6 - 19.554. Let i = p - -0.954. Which is the biggest value? (a) -24 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t. Let r(x) = x**3 + 2*x**2 - x - 2. Let g = 10 - 7. Suppose -g + 11 = -4*l. Calculate l*i(y) + r(y).\nAnswer: y**3 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1 - 5*t + 6*t + 2. Let x(q) = q**2 - 4*q + 2. Let b(p) = -x(p) - 3*z(p). What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + ((-192)\/21 - 3). Let f = c + 13. Factor 2\/7*m**2 + 4\/7 + f*m.\nAnswer: 2*(m + 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 4. Let u(t) = -5*t - 5. Let f(i) = 4*l(i) - 3*u(i). Let s be f(-3). Suppose 2*n - 48 = q + 3*q, s*n = 3*q + 53. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/8*4\/(-10). Suppose w + z = -3*j, -3*j + 13 = -0*w + 2*w. Suppose -w + 128 = 3*o. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276829?\nAnswer: 7, 71, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 34*j**3 - 22*j**2 + 9*j + 11. Let h(x) = 12*x**3 - 8*x**2 + 3*x + 4. Give -8*h(k) + 3*u(k).\nAnswer: 6*k**3 - 2*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 276\/21 + (-5)\/35. Suppose -2*g - 3*w - x = 0, -2*w = -g + 3*w. Suppose 0*q = -2*q + 3*k, 4*q + 8 = 2*k. Sort 8, g, q.\nAnswer: g, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from krcrhzzkorkzcrrcrzcc?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-5))**(-26)*(m*m**(-2\/11))**(-1\/56))**(11\/6))**19 assuming m is positive.\nAnswer: m**(-608665\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1332*k - 1337*k + 15, -2*r + 4*k + 14806 = 0. Calculate the remainder when r is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 15283*w**3 - 15281*w**3 - 56.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 21*k - 13. Let f be x(-14). Let v = -74 - f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**21*m**(-2) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/7? (a) 0.3 (b) 1\/12 (c) -2\/3023 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x**2. Let f(w) = -18*w. Give l(f(k)).\nAnswer: -6156*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 less than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w**2 - 5*w**2 + w**2)*(-5*w + w + 2*w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sixxzvxxxxxnixxnvx. Give prob of picking 2 n and 1 x.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -626 + -2?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.027 - -41.027. Let t = d + -40.68. Let j = 1.68 + t. Put 0.3, 3\/4, j in increasing order.\nAnswer: 0.3, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728.0598 millilitres to litres.\nAnswer: 0.7280598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 51*j - 25*j - 33*j)*(1 - 1 + 4)*(3 - 1 - 1) as m + n*j and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 3*s**3 + 0*s**2)*(6*s + 8*s - 2*s) - 3*s**4 - 8 + 8.\nAnswer: 33*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + i + 8296 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, 7287, -1 in decreasing order.\nAnswer: 7287, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 6*w**2 - 10*w - 7. Let b be d(-5). Let c(u) = 3 - 4 + 33*u - 12*u - b*u. Give c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**6\/40 + 11*s**4\/24 + 6*s**2. What is the second derivative of k(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.269249 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -90, -319, -708, -1263, -1990, -2895?\n\"Answer: -x**3 - 74*x**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwwyw. What is prob of sequence my?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/360 + a**5\/120 - a**4\/24 - 2*a**2. Let n(f) be the second derivative of b(f). Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5435 from 325.66.\nAnswer: 5760.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y**2 + 184*y - 1791. Determine v(13).\nAnswer: -751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 83773.\nAnswer: -41886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37 + 0.07. Let p = 794\/35 + -112\/5. Suppose 0 = 13*z - 85 + 33. Which is the nearest to p? (a) z (b) s (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17354 - -0.60478. What is w rounded to three dps?\nAnswer: 0.431","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/15 - 16*q**3\/15 + 14*q**2\/5 - 12*q\/5.\nAnswer: 2*q*(q - 3)**2*(q - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744438 < -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (34\/3)\/(606\/(-2727)). Let l(n) = -6*n**3 - n**2 + n + 1. Let o be l(2). Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*s, -2 = 3*s + 4*x + 8. Suppose -s*f = f - 27. Let y = f - 1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44389916.\nAnswer: 2, 97, 114407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 4*k - 14, 4*k - 114 + 103 = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3210\/(-160) + 20)*-2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 6*s - 4. Suppose 2*t = -2*t + 16, 3*t = 4*m. Let g(c) = -c**2 + 1. Let u(b) = m*g(b) + o(b). What is u(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26503.2 - -26503. Which is the closest to -0.1? (a) 1\/1536 (b) 5 (c) g (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10914?\nAnswer: 2, 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2799, 5598, 8393, 11184?\nAnswer: 13971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = -0*r - 2*z, -4*r - 5*z - 19 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65 - 2)\/((-12)\/56). Let f be (2 + q\/(-4))*-2. Let a = f - -242. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86228907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, z: 1, n: 1, i: 1, s: 2}. Give prob of sequence gn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b + 5. Let g(u) = 104*u + 26. Let y(n) = 5*g(n) - 26*i(n). Let r(w) = -w**2. What is y(r(m))?\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/25 in 1\/2, -3\/5, -702, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (291\/(-6) - -47)\/15.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168595349 to the power of 1\/2, to the nearest integer?\nAnswer: 12984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2. Suppose 16 = 4*y + 3*a, -6*y + 20 = -y - 3*a. Let q(s) = -s**2 - s**2 + y*s**2. Give q(o(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3321 and 29151.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let m be f(-5). Suppose 3*s + m = s. Let r(z) = 4*z. Calculate r(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.7605 litres in millilitres?\nAnswer: 63760.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-18) + (2 - 1)*-1. Which is the second smallest value? (a) 0.3 (b) 3 (c) r (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3546.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 - 5*i**3 - 3 + 104*i**2 + 3*i**3 - 3*i**4 - 6*i**3 in the form c + z*i**3 + o*i + w*i**2 + s*i**4 and give w.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624512 divided by 68.\nAnswer: 9184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*m**2*o**2 + m**2*o - 3*m**2 + 10*o**2 + 7*o wrt m?\nAnswer: 6*m*o**2 + 2*m*o - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543586119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 849\/4 - 213. Let d = 27\/11 + -146\/55. Which is the third smallest value? (a) -1\/2 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -590*b**2 + 42*b - 53*b + 11*b - 20*b**2 in the form c*b**2 + k + x*b and give c.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252002 (base 10) in base 14?\nAnswer: 6091bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/14)\/((-3)\/(-21)). Let t be 50\/6 + (-12)\/l. Let j(k) = 1 - t*k**3 - 4 + 2 + 4*k**2 - 3*k**2. Give j(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207718.\nAnswer: 2, 23, 137, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*b - 232, 0*b + 236 = -2*b - 2*g. Let m(c) = -137*c - 1. Let a be m(-1). Let u = a + b. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r. Let v(g) = 2*g - 5. What is v(u(p))?\nAnswer: 28*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 143*x - 8 - 3*x**2 - 71*x + 2*x**2 - 64*x. Let o(l) = -l**2 - 9*l + 6. Let j be o(-9). Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8369773, 8369823, 8369911, 8370043, 8370225, 8370463?\n\"Answer: i**3 + 13*i**2 + 4*i + 8369755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970283?\nAnswer: 269, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53702 - 13458. Suppose -9*y + 27751 = -q. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-190 - -180)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52017499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 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: Calculate the remainder when 1057 is divided by 187.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**3 + 0*g**5 + 0 + 16*g**2 + 0*g**6 + 0*g**4 - 1\/126*g**8 + 2\/105*g**7 + 0*g. Factor i(b).\nAnswer: -4*b**4*(2*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.02. Let m = p + 18.02. Let j = m + -22. Which is the nearest to 0.1? (a) 0 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + y**2 - y. Give v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1983236 and 1212?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -53545250?\nAnswer: -53545305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393742.7 months in millennia?\nAnswer: 116.145225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5210 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 36 + 84. Let a be 0*1\/3 - (u - -6). Let k = a - 2. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -168714\/79 and -2136 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 39. What are the prime factors of d(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x - 36*x - 36 = 0. Suppose -o - 940 = -x*h - h, 0 = h + 4*o - 167. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 11 = 2*h, -3*l + l - 4*h = 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/17)*i*i*i**(3\/4))**39\/((i*i**(-2)\/i*i**(-2\/9)\/i)\/(i\/(i**(-1)\/i))**(-1\/15)) assuming i is positive.\nAnswer: i**(351473\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 112.2. Which is the nearest to -3? (a) k (b) -12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009326734 to 7 decimal places.\nAnswer: 0.0009327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 3*q - s - 53, -2*q + 44 = -s. Let y = -16 - -1. Let h = y + q. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83825.75*0.2.\nAnswer: 16765.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b - 8*b. Suppose -f - 2*f = -9. Let t be -5*(f - (b + 3)). Put -3, t, 0 in decreasing order.\nAnswer: 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1152) + 2 + 5 - (sqrt(1152) + (sqrt(1152) - (sqrt(1152) + sqrt(1152) + 3*(sqrt(1152) + (sqrt(1152) - 2*sqrt(1152))))))*5)**2 + 1.\nAnswer: 336*sqrt(2) + 1202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1665)\/(-1950))\/37)\/(((-8)\/(-40))\/1)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = -5*o + 3*b, -20 = 2*o - 5*b. Suppose o = 7*w - 3*w + 40. Let v be (-15)\/w + (-10)\/(-4). Let m(x) = -2*x. Calculate m(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -0.004 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n + 7. What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734405571 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -115857*t - 463638. Calculate f(-4).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942977.\nAnswer: 7, 23, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1273870 and 3346?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -3\/4, -2, -27?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a centimeter in millimeters?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8910*n - 44748. Determine c(5).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + i**4 - i**4 + (-1923*i**4 + 1102*i**4 + 1118*i**4)*(2 + 3 - 4).\nAnswer: 299*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3 - 16) + 11 - 7) + -9 - -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 h when three letters picked without replacement from bbmqbhy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 3. Suppose 0 = -g - 2*g - 9, 0 = -2*c - 3*g - 25. Let f be (-6)\/c + (-26)\/(-8). Suppose 3*w = -3*s, -f*s + 0*w = 3*w + 2. Calculate x(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*f - 27*f - 8. Let k be 6\/f + (-27)\/(-18). Let r be k\/(-6)*(-12)\/(-2). Which is the second biggest value? (a) 0 (b) -0.3 (c) -1\/4 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**3\/3 - 13*q**2\/2 - 15*q + 2. Let a be s(-10). What is the highest common factor of a and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2072 and -76\/111?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Let q = -86.3 - -86. Which is the nearest to t? (a) -0.07 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7\/(-70)*1*-20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1320 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 182 = -6*i. Suppose 22*o - i = 15*o. Let h(t) = t**3. Let n(v) = -3*v**3. What is o*n(x) + 4*h(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 = 10*b - 53. What is the highest common divisor of b and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 59208*g**3 - 293481360*g**2 + 493742078712*g - 32690298368556 = 0. What is g?\nAnswer: 69, 4911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from uurccrrrte.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17687 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 2*h - 2111494, 5*h + 369059 = 3*p - 686640. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -665?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*w = -575*w - 7470 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 + d5?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 7*x - 6. Let n(t) = 2*t**2 - 4*t - 3. Suppose -3 = 3*m + 9. What is m*p(y) + 7*n(y)?\nAnswer: -2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**9\/126 - 2*f**6\/45 + 14*f**3\/3 - 20. Let t(s) be the third derivative of q(s). Find the third derivative of t(z) wrt z.\nAnswer: -1440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 + 14 - 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 4*l + 95 + 0*l + 11.\nAnswer: 5*l + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.1, 1\/20, -7\/29, 1.2 in decreasing order.\nAnswer: 3\/2, 1.2, 0.1, 1\/20, -7\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 41757279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 - 4 - 3 + 1 + (-2 + 1 + 3)*(0 - 1 + 0) - 1 + 1 + 1)*(-2 + 2*j + 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 20*v - 126. Calculate the lowest common multiple of 30 and h(7).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 9. Let x(d) = d**2 + 2. Suppose -3*m = -3*w, -29 = 5*m + w + 1. Let a be 5 - 1\/(m\/20). What is a*x(j) + 2*u(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 2\/9 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(133)*5*5)\/(sqrt(112)*-6 + sqrt(21)\/sqrt(12)))**2.\nAnswer: 47500\/2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -2\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5564623 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16117816774.979886 - -16118034463. Let d = y + -217689. Let n = 0.98 + d. What is n rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/5)\/(z\/(z\/z**(1\/4)*z)))\/(z**(-7)*z**(2\/3))*((z*((z*z**(2\/5))\/z)\/z*z*z)\/(z**5*z))**34 assuming z is positive.\nAnswer: z**(-6847\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+352\nAnswer: 350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 154729400 to the nearest 100000.\nAnswer: 154700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -7, 0.13, -5\/2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h**10\/h)\/h))\/h**(-22))\/(h**(-2\/9)*h)**1)**(2\/163) assuming h is positive.\nAnswer: h**(238\/1467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530 is divided by 523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 847714867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -253975\nAnswer: -18\/253975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2*(-11)\/(-2). Suppose 5*d = 4*d + 53. Let u = d - y. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 57*z - 26*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {m: 1, b: 4, w: 6, q: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*n**3 + 1 - 1 - 874*n**3.\nAnswer: -1307*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274.086 + 0.02521.\nAnswer: 1274.11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430 (base 7) to base 13.\nAnswer: 74b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -524*d - 141*d + 30*d - 187*d to q*d + t and give q.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 3 + 4*sqrt(720) - (sqrt(245)*-1 + 1 - (sqrt(245) - (sqrt(245) - (1 + sqrt(245))*-3)))**2.\nAnswer: -993 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4540)\/3178*6*1\/(-5).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 898992 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -561\/26 - 140\/39. What is the common denominator of (-2)\/36*-10*12\/15 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286132116 to the nearest integer?\nAnswer: 16915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.035 + -18. Let b = 207.9758 + -208. Let k = b + f. Round k to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1134*-18)\/(1\/(-12)*1).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01250699 to 5 decimal places.\nAnswer: 0.01251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*-74\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -71*g**2. Let y(n) = -13*n**2 + 39*n. Let l(p) = -40*p**2 + 130*p. Let k(h) = 3*l(h) - 10*y(h). Calculate k(m(x)).\nAnswer: 50410*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**4 - 15*m**3 + 11*m**2 + 869*m + 1.\nAnswer: -48*m**2 - 90*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 653345514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 823666904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-21))\/(210\/315)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from kqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**3\/3 + 4*c**2 + 4*c. Let o be w(3). Factor -2 - 10 + 4*a**o - 20*a + 4*a**3 - 6*a**2 - 2*a**2.\nAnswer: 4*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*q + 274 - 273, 0 = -2*q + 3*i - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*1)\/(1*sqrt(63)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -58, -5, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13602108 divided by -7582?\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 440.6? (a) -0.3 (b) -2\/13 (c) 174 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2 + 6 - 3)*(2 - 2 + q**2).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/(y*y*y**(6\/11))*y*y**(-7)*((y*y*y\/(y**(-1)*y))\/y)**(2\/15)*((((y\/(y*y**2)*y)\/y)\/y)**(-17))**(-19) assuming y is positive.\nAnswer: y**(-160756\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0.4, 0, 36\/977, -11\/6 in decreasing order.\nAnswer: 5, 0.4, 36\/977, 0, -11\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2 - 2*m + 2. Let h be d(4). Suppose 13*o - 1801 = -1749. Solve -3*x + 12 = s + 2*s, h = s + o*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, g: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 223735 and 223738 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 15*k**2 - 923*k + 143. What is p(-39)?\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41665860 divided by -45\nAnswer: -925908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 19 = 2*t, -3*t + 4*y - 13 = -16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-1 - -1)) + -68 + 64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 194.2. Let r = -156 - -172.3. Let y = r + -16. What is the nearest to -1 in 0.1, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23501 is divided by 439?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**2 + 2276*i - 2272 = 0.\nAnswer: 1, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18591, 74346, 167251, 297306, 464511, 668866, 910371?\nAnswer: 1189026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 160 = -3*r, -4*r - 7*z + 190 = -9*z. Let p be -4*1*5*(-5)\/r. Let 0 + 5*g**3 + 0*g - 5\/4*g**4 - 5*g**p = 0. What is g?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9821.04841 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10) + sqrt(40)\/sqrt(4)*5))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5, -2, 698, -4 in increasing order.\nAnswer: -4, -3, -2, 4, 5, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 5) to base 13\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-94)\/(-16))\/((1577\/332)\/19)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197.412cm in micrometers?\nAnswer: 41974120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1767 and 51398031.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4*l**2 - 103*f*l**3 + 3069*l**3 wrt f?\nAnswer: 4*f**3*l**2 - 103*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322\/17 + 13003\/612. Calculate the common denominator of -31\/813 and r.\nAnswer: 9756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 2*s**2 + 3*s**5 + 5*s**5 - 10*s**2 wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 24, 60, 112, 180, 264, 364?\n\"Answer: 8*s**2 - 4*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) + 7 + -39. Let y = -15 - q. Let v = -3 - -11. Calculate the lowest common multiple of v and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 117 + 1031. Suppose k*f = 158*f + 36. Factor 2*d**3 - f*d + 9\/2 + 1\/2*d**4 - d**2.\nAnswer: (d - 1)**2*(d + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**6\/1440 + i**5\/480 + i**3\/2 - 6*i. Let p(k) be the second derivative of l(k). Factor p(v).\nAnswer: v*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/28, 1, -4 in decreasing order.\nAnswer: 1, -3\/28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.3 - -3. Let h = 2.5 + -3. What is the nearest to 2\/5 in q, -0.4, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-5)*20\/(-8)*2. Let f be 52\/(-14) + 2 + (-12)\/r. Suppose f*s**2 - 2\/7 + 0*s = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**5\/50 - v**4\/10 - v**3\/5 - v**2\/5 - 14*v - 14. Let j(a) be the first derivative of x(a). Factor j(b).\nAnswer: -2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3003?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(35*(-2)\/(-2940))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 4 - 4. Suppose -5*z + 18*z - 5616 = h. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6103*o + 5975*o = 640 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -29. Let z = 139 - b. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/830 and -41\/30?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 24305*h - 949416 = 0.\nAnswer: -24344, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*n - 12423 = 27*n. Calculate the smallest common multiple of 45 and n.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3\/8*k**6 - 3 + 33\/16*k**4 + 1\/4*k**2 + 0*k - 29\/20*k**5 - 5\/4*k**3. Let c(r) = 0. Calculate r.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 707815483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**3 - 14*a**2 + 69*a + 6. Is v(-13) a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25713070003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 2*l - 4*l + 4*l**2 - 3*l + 2. Let g be j(8). Let q be (-4)\/g + 50\/15. Solve 0*a = -2*w + q*a + 4, -2*w - 14 = 2*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167790.283 + 167981. Let q = h + -192.7. Let k = q + -0.017. What is the third smallest value in 0, k, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 8*s**2 + 10. Is u(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334 + 119.\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -5518465341.\nAnswer: -5518465346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 319 = -287 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2665 + -6879484\nAnswer: -6876819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {x: 6, u: 2, h: 11}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 1077*k\/2 - 1159929\/4 = 0. Calculate k.\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51353526?\nAnswer: 2, 3, 7, 23, 53161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpzw when four letters picked without replacement from {z: 1, r: 1, p: 2, k: 6, q: 5, w: 1}?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-20))\/7 + -39*(-38)\/(-1140)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5 + (sqrt(72) + sqrt(72)*-1 + -1 + sqrt(72) - sqrt(72)) + (sqrt(72) - ((sqrt(72) - (sqrt(72)*1 + sqrt(72) + 1)) + sqrt(72))) + sqrt(72))**2 + 0).\nAnswer: 480*sqrt(2) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4825 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 175*n**2 - 87*n - 1. Calculate u(-87).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -6) + 2 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**3 + 2*k - k**2 + 0 + 0*k**4 - 1\/10*k**5. What is the first derivative of o(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8090673?\nAnswer: 3, 97, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + ((-102)\/(-42) - -1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 2. Let q be (-4)\/(((-8)\/4)\/1). Let k be i(q). Suppose -4*t = -k*t. Solve t = -2*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-164)\/22 - (-274 + 266)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 38.24. Let a = 0.24 + c. What is the nearest to a in -2\/5, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:14 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2926247*w - 2926233. Give h(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5936 < -37.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/5040 + f**5\/15 - 3*f**2. Let c(a) be the third derivative of x(a). Let y(w) = -2*w**2. What is c(y(o))?\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.4, 0.072?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 14*i + 180. Calculate the remainder when k(47) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.331\nAnswer: 0.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1320 = 2*x + 2*x. Suppose -2*m + 7 = -5*a + 153, 2*m - 4 = 0. What is the greatest common divisor of a and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 156 = -64 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 3*f = -4147. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861033 divided by -1861033?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1053*v + 622*v**5 + 3245*v**5 - 365*v**5 wrt v.\nAnswer: 70040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -832*v - 613*v + 371*v + 55*v - 1016*v to the form h*v + g and give h.\nAnswer: -2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656\/29 > -0.2934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2*b + 34 + 20 = -5*o, -23*b - 479 - 27 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.3. Suppose 45 = 4*l - 19. Let f(n) = n**2 - 18*n + 35. Let p be f(l). Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(20\/7)\/(m**4*m**(-4\/5)) assuming m is positive.\nAnswer: m**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 101 = -41. Let z(j) = j - 4. What is the least common multiple of z(6) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -23441308 = -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 10, z: 4, g: 1, c: 3, v: 1}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**5\/5 - 5*d**4 + 22*d**3\/3 + 390*d**2 + 1521*d + 70. Factor c(r).\nAnswer: (r - 13)**2*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56177.53 years to millennia.\nAnswer: 56.17753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = -f. Let t = 6 - 4. Suppose -t*c - 1 = 3*u - 40, -f*u - 35 = -5*c. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 95. Is h*(21 + (-3 - -1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 0 + sqrt(228)\/sqrt(108).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9203420 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 4}. What is prob of picking 1 f and 2 x?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.57 - -0.17. Put j, -9, -2\/9 in decreasing order.\nAnswer: -2\/9, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*11*(-30)\/(-770)*8\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 9245*i**4 + 878265*i**3 + 21290285*i**2 + 20399175*i - 22090 = 0.\nAnswer: -47, -1, 2\/1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/3*o**4 - 26\/3*o**3 - 64\/3*o - 88\/3*o**2 = 0. What is o?\nAnswer: -8, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 17. Let w be b(4). Factor 4*a**4 + a**4 + 4*a**3 + 551*a**w - 550*a**5.\nAnswer: a**3*(a + 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 301?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -7*a**3 - 15*a**2\/2 + 6*a - 34. Factor l(v).\nAnswer: -3*(v + 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8213 or 201?\nAnswer: -2.8213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 10*m = 27. Suppose -m - 6 = -3*q. Sort q, -2, 0 in increasing order.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(6336)*-2*-6)**2.\nAnswer: 58392576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11721 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 15 = d, 80*d + 5*m = 76*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 901. Let n = 743 - b. Sort 1, -4, 4, n in decreasing order.\nAnswer: 4, n, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/f**9*f*f))\/f*f*f*f\/f**(3\/4))\/(f**1*f\/(f\/f**(5\/3)*f)))**(-2\/25) assuming f is positive.\nAnswer: f**(-67\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 191310 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 506318 less than -4?\nAnswer: -506322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.59186 millilitres to litres.\nAnswer: 0.08459186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 971*o + 5. Let y(t) = 1056*t + 5. What is 2*b(i) - 3*y(i)?\nAnswer: -1226*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2*r - 2, r + 17 = 9*u - 12*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/74? (a) -10\/391 (b) 6 (c) -1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + x + 0*x)*(2 + 0 - 1)*(42 + 5*x - 38 + 0*x) as h*x + p*x**2 + m and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c + 2*d = 0, 5*c - 2*d - 21 = 0. Let h(g) = 39*g**2 + 24*g - 15. Let p be h(c). Calculate the highest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167165 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2 - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.498046 + 0.497. Round n to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 1505*r = 0.\nAnswer: 0, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010101100100010 (base 2) in base 10?\nAnswer: -43810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - u + 6. Let k(a) = -a - 3*a**2 - 37 + 42 + 0*a**2. Suppose -83 = -3*z - 254. Let v be z\/(-9) + (-1)\/3. Determine v*k(b) - 5*p(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q + 3. Let d(l) = -l**2 - q*l**2 + 7*l**2 + l**2. Let h(f) = f. What is h(d(t))?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46668716 - -5.84426\nAnswer: 46668721.84426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c - 11 + 14 + 3 - 5 - 5.\nAnswer: -29*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3496 and -0.05084883112?\nAnswer: 3496.05084883112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 6*p - 3. Let w be t(-4). Suppose -5*x - 5*s = -125, 3847*x + 4*s = 3849*x + 10. Solve 0 = -w*c - x - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 516 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1554 plus 3.76?\nAnswer: -1550.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275882405.\nAnswer: 5, 55176481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -423 + -461?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 4944*u + 154222. Give a(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.3. Let a(s) = 35*s**2 + 3*s - 3. Let u be a(1). Let h be u\/(-2)*12\/(-21). Sort h, z, -5 in decreasing order.\nAnswer: h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - -561. Let j(k) = -3*k - 4*k**2 - 306 + h. Let a(v) = 2*v**2. Determine j(a(y)).\nAnswer: -16*y**4 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s - 16. Let o be g(6). Let q = 17 + o. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - k = 14, 0 = -5*b - 3*k + 28. Suppose 3*q - 1 - b = 0. Suppose -3*j + 5 = -q*j. Solve 0 = -j*n + 1 - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005187553 to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81137*g - 162278*g + 81139*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x - 4. Let c(u) = -55*u + 15. Suppose 10*p - 5*p + 5*j = 0, -5*j + 40 = -5*p. Let f(l) = p*c(l) - 15*d(l). Suppose 3*a = 4*a + 1. What is f(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 3\/220*g**6 - 2\/385*g**7 + 24*g**2 + 0*g**4 + 1\/1848*g**8 - 2\/165*g**5 + 0*g**3 + 0 + 0*g. Factor b(o).\nAnswer: 2*o**2*(o - 4)*(o - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 774, 776, 778, 780?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*u - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 59578 = -2*o, -s - 78812 - 10604 = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*m**2 - i*m*r - 37*i*r + i + 17*m**2*r - 2*m**2 with respect to m.\nAnswer: 2*i*m - i*r + 34*m*r - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(3993)*5)\/(6*sqrt(108)*-2*4).\nAnswer: -55*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.98 - 0.02. Let h = j - -21.3. Let s(l) = l**3 + 5*l**2 + 4*l + 1. Let i be s(-4). Sort h, i, -0.5.\nAnswer: -0.5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - b - 579 = 0, 3*g + 5*b + 7058 - 7655 = 0. Suppose 30 = r + r. Calculate the remainder when g is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2270, 9071, 20408, 36281, 56690?\nAnswer: 81635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {n: 3, u: 1, t: 1, k: 1, h: 2, a: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 0 (c) 2\/657\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 1\/6, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -732.08 + 732.0739933. Round j to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 97832, 98817, 99802, 100787, 101772?\n\"Answer: 985*j + 96847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -395.35 (b) 2\/9 (c) 1.7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 7. Let a be v(-5). Suppose -4*x - 4*b = -a, 0 = x + b - 3*b. Suppose 0 - 6 = -x*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -326, -508, -690, -872?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1304\/4238)\/(2\/26). Suppose 0 + 3 = v. Solve -v*b + 2 = -0*d - 5*d, -s*d = 2*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 - 5*a. Let r be l(6). Suppose z - 10 - r = 0. Let w be 75\/20 + (-12)\/z. Solve -w*g + 3*k - 18 = 0, -5*g - 10 = 2*k - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15234.95 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 times 3144.431?\nAnswer: -786.10775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.91791 centuries in millennia?\nAnswer: 5.791791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akktaabkkkte. Give prob of picking 1 e and 1 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 2*x + x. Let j(o) = -15*o + 22. Let m(p) = -4*p + 6. Let d(y) = 6*j(y) - 22*m(y). What is d(s(a))?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/57793 not equal to -3.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1581)\/(-713))\/(22\/506)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1174 - 59870\/51. Let h(r) = -r**2 + 67*r + 439. Let p be h(-6). Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1245*w - 710. What are the prime factors of q(3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920, -2050, -3178, -4304?\nAnswer: -5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029163 rounded to four decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 26*z**2 - z - 11. Determine r(26).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 940, 949, 972, 1015, 1084, 1185, 1324, 1507?\n\"Answer: u**3 + u**2 - u + 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 10*z**2 + 9*z - 43. Is f(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 - -150. Calculate the remainder when q is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1297*g. Let z(h) = -h. Determine z(c(b)).\nAnswer: 1297*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 9 + -17 - (1 - (-3 + -6))) + 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -547 - -546.554. Let f = -4.446 - t. What is the third biggest value in -5, 0.5, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 4\/9, 2\/17, 0.3, 0.89?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -73*i**6\/60 + i**4\/24 + i**3\/6 - i**2\/2 - i. Let o(p) be the first derivative of u(p). Is o(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:40 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*w - 36*w + 430. Let 8\/3*c**2 - 4\/3*c**w + 0*c + 4\/3*c**3 + 0 - 8\/3*c**4 = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -336 - -1225. Is a a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + p)*(-1 - 1 + 3 + (-3 - 1 + 3)*(3 - 4 + 0) - 1 - 1 + 4 - 2 + 0 + 0 - 2 + 5 - 2)*(0*p - 4*p + p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120702787*a + 131419429 wrt a.\nAnswer: -120702787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 186*l + 45171. Give v(325).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufuuqqfffueofukuqqq. Give prob of sequence ofof.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:28 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16261, -16259, -16255, -16249, -16241?\nAnswer: -16231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 240601382, 240601384, 240601386, 240601388, 240601390, 240601392?\n\"Answer: 2*n + 240601380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 2*u**2 + 9*u**2 - u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 2*h**7\/735 - 15*h**2. Let t(i) = 0. What is i?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75594 and -650?\nAnswer: 49136100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Suppose -w*i - 5 = 22. Let h be (-2)\/i + (-16)\/72. Solve h = 5*g - 4*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w - 160. Let d be q(16). Suppose 17*z + 387 - 931 = d. Calculate the lowest common multiple of 16 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/2)\/z)\/((z**(-10)*z)\/z)*(z**13*z)\/(z\/((z\/(z*((z\/z**11)\/z)\/z*z))\/z)*z))**(-37) assuming z is positive.\nAnswer: z**(-2183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 10. Let s = c - 43. Let a = 3 - s. Solve 4 = 4*b + 2*j, 0*j - 4*j = -2*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 24*n**2 + 37*n - 12. What is the tens digit of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -81*s**2 + 2*s - 1. Let a = -25983 + 25982. Give u(a).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45441 - 2*a**2 + 976*a - 28463 - 45168.\nAnswer: -2*(a - 244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 6 + -3 + 18. What is the greatest common divisor of 304 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/95 and -47?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594, 587, 578, 567?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 651329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-11)\/1100)\/((-32)\/120)*-13.\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 5 + 6 + 6*t - 3.\nAnswer: 14*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 - i + 9. Determine g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -4*g**6 - 33*g**2\/2 + 36. What is the second derivative of c(h) wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*q - 409*q - 5130 = 8853 - 3199 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - s = -47, 2 = 2*s - 4. Let i be -2 - -2 - (-6 + 31). Let v = 30 - i. What is the greatest common divisor of v and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -856523264 divided by 428261632?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -110100001100?\nAnswer: -110100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*v + 14, -6*m + m - 5 = 0. Let a(i) = 2*i + i**2 + 3*i - v*i. Let s(o) = 6*o**2. What is a(s(z))?\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 2 h when four letters picked without replacement from uhuyyhyheuuhevywywy?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-972)\/75 + 26\/(-650)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139398191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.44068s in hours?\nAnswer: 0.2390113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 11*w - 14. Let q be y(-4). Calculate the highest common divisor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6724742 or 6724741?\nAnswer: 6724741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 15. Suppose 0 = 5*f - 0*f - 25, -75 = 5*j - 4*f. Let d be h(j). Solve -5 = -d*i - 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*2*(-65)\/(-156).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7479897 divided by 80429\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3563323 - 821\nAnswer: -3564144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 20. Let s = -2 + 2. Let n be h(s). Suppose 0*u = -5*u + n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 1710 = t. Let o = -54 - -90. Calculate the highest common factor of o and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -16*k**3 - 11*k**2 + 40. Let x(o) = 3*o**3 + 2*o**2 - 8. Determine -11*x(q) - 2*z(q).\nAnswer: -q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 20, -3*u - 622 = -2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/((-365)\/50)*(-7)\/49.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1893 divided by -1.\nAnswer: -1893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*r - 6. Calculate the remainder when (-6)\/(-2) - 0\/4 is divided by r*((-5)\/(-2) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f\/(f*(f**0*f)\/f*f*f))\/f)\/f))**(-42)*(f*(((f**(2\/9)\/f)\/f)\/f)\/f*f)**47*(f**(2\/3))**29\/((f**(2\/29)*f)\/f**(1\/2)) assuming f is positive.\nAnswer: f**(-121517\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-5*2*sqrt(192) - sqrt(192)) - sqrt(192) - sqrt(192))\/sqrt(4)*-6.\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -222.\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/7, 11, -1.\nAnswer: -1, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(2 + -7))\/(-1). Suppose -2*p = -w + 5. Let o(f) = -5*f + 2. Give o(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:51 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 9\/2*p**3 + 0*p + 0 - 27*p**2 + 41\/24*p**4. What is the tens digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) -0.69 (c) 2\/3 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 107320*m - 113516*m + 0.\nAnswer: -6196*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/361226 and 111\/20.\nAnswer: 3612260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137740.\nAnswer: 2, 5, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m + 348. What is the remainder when 179 is divided by t(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -2\/5, -1\/4, -5\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -119. Let s = 86 - a. Let p(m) = m**3 - 4*m**2 + m - 2. Calculate p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 + 2*y**3 + 9*y**2 - 1410*y - 464531 wrt y.\nAnswer: -4*y**3 + 6*y**2 + 18*y - 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*v - 149 - 232. Determine g, given that 6\/11*g**5 + 6\/11*g**4 + 0 - 6\/11*g**2 - 18\/11*g**v + 12\/11*g = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*g - 33 with respect to g.\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5 (c) 1\/2 (d) -5 (e) 90\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -30.4. Let s = d - 0.588. What is s rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 4*i - 349 + 279, -h - 58 = -4*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2803110 and 71\/56565?\nAnswer: 25227990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331 and 19529.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-707 - -715) + -4 + 6 + (117 - -3).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534237?\nAnswer: 3, 11, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -394 times 1148\nAnswer: -452312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/11))**(1\/29)*g**(-4\/5)\/(g*g**2) assuming g is positive.\nAnswer: g**(-5996\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 35. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364787.451 minutes to weeks.\nAnswer: 36.18923125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/20 + 2*o**4\/3 + 3*o**3\/2 + 3*o**2 + 15*o. Calculate u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.055 in 0, 9\/11, -322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -595647 (base 10) in base 12?\nAnswer: -248853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 13*m**2 - 34*m + 29. What are the prime factors of a(-11)?\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:28 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2800 - 2799.894. Which is the closest to y? (a) 0.3 (b) -3 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, 5, 4, -10, 56, 13 in decreasing order.\nAnswer: 262, 56, 13, 5, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 3*h + 2*h**3)*(0*h**2 + h**2 - 2*h**2) + 6*h**5 + 0*h**5 - 3*h**5 + 6*h**2 - 6*h**2 + 12*h**5.\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/3 + 569*s\/3 + 470.\nAnswer: (s + 282)*(2*s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85118440601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-2755)\/(2\/2). Find the common denominator of -2 - (-16)\/(22784\/j) and -121\/6.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -14, -26, -42?\n\"Answer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 8. Let x be (-147)\/56 - (-1 - (-2)\/(-1)). Which is the third biggest value? (a) x (b) 0.8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3, 6, 186, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.4 and -0.1878.\nAnswer: -1.01412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15 = -4*g, 0*g = -f - g - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182689672 to the power of 1\/3, to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 356*i**2*y**3 - 2*i**2*y - 2*i*y**3 - 2*y**3 + 8119*y**2 wrt y?\nAnswer: 2136*i**2 - 12*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36745\/11412 + -3\/1268. Calculate the common denominator of -15\/7 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-40))\/((-5)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 998*w**3 - 179*w?\nAnswer: 5988*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*b**2 - 2*b**3 - 54*b**2 + 1 - 45*b**2 + 203*b**2 - 49*b**2.\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -18*u + 3. Suppose 13*s = -u*s. What is the tens digit of (1 + 1 + 11)*(9 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -942.6 - -943. What is the biggest value in -8, -2, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10906 and 31015106.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1135*j**2 - 11*j - 20. Let w be n(5). Round w to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -6. Let r be (-74)\/t + 11\/(-22). What is the highest common factor of 144 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*h - 4 = 290*h. Let i(m) be the first derivative of 0*m**h + 3\/4*m**4 + 3\/5*m**5 + 2 + 0*m + 0*m**3. Let i(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*n - 36 + 14 = g, 3*g + 14*n = 49 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6057973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/3 + 226198*o**3\/3 - 12792740908*o**2\/3 + 51162142270*o - 115110239841 = 0.\nAnswer: 3, 9, 113093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/11)\/((18\/11)\/3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.57 + -137.57. Let d = a - -136.99704. Round d to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + sqrt(150) + sqrt(150) + (sqrt(150) - sqrt(150)*2))\/(sqrt(3) + sqrt(21)\/(sqrt(7)*-3)))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62665.93cm in nanometers?\nAnswer: 626659300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -94, -85, -72, -55?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 480\/253?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deq when three letters picked without replacement from eqmeeeeedeeeesedemee.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cusyykkyykckuy. What is prob of sequence kyu?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 3564.\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**2 + 2*v - 5 - 2*v**3 + 2*v**2 + 3*v**2 + 4*v**2 in the form c*v + r*v**3 + i + f*v**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/16 and -35\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 4, z: 1, x: 1, m: 2, c: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7879*f**5 + 1595*f**2*k**2*q**2 + 5316*f*k**2*q**2 + 57*k**2*q**2 wrt f?\nAnswer: 157580*f**3 + 3190*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 85*h + 171. Let v be r(-44). What is the greatest common factor of v and 3939?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-56) + 45*(-6)\/72?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4518, -2.\nAnswer: -4518, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 26 + 13 + 6*u - 10*u. Let c be w(6). Suppose 0 = -5*m + 5*s + 565, -6*m - 2*s + 349 = -c*m. What is the highest common divisor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/10 + s**4\/4 + s**3\/2 - s**2\/2 - 8*s. Determine w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -83554\nAnswer: -40\/41777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4483644, -4483643, -4483642, -4483641, -4483640, -4483639?\nAnswer: -4483638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 3*i - 4. Suppose 4*v = 5 + 7. Let g be x(v). Find the common denominator of 6\/g*(-110)\/(-18) and 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -752 - -862. What is the remainder when 307 is divided by d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84299297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16914*-7565\nAnswer: -127954410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, i: 6, u: 3}. What is prob of picking 1 i and 2 u?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Work out 89.52 - -0.6.\nAnswer: 90.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)\/p)**4\/(p**(-2\/3)\/p*p*p**(4\/3)*p))**17 assuming p is positive.\nAnswer: p**(-1615\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11618*n**2 + 42*n**3 - 11630*n**2 - 48*n**3.\nAnswer: -6*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80566*c**2 - 2*c*y**2 + c*y + 4*y**2 - 86279*y wrt c.\nAnswer: -161132*c - 2*y**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:19 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 359*b - 2145.\nAnswer: -(b - 1430)*(b - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9287236 by -7412.\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g + 54. Let y be b(-5). Suppose 0 = -4*i + 7 + 1. Solve i*l + l - y = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-942*y**4 - 6*y**5 + 5*y**5 + 937*y**4 - 21)*(5 + 4 - 6)*(-2 + 0 + 0).\nAnswer: 6*y**5 + 30*y**4 + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -9 + -113 + 121.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 67 = 3*v, 0*v + 4*v + 64 = -z. Let r = -13 - v. Solve -r*u + 18 = q, 0 = -2*u - 2*u + 3*q + 26 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281668721\/594 + 474190. What is the common denominator of n and 193\/462?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 801839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.34*-546\nAnswer: -185.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 7.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -35. Suppose -2 - 8 = -2*q. Let h = q - 9. Which is greater: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from bzdzdo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4259 = 1538*c + 67317 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (43 - (92 - 53))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3102507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*m, -47*u + 3*m - 6 = -45*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.8373 + -0.1627. Let f = -2 + 2.4. What is the biggest value in z, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 1124 = -a - 1198, -5*a - 383 = 2*p for a.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2162 + -2165. Let y be (-4)\/(-10) + (-3)\/(-5). Suppose y + 23 = 3*w - 4*h, 3*w + 2*h - 6 = 0. Which is the second smallest value? (a) 3 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1111*z - 12219. Give w(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -4*n - 2 - 3*n**2 - 3 + 6*n**2. Let y be x(2). Solve 4*l + 4 = -t, 9*l - 4*l - y = 2*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -12*c + 8*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 - 3. Let f = 30 - 22. Let n be (0 - -3) + -11 + f. Which is the nearest to n? (a) w (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 + 185.5. Let m = -8 + 13. Which is the second biggest value? (a) m (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 9\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 8*w**2 - 12*w + 1. Let x be v(6). Put x, -3, -2 in increasing order.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465539 to the power of 1\/2, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -20\/3*b**3 - b - 2*b**4 + 4 - 17\/4*b**2. Suppose l(g) = 0. Calculate g.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-6) + -4 + (-70)\/(-15). Sort r, -3, -12, 5 in descending order.\nAnswer: 5, -3, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(110\/(-6))\/(-5). Let k = n - -35. What is the highest common divisor of 143 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38437 is divided by 44?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 27*o**2 + 1. What is the remainder when f(-2) is divided by (-336)\/(-144) - 2 - (2 + 89\/(-3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Which is the third biggest value? (a) 3 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189980771.41+1492.9\nAnswer: -189979278.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 10. Let g(s) = 3*s + 21. Let b(x) = -2*g(x) + 5*y(x). Let o be 4*(-5 - 2) + 1. Let j be 9\/o*(1 + -16). Give b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b. Let v be (-3)\/(0 - (-9)\/30). Let u = -7 - v. Let l(m) = -m**2 - 2*m. Calculate u*l(w) + 2*k(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12476070234*x**3 - 4*x**2 - 12476070233*x**3 + 4*x**2 + 0*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3100 + -2328101\/751. Is h greater than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 18*w**2 - 23*w - 5. Determine v(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -10806.\nAnswer: 1\/3602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(18)*-2*-2 - -3*sqrt(72))\/(((sqrt(864) - (2*sqrt(864)*-2 - sqrt(864))) + sqrt(864))*-4))**2.\nAnswer: 3\/12544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 - 1026. Let a = -855.00371 - d. Round a to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 458 - 334. Calculate the remainder when 743 is divided by d.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1024\/39 - -116687\/4407. Calculate the common denominator of -45\/8 and m.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11551 - 53?\nAnswer: 11487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -15*d**5\/4 + 9*d**4\/4 + 147*d**3\/2 + 87*d**2 - 162*d - 240 = 0?\nAnswer: -2, 8\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95600830?\nAnswer: 2, 5, 13, 735391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 1\/2, -0.7, 5\/6 in increasing order.\nAnswer: -0.7, 0.4, 1\/2, 5\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1475774*z + 1605504?\nAnswer: 1475774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.48631 times -0.3\nAnswer: -1.945893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 5*q - 6. Let r be m(4). Suppose 3*f - 5*b + 11 = 0, 2*f - 14 - 4 = -3*b. Suppose f*d = -17*d + 40. Sort 3, d, 0, r in descending order.\nAnswer: 3, d, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50711.36 years to millennia.\nAnswer: 50.71136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Find the second derivative of 2*x**m - x + 0*x**5 + 3*x wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*a = -1394, 0*s + 4*a = 4*s + 1104. What is the nearest to 2 in 0.3, 2\/15, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5027504 (base 8) to base 2.\nAnswer: -101000010111101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 137 - (-1654 - -1552)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1303*m**3 - 1028*m**3 + 1114*m - 80*m + 4351*m**3 wrt m?\nAnswer: 27756*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from gudgguggggfugufggusu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -12. Let k(h) = -h**3 + 3*h**2 + 6*h - 3. Let t be k(c). Solve -t = -y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -704 + 710. Solve s*j = 9*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -118 - (-102128)\/982\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -5 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4 + 17*z - z**2 - 4 + 15 + 0*z**2. Does 19 divide s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from donoddrrnrr. What is prob of picking 2 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 1. Let b be 1\/3*297\/9. Let g = b - 14. Let w be h(g). Solve 0 = p - w, -m + 2*p = -3*m + 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189057520.\nAnswer: 2, 5, 2363219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 - 181b?\nAnswer: -17e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 + -37.\nAnswer: -33.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 4. Let w(r) = 2*r**2 - r + 4. Determine 3*h(o) - 4*w(o).\nAnswer: o**2 + 4*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 5. Let p be m(-4). Let f be -2 + -4 + 7 + 3. Solve f*v - 8 = 2*k, -4*k + p = k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29446*j**3*w + 875*j**2*w**3 + j**2 - 85*j*w**3 + 3*j*w**2 - 5*j*w - 11*w**3 - 33 wrt j?\nAnswer: 176676*j*w + 1750*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:46 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49064.58 centuries to months.\nAnswer: 58877496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i + 4 - 4 - 2*i + 1. Suppose -15*z + 17*z - 6 = 0. Suppose -3*h - 15 = z*g, -2*h + 3*g + 11 = -4*h. Let q(b) = b + 6. What is h*y(f) + q(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14543 (base 7) to base 11\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 51 = o, 3*o - 54 = -4*k + o. Suppose -4*w - 2*h - 2*h = k, 0 = -3*h. Let q(y) = 4000*y. Let a be q(w). Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26190\/187 + 2384\/17. Factor 6\/11*j + q*j**3 + 2\/11 + 6\/11*j**2.\nAnswer: 2*(j + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 7*p**4\/12 + 4*p**3\/3 + 4*p**2 - 1320*p. Let d(z) = 2*z**2 + 2*z + 2. Give -9*d(y) + 2*i(y).\nAnswer: -4*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + -66?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -330*g**2 - 32*g - 166. Suppose -27*k + 114 = 735. Let h be l(k). What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*f**2*x - 2*f*x + 211*x wrt f.\nAnswer: 104*f*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/5)\/((-6)\/20). Let n(x) = -739*x + 8869. Let y be n(12). Put y, 4, d in decreasing order.\nAnswer: d, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhve. What is prob of sequence vvv?\nAnswer: 0","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: Is 243 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 11*t**2 + t + 1. Let d(p) = 10*p**2 + 3*p + 37. What is -d(u) - h(u)?\nAnswer: -21*u**2 - 4*u - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-115)\/3450)\/((-1)\/20)*(-3)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 425*a + 1269. Give b(139).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/497*-1*7*((-2076)\/(-24))\/173\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1.1738.\nAnswer: -5.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = -5*h - 54. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**3 - 5*i + 1. What is the remainder when 202 is divided by m(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4082798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26, -1322, 0.3, 74?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + 10*n - 15*n + n**4 + 5*n wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/4 and -37\/12535?\nAnswer: 50140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 15209?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 8*l - 132 = 0, -45*p - 4*l = -26*p - 12*p + 55 + 166 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4\/6 + 83*z**3 - 13303*z**2\/6 - 109070*z + 2891550 = 0.\nAnswer: -521, -37, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35254442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - 3\/3*0. Suppose o + 0*o = v. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4564982 to the power of 1\/2, to the nearest integer?\nAnswer: 2137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1183\/(-7605))\/((-56)\/624))\/((-4)\/(-18)).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1304, -1306, -1308, -1310?\n\"Answer: -2*w - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(1\/3*2). Let w = 6 + p. Suppose w*s - 18 = s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0367 + 0.0367. What is the nearest to -1 in 3\/5, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3424\/7193?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let g be (-7)\/7*(-6)\/1. Let a(h) = -g*h**2 + 7*h**2 + 2*h**2. Give y(a(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -9. Suppose l*b = 3*b. Solve 3*f + 3 + 3 = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-21))\/(10509\/(-1593865)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 380 (c) -2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15125531, 30251058, 45376585, 60502112?\n\"Answer: 15125527*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8171075 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:25 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/3))**26*m**(-5)*m*m**(-8)*m*m*((m\/m**4)**8)**(-13) assuming m is positive.\nAnswer: m**(958\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -166*d - 35. What are the prime factors of r(-3)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989021928?\nAnswer: 2, 373627741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -27.8, -0.2, 1\/75?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**2. Let q = -129 + 318. Let w = -187 + q. What is the smallest common multiple of w and m(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 27416?\nAnswer: -27414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 44.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -21*m + 25*m + 36, -5*m = -c + 9 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**2*z + 85*i*z - 5*z + 111 wrt i?\nAnswer: -4*i*z + 85*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 3. Suppose 9 = x*k - 12. Solve 6*l - k*l = 2*m - 5, -2*l = 5*m - 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996590.6 grams to tonnes.\nAnswer: 0.9965906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5181895?\nAnswer: 5, 251, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:54 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 2 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (136\/(-44) - -1). Are -1 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(125) - -3*sqrt(5)*4)**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w*w*w**(-3\/2)*w*w))\/(w**(-6)\/w*w))\/(w*w\/(w\/(w*w**2))*w)**(4\/9))**(-5\/2) assuming w is positive.\nAnswer: w**(-115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1230 and 656.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 1.1. Let l = -11 + 11. What is the nearest to 2 in -2\/15, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 i when three letters picked without replacement from {i: 2, v: 4, c: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1552 = -17*y. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 142*l - 718. What is z(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1164 and -0.1?\nAnswer: 0.11164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7682 - 2485*b + 15366 - 7684 to v + o*b and give o.\nAnswer: -2485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and 34.98.\nAnswer: -62.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4269 - 4262 - 2*g**2 + 8522 - 77*g.\nAnswer: -2*g**2 - 77*g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 - 6 + 7*h**3 + 2. Let z be ((-33)\/6)\/((-2)\/4). Let a(y) = -6*y**3 + z*y**3 - 8 + 6*y**3. What is -5*a(p) + 8*x(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 404055?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2 + 15375308*j + 59100024023716 = 0.\nAnswer: -7687654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*w - 114*w - 6 = 0. Let d(q) = -3*q + 13. Let s(h) = -h + 3. Let p(x) = -2*d(x) + 9*s(x). Does 19 divide p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -443*r + 227*r + 131 + 223*r. Give a(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*m, 0*m + 20 = 2*z + 2*m. Suppose -2*c + 7 = -z. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Let n(m) = m + 2*m + u - 2 + 0. Let v = -15 - -22. Let z(i) = 10*i - 3. Determine v*n(f) - 2*z(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-139)\/((-1)\/(-200)*-2). Let l = c - -25504. Suppose -p - 7*s = -2*s + 2315, -3*s + l = -5*p. Round p to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*c**2*q**3 + 672*a*c**2*q + c**2*q**3 - c**2*q**2 - 6*c*q**2 - 1 with respect to a.\nAnswer: c**2*q**3 + 672*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10234 (base 7) to base 14\nAnswer: cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:06 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-7)\/((-63)\/2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -24. Solve u*h = 4 + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + (-48)\/(-4) + 1. Let o(j) = -j**2 - 10. Let c(g) = 3*g**2 + 29. Determine a*c(w) + 17*o(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 10) to base 3.\nAnswer: -12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.01455ng in grams?\nAnswer: 0.00000007701455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69956*-5.\nAnswer: 349780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 = 35*h + 139 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10000101101110 (base 2) to base 7\nAnswer: 33644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-14)*(-4)\/(-6). Let o = 1.634 - 0.582. Let u = -0.052 + o. What is the closest to g in 2, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005404 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*s + 29*s + 72*s**2 + 82*s**2 + 8 + 98*s**3.\nAnswer: 2*(s + 1)*(7*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 742685*h**2 - 1218997 wrt h?\nAnswer: 1485370*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 28612.237 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/(-6))\/(10\/15). Let k be (-2)\/(-10) - h\/100*-98. Which is smaller: k or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30528, 30570, 30612, 30654, 30696, 30738?\nAnswer: 30780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12211 + -21221110?\nAnswer: -21201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(16\/3)*l*l*l**(1\/20)*(l**(-21))**22 assuming l is positive.\nAnswer: l**(-27277\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 2*q - 61. Let y be l(7). Suppose -6*z + y*z + 320 = 0. Calculate the least common multiple of 70 and z.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 2*p - 2*p**2 + 3 - 2*p + (-6 + 0 + 4)*(-3*p**2 + 3*p**2 + 2*p**2).\nAnswer: -6*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 22*j - 2352 = -27*j + j for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3*w**2 + 4*w**2)*(-2*w**2 + w**2 - 2*w**2) + (-2*w**2 - 1 + 1)*(-w**2 + 2*w**2 + 0*w**2).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 28 = -2*z, 5*z - 13 = -2*r + 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 1. Let p be s(2). Let u(g) = -2*g + p*g**2 + 2 + 0*g - 1 + 3*g + g**3. Let k(f) = -3*f + 3. Let v be k(2). What is u(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1 + sqrt(343))*-1.\nAnswer: -14*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/((-4)\/42). Let w = -11 + b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13*(-115)\/(-598))\/(100\/(-4)))\/((-35)\/125).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 21\/4 of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -15.7, 5\/8, -1, 37, -3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 1)\/((-6)\/291). List the prime factors of l\/(-4) + 9\/(-36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 886020, 1772039, 2658044, 3544029, 4429988, 5315915, 6201804, 7087649?\n\"Answer: -q**3 - q**2 + 886029*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1\/11, -34, 1 in increasing order.\nAnswer: -34, 1\/11, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 - 23*c - 120. Let l be n(33). Let j = 91133\/22 + l. What is the common denominator of j and 113\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2876 divided by 17\nAnswer: 2876\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 713*q - 685. Let z be l(1). Let w(n) = -116*n + 44. Let m(d) = -21*d + 8. Determine z*m(p) - 5*w(p).\nAnswer: -8*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (351\/156)\/(9\/24). What is the biggest value in -2, 3, a, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**7\/70 - p**5\/20 + p**2\/2 - 1. Let o(g) be the second derivative of w(g). What is the third derivative of o(a) wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/((-99)\/(-44)))\/(2\/(-1988)).\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212 + 43?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 4, u: 2, x: 1}. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzf when three letters picked without replacement from zzzzzzzzzzfzz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -42.64642?\nAnswer: -42.64642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -196*y**2 + 304*y - 922. Let t be s(3). Is t bigger than -1773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/227 and 127\/2270.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683371451?\nAnswer: 7, 191, 511123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/180 + n**4\/12 + n**3\/3 + 3*n. Let w(m) be the second derivative of r(m). Differentiate w(q) with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j**(1\/2))\/(j*j**0)**(2\/3) assuming j is positive.\nAnswer: j**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 5*p = 19, -28 = -v - 5*p. Let d be ((-2)\/(-2))\/(3\/(-6)). Let z = d + 3. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a80 - -5?\nAnswer: -a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*137\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 179*v**7\/210 + v**6\/120 - 561*v**4\/8 - 674*v**2. What is the second derivative of j(i) wrt i?\nAnswer: 2148*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189711 take away 153.241?\nAnswer: 189557.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/2 - 71*h**3\/3 + 17*h**2\/2 + 35*h - 69. Is x(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 - 7*q**2 - 6*q - 8. Let b be z(-7). Suppose -2*x = 5*f - 2915 + b, 4*x - 3*f = 4325. Suppose -8*o + o + x = 0. List the prime factors of o.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24178 and 32801853.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00408564 - 4.00408624. Let j = 4 + c. What is j rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/71828?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-6)\/((-6)\/(-3))))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 26716*s**2 + 2 - 27523*s**2 - 2 - 2*s as g*s + r + n*s**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1563 + -1?\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b**4 + b**3 - 3)*(25 - 41 + 45).\nAnswer: -58*b**4 + 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*n - 8*r - 60 = 430*n, 5*n = -3*r - 47 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -12\/13, 2\/9, -101?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -13 - (-3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*t**3 + 97*t**3 + 125*t**3 - 263*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -8*q**4 - 110\/9*q**3 + 0 + 4\/3*q - 26\/9*q**2 = 0.\nAnswer: -1, -3\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -0.14, 1\/2, -3\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - p**2 + p + 2. What is the units digit of d(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1164, 4396, 9780, 17316, 27004?\n\"Answer: 1076*g**2 + 4*g + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.2310373435691?\nAnswer: 4.7689626564309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 75*u**3 + 31*u**2 + 14*u - 3. Let d be x(7). What is the highest common factor of 39 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 8*q**2 - 7*q + 4. Let z be y(7). What is the first derivative of -z*l - 3 + 0*l + 2*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-4)\/(-9))\/4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**2 + 14*v**2 + 0*v + 3*v as k + c*v**2 + s*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5*95\/(-133). Let f = -31\/105 - 13\/35. Which is the nearest to y? (a) 2\/7 (b) f (c) 2 (d) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 663 + 1165. What are the prime factors of d?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72212, 72187, 72162?\nAnswer: 72137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 5*o - 3*o + 0*o + o + (-2 + 1 + 3)*(-2*o + 0*o + 0*o) + 4*o - 4*o + o + 3 - 3 - o)*(5*o + o - 4*o) + 4*o**2 + 47*o - 47*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.402.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -53*j + 1. Let a be o(1). Let i be 0 + 1 + a\/44. Let v = 2.5 + -3. What is the biggest value in 5, i, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - (-46)\/(-184) - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from psavvffvfdfavfvdfvv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5763, 11228, 16693, 22158?\nAnswer: 27623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 5*m**7\/14 + m**6\/6 - 5*m**3\/3 + 3*m**2\/2 + m - 156. Find the second derivative of i(u) wrt u.\nAnswer: 300*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.07.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42442 is divided by 8487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 4*q - 6 - 38, 208*q - 206*q = 4 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 33*h - 828 = -5*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -70. Let y be (18 - 21)*(-1)\/((-1)\/g). Suppose -4*i = -y*i + 370. What is the remainder when i is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.42573 litres in millilitres?\nAnswer: 18425.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/3 + -1*1. Let k = -9 + b. Let p(z) = -2 + k - 12*z + 4*z. Let n(f) = f**2. Give p(n(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 + -76.45. Let s = -3.45 - h. Which is the second biggest value? (a) 1 (b) -2\/29 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456097, -456093, -456089, -456085?\nAnswer: -456081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 take away -0.47541?\nAnswer: -160.52459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3083, -16, -4 in ascending order.\nAnswer: -16, -9, -4, 3083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00239223 rounded to 4 decimal places?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17)*2 + sqrt(17) - -6*(2 + sqrt(17)) - (3 + (sqrt(51)\/sqrt(3) + 3 - sqrt(17)) + 0))**2.\nAnswer: 36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 3}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4248?\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, o: 1, m: 2, n: 2, q: 1}. What is prob of picking 1 n and 1 q?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 340.1 * -105.\nAnswer: -35710.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 2\/9, -0.0229, 2\/13?\nAnswer: -0.0229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = v. Let t be 5\/((-20)\/v) - -2. What is the nearest to -2 in 4, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, 4\/11 in decreasing order.\nAnswer: 4\/11, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + c**4 + 3*c**4 + (-4 + 1 + 5)*(4*c**4 + 9*c**4 + 16*c**4)*(3 - 5 + 0).\nAnswer: -114*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1431740944.518.\nAnswer: 1431740949.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 1. Let z = -0.0011 - -0.0011. Let u = -0.1 - 0.1. What is the nearest to z in x, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-u + 2*u + 3*u) + 6*u - 3*u - 2*u + 5*u - 4*u + u + (0 + 0 - 2*u)*(4 - 1 - 5) + 4*u + 2*u - 4*u - 5*u + 19*u + u + 2 + 2*u - 2.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 764, 770, 778, 788, 800?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -14 - 4. Let a(d) = 19*d - 62*d + 34*d. Let i be a(-1). Is p at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 478089572 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:28 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839253367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1444 - -12422?\nAnswer: 10534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f + 251*f + 295*f + 15984 = -454*f for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12010 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*0\/(1 + 3). Is 2 + (u + -3 - -54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/347, -415\/4 in descending order.\nAnswer: 4, -2\/347, -415\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 5968 = 2312 + 1632. Calculate the remainder when 712 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*r - 163*r + 17*r**2)*(0 + 0 - 2).\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76449550 to the nearest integer?\nAnswer: 8744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 1166 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 the second smallest value in -17, 2\/3, 1\/2, -5, 11.37, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 34 = -z + 2*g, g + 53 = 5*z. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 85. Suppose -7*o + 2*w = -10*o - 115, 0 = 3*o - w + 127. Let k = r - o. Solve 0 = 5*p - 2 - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 2993.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.04 (b) 4 (c) -1668 (d) -12 (e) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 + 84 = 0. Let m be (-174)\/(-145)*t\/(-6). Let y(f) = 2*f + 6. Determine y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38389 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195900 is divided by 27938.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/2842)\/((-18)\/(-84))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + -1 + (2 - (-150)\/20). What is the third smallest value in -6, -2\/5, o, 1\/4, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4833823531 to 4 decimal places.\nAnswer: -0.4834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 2*s - 28 = -4*h + 10*s, -49 = 2*h - 5*s - 63 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) -212 (b) -255 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 32097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472\/3 - 115. Let n = t - 42. Let i = 66 + -66. What is the nearest to i in 5, n, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 551567\/55 - 10029. Calculate the common denominator of -47\/20 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let f(b) be the second derivative of b**6\/360 - b**4\/4 - b. Let r(q) be the third derivative of f(q). What is n(r(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, 0.1, 3, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2868 - 2.2868. Which is the nearest to x? (a) -5 (b) 14 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 63?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9070.297 and -10?\nAnswer: 9060.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 192\/7. What is the closest to -1 in p, 0.4, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5847165, 5847162, 5847159, 5847156, 5847153?\nAnswer: 5847150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 1. Let o(g) = -3*g**2 + g**2 - 2*g**2 + 5*g**i. Let t(a) = -13*a. Give t(o(s)).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1631, -2, 5, -3 in increasing order.\nAnswer: -3, -2, -1, 5, 1631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**2 - 57052*s - 2044704.\nAnswer: 4*(s - 2888)*(5*s + 177)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 1:53 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68340\/1105)\/(-268)*26\/(-174)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -14 - 5) + 21 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 73 + 125. Calculate the common denominator of 19\/20 and (-21)\/70*24\/(-45)*n.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4223 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: Suppose 0 = k - 1 - 0. Let r(i) = i**2. Let u(q) = 3*q**2 - 6*q**2 + 3*q**2 - 3*q**2. What is k*u(c) + 5*r(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 l when four letters picked without replacement from {l: 3, v: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -41. Let p = -32 + 12. Let y = s - p. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 470538230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1869600, 3739200, 5608800, 7478400, 9348000?\nAnswer: 11217600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 230375 divided by 5\nAnswer: 46075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w. Let x(p) be the first derivative of p**5\/20 - 38*p**2 + 69. Let i(k) be the second derivative of x(k). Calculate i(s(o)).\nAnswer: 75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 829? (a) 0.9 (b) 0 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -257 times -0.1\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 684, 79, 1 in decreasing order.\nAnswer: 684, 79, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69.1 + 7.4. What is m rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u. Solve 2*z = -u*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9321 and 2?\nAnswer: 9323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/28)\/(3\/(-8)). Suppose 2*r + 0 - u = 0. Factor 14*x**4 + 2*x**5 - 9*x**4 - r*x**4.\nAnswer: 2*x**4*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 4. Let u(l) = l**3 + 6*l**2 - 27*l - 1. Let a be u(-9). Let n be c(a). Put 0, n, -2 in descending order.\nAnswer: 0, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*s = 18, 0 = -2*l + 3*s - 1703 + 1706 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/4929 and 14\/89037?\nAnswer: 146287791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 78.70918*-0.37\nAnswer: -29.1223966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22982227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 13*w + 15. Let b be y(-12). Suppose 0 = v + 2 + 11. Let n = 19 + v. Solve -n = b*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 20. Let w be g(-7). Let s(y) = -y**3 - 9*y**2 - 7*y - 11. Let p be s(w). Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) 3 (b) -1\/4 (c) -415 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*l - 19*l + 294*l.\nAnswer: 518*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**3 + 3*s**2 + s - 3. Calculate o(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 4*k + k = -23 + 18 - 30, 0*z + 3*k = -0*z + 4*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7450542 by -3.\nAnswer: 2483514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/3 + d. Let f(g) = 8*g - 753 + 753. Give a(f(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 4, x: 4, w: 1, m: 1, r: 8}. What is prob of sequence xmfw?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58537.332us in hours?\nAnswer: 0.00001626037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -273*r - 62617. Determine h(-225).\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000001 (base 2) to base 10.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b**3 + b - 1. Let p(c) = 7507748*c**2 + c**3 - 7507748*c**2. Determine g(i) + 5*p(i).\nAnswer: -13*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 36*o + 2 - 2 + 32*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.45 - 65.55. Let d = o - -66. Sort -2, d, 5 in ascending order.\nAnswer: -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/m**(2\/15))**9 assuming m is positive.\nAnswer: m**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -40\/9, 8\/5, 0, 4\/7, 12, 1\/3, 29?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -770771*s**3 + 106*s - 290237232 wrt s.\nAnswer: -2312313*s**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5725 times -0.1\nAnswer: 572.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s - 357. Let z be l(-19). Sort z, -6, 1.\nAnswer: -6, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 370, -3, -272 in descending order.\nAnswer: 370, 5, -3, -15, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, b: 7}. Give prob of picking 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*x - 5*v, -20617 = x - 3*v - 20628 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 141990 to the nearest one thousand.\nAnswer: 142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684*u**3 - 33174*u**2 + 33174*u**2.\nAnswer: -684*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 4. What is the lowest common multiple of i and 3*(12 + -5 + -6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -14127729608979?\nAnswer: 14127729608978.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 22*b - 22. Suppose -9*q + 60 = -5*q. Let z be i(q). Let d = z + -56. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 + 88. Let t = 25.5 - y. Let d be 1\/(-12)*(-27)\/(-6). Is t equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrm when three letters picked without replacement from {r: 11, m: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16945 is divided by 163?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -315?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5) - (5 - (-9060)\/50*(-4)\/6)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -147, -213, -309, -435?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 - 2c3?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*c - 56 = 0, u + 7*c = 4*c + 30. What is the remainder when (-2 - -2) + u\/1 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47838, -95659, -143466, -191259, -239038?\nAnswer: -286803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -192746, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 921*x**2 - 6618*x - 7536.\nAnswer: 3*(x - 8)*(x + 1)*(x + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 46486602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10023905 or -10023767?\nAnswer: -10023767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -76. Which is the smallest value? (a) 4 (b) l (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 58*p + 14. Let b(x) = 39*x + 9. Let q(k) = -8*b(k) + 5*r(k). Let o be q(4). Let j be (-32)\/176 - o\/11. Solve -10 - 6 = 4*n, 3*n + j = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3258477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 4*i + 6. Let h be k(-4). Suppose 0 = -5*s + h*s. What is the first derivative of 3 + s - 5 - 5*b wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 416\/3 - 140. Let k = 63.143 + -0.143. Let o = 65 - k. Which is the second biggest value? (a) h (b) o (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*h - 2*h. Let v be (-2 + h)*(-6)\/(-56). Is 1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 20 = 0, 5*b + 10 = 2*w + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*p + 351*p - 1316*p - 18152 + 94852 = 0 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524076?\nAnswer: 2, 3, 7, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i - 9. Let h be z(3). Factor 0*n - 3\/2*n**4 + 3\/4*n**h + 3\/4*n**5 + 0*n**2 + 0.\nAnswer: 3*n**3*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -130716 + 2?\nAnswer: -130714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*v, -182*i - 115 = -177*i + 130*v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 0.8. Let t = -6 + 23. Suppose k = 3*x + 18, 3*k = 7*k - x - t. What is the nearest to -1\/2 in -1\/8, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/4 - -1). Suppose 0*p - 6 = -3*p. Suppose -p*a = -7*a. Solve a = 4*n - 6*n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690 and 6?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 111862192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 21*k**2 - 3*k - 7. Let q(h) = 3*h**3 - 62*h**2 - 10*h - 20. Let o(j) = -7*d(j) + 2*q(j). Is 8 a factor of o(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 4, -2\/19, -72400 in increasing order.\nAnswer: -72400, -5, -2\/19, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2671\/19 in 1\/3, -0.5, 0.5, 4, 13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10467 - 157082\/15. Calculate the common denominator of x and 65\/(-60) + (-1)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 16*z**2 + 57*z - 4. Let u be f(11). Solve -6*h = -4*h + 2*l - u, -l - 1 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 16144 - 8070 - o - 8073. Let x(k) = -k + 1. Let m(v) = 1. Let t(z) = m(z) - x(z). Calculate -2*d(j) - 3*t(j).\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 2892572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000011100100011101 + -1?\nAnswer: 11010000011100100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 322, 1038, 2466, 4852, 8442, 13482?\nAnswer: 20218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105222131 (base 6) to base 12.\nAnswer: 791947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 4321246*a\/7 + 8642436.\nAnswer: 2*(a - 2160609)*(a - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127148, -508549, -1144222, -2034167, -3178384, -4576873?\nAnswer: -6229634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 + 52*h**3 - 110*h**3 + 59*h**3 - 3*h - 2 to the form w*h**3 + l*h + p + q*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26396, -26400, -26404, -26408, -26412?\nAnswer: -26416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13151734\/259 - 50779. Let c = -153\/4 - -889\/20. What is the common denominator of l and c?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131247773 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 45790436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 156, 150, 132, 96, 36, -54, -180?\n\"Answer: -i**3 + i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from sgglkllkgd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -5, -6, 111, -1, -81 in descending order.\nAnswer: 111, 99, -1, -5, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/((sqrt(7) + -4*sqrt(7))*6))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20435.58095 to the nearest 10.\nAnswer: 20440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**5 + 11\/24*z**4 + 0*z + 0*z**6 + 0*z**3 + 0*z**7 + 6*z**2 - 1\/336*z**8 + 0. Find the second derivative of n(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1565, 6272, 14133, 25148?\n\"Answer: 1577*b**2 - 24*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250913 divided by 1.\nAnswer: -250913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 + 2*t - 6. What is g(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 368 = 0. Suppose -16 = -3*a + x. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/6087?\nAnswer: -10\/6087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9095 - 54439\/6. Let u = 129709727\/30 + -4324097. Let p = 2238\/5 + u. Calculate the common denominator of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143334 (base 7) in base 11?\nAnswer: -19822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**3 - 17*c**3 - 53*c**3.\nAnswer: -98*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 16*n - 20. Give x(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.596 + 1110.5?\nAnswer: 1115.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 59*u - 3 - 54*u + 8*u**2 + 2 - 7 + u**3. Determine j(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o = 3*r + 69, 22566*r = -4*o + 22565*r + 29 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/8)\/((-6)\/(-36)*(10 + -4)). Factor 25\/6*g**v - 7\/6*g**4 - g + 0 - 2*g**3.\nAnswer: -g*(g - 1)*(g + 3)*(7*g - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-6 - -4) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 14. Let y be 2*p\/8*-1. Suppose -y*n + 4*w = -129, 0 = 2*n - 5*n + w + 120. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 0*h - 4*h)*(0*h + h - 4*h)*(1 + 0 - 2).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8002 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271307 - 25?\nAnswer: -271334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -84.24?\nAnswer: 1179.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 173.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 5*b**4 - 4*b**4 - 3*b**4)*(0 + 0 + 2*b).\nAnswer: -4*b**5 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6694494, -13388961, -20083428, -26777895, -33472362, -40166829?\n\"Answer: -6694467*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + (-2*(sqrt(209)*-1 - sqrt(209)) - sqrt(209)) + sqrt(209))\/((sqrt(33)\/sqrt(3) + sqrt(11))*-3).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13954861643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253747463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13898 times -0.266\nAnswer: -3696.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5608*x = 5594*x. Solve 2*b - 4 = s - 17, x = -4*b - 3*s - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -2*w, -3*w + 3 = -4*n - 0*n. Factor -1 + w - 3*k + 4*k**3 + 2 - 3*k**3.\nAnswer: (k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(8\/(-12)). Let c(o) = -5*o + 1. Let w be c(i). Let p be 6\/w*(-32)\/(-24). Which is smaller: -3\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -16. Suppose -h + 7 = 1. Factor 5*w - h*w**2 + 9*w**3 - 14*w**2 + 6*w**n.\nAnswer: 5*w*(w - 1)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let s(w) = -w + 2. Let m be s(-6). Let p(l) = -2*l. Calculate m*t(v) + 5*p(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338)\/(-234)*4\/26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 216 = 8*o, 208*r = -4*o + 216*r + 108 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1632 or 1640?\nAnswer: 1632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**8\/j*j*j*j**(-3\/5)*(j*j*(j*j\/j**(-1))\/j*j)**42*(j**(2\/9)\/(j\/((j*j**(8\/9))\/j)))**7 assuming j is positive.\nAnswer: j**(9908\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110011002100 + 10?\nAnswer: -110011002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 20 - (-3 + (-2 - (4 + -3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5*-2*sqrt(2268) - -1*sqrt(2268)*-2)\/((2*sqrt(400) - sqrt(400) - (sqrt(4) + sqrt(24)\/(sqrt(6)*-2 + sqrt(6))))*-6) + -5)**2.\nAnswer: -18*sqrt(7)\/5 + 592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/24 - z**3\/3 - 9*z**2. Let p be t(-1). What is the second biggest value in -3\/4, p, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) 4\/5 (d) -2\/5 (e) -133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4814*m**3 - 952*m**2 + 952*m**2 + 4817*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 4262 = 1192. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:33 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 917170 rounded to the nearest 10000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 109 - 47 = -96*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3634 and 669?\nAnswer: -2431146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147153 or 147154?\nAnswer: 147154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1412876 and 16780?\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2022101022100 (base 3) to base 9\nAnswer: -2271270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198120?\nAnswer: 2, 5, 179, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1451*z + 14 = 1458*z. Let l(a) = 5*a**3 + 2*a + 5. Let n(g) = -g. Calculate z*n(i) + l(i).\nAnswer: 5*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 191*r - 894. Let s(q) = -95*q + 413. Let f(y) = 6*o(y) + 13*s(y). Let x(u) = 22*u - 1. Calculate -2*f(g) - 9*x(g).\nAnswer: -20*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, -5, -202, 2 in decreasing order.\nAnswer: 2, -5, -64, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 2)*(4 - 5 - 2) + 5 + 7 - 22 + 0 + 0 + 1 + (1 + 1 + 0)*(3 - 3 + 1) + 2 - 1 + 1)*(-2*s + 6*s - 3*s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -96, 1, 3, -3, 4.\nAnswer: -96, -3, 1, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.249 - -0.449. Put -4, 3, o, -14\/5 in descending order.\nAnswer: 3, o, -14\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r**5 - 3776*r**4 - 60186*r**3 + 641904*r**2 - 1184984*r - 295680 = 0.\nAnswer: -22, -2\/9, 3, 5, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Let c = v - 0. Suppose -c*f + 0*f - 9 = -2*s, 0 = 5*f - 5. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/(2*sqrt(3)*6))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7762338, 7762342, 7762348, 7762356?\n\"Answer: c**2 + c + 7762336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o + 23*o - 8*o - 10*o + 1638 + 0*o in the form v + i*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11428956 = -319*q - 115*q. List the prime factors of q.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 1, x: 3}. What is prob of picking 3 x and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 25, 4*x - 11 = -0*x - s. Let w = 6 - x. Suppose 2*d = -2*d + 8. Solve -d + 0 = -w*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqlqmeekkkkkk. What is prob of sequence qkm?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + k + 1. Let p(y) = -615*y**3 + 16*y - 4. Let j(r) = -3*m(r) + p(r). What is the second derivative of j(g) wrt g?\nAnswer: -3672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 8. Let z be (-16)\/56 + 74\/14. Suppose -2*f - f + 5*l = -157, -z*f = -2*l - 287. Calculate the remainder when f is divided by u(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 2, s: 2}. What is prob of sequence uu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2 + 10. Suppose 0*u + 6 = -d*l + 5*u, 0 = l + 3*u - 8. Solve l*f = -4*r + 6, -r + 6 = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2223 - -77?\nAnswer: -2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwwypwwg. Give prob of picking 1 w and 2 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 + r**2 - 4*r - 3. Determine q(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -384, -875, -1548?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - -1)\/(-1))\/(-2). Let d = -2 + l. Let v be d - (-7 + 1 + -1). Solve -3*m + 4*h = -13, v*h - 7 = -4*m - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916273.\nAnswer: 916273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Let n = -5 - -9. List the prime factors of b*-1*(-20)\/n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -54. Let s(g) = g**2 - 5*g + 1. Let o be s(6). Calculate the remainder when 78 is divided by o\/(m\/54)*-1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 + 4 = 4*i, 5*d = 4*i + 27. Let u = d + -3. Suppose 5*z - w + 2*w - 2 = u, 3 = -w. Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**11\/665280 + t**5\/60 - 6*t**2. Let m(u) be the third derivative of q(u). Suppose m(c) = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -806*r**2 + 2883*r**2 + 3100*r**2 + 581*r**2 + (-3*r + 2 - 2)*(-2*r + 2*r - 2*r).\nAnswer: 5764*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z**2 + 1440*z - 1. Let w(b) = -3*b**2 + 2*b. Give o(f) - 3*w(f).\nAnswer: -2*f**2 + 1434*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 330355 - 20*s**3 + 330352.\nAnswer: -22*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*10\/(-8))\/((4620\/(-12936))\/(6\/(-112)))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1111\nAnswer: -444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15381 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 9*n**4\/4 - 7*n + 55618. Suppose 2*k - 7 = -r, -k + 1 = k - 5*r. Let p(v) = -6*v + v + k*v. Determine p(g(o)).\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (21 - 75) - (1 + 2 + -47)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1216))*5 + 4*(sqrt(1216) + -1 - sqrt(1216)))**2.\nAnswer: 80*sqrt(19) + 30401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*z + 304*z - 689*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {j: 1, a: 1, y: 1, q: 1, t: 2, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1728523260?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145770293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.244 minus -0.2?\nAnswer: 9.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14503 (base 6) to base 13.\nAnswer: 10b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17300549*y**3 + 345440294?\nAnswer: -51901647*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 24, 80, 174, 318, 524, 804, 1170?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Let t = -8 - -5. Let s = t - -4. What is the smallest value in 3\/2, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*4\/21*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*j - 8, -3*g + 4*j - 3 = 5. Let a be -1 - (41\/2)\/((-5)\/(-10)). Let m = a - -43. Solve g = 2*h - m - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 466896 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*i - 13, 0 = 2*s - 3*i - 6 + 4. Let q = -57 + 59. Calculate the remainder when s is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -1\/453089.\nAnswer: 2718534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -49862.9 to the nearest one thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 117*q - 873. Let h be j(8). Sort 72, h, -4 in ascending order.\nAnswer: -4, h, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgg when three letters picked without replacement from vgqgszqvrqvvvvs?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.734894mg in micrograms?\nAnswer: 6734.894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-90) + 3 - (-2)\/10. Solve -f + 2*g = -4, -k*g - 12 + 5 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -52. Sort o, -3\/5, 0 in decreasing order.\nAnswer: 0, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, 1\/8, -0.2, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(440) + sqrt(440))\/sqrt(8))\/(sqrt(10)\/(-2*sqrt(2))) + (-5 + -3 + sqrt(99)*2)**2.\nAnswer: -102*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -404235?\nAnswer: -404235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 99*y**4 - 14748*y**3 - 459114*y**2 + 97324188*y + 2949639 = 0. What is y?\nAnswer: -77, -1\/33, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.103 (b) 1532 (c) -38 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2. Let h(u) = 26*u**2 - 14*u - 16. Let p(q) = 9*q**2 - 4*q - 5. Let d(t) = -2*h(t) + 7*p(t). Determine n(d(a)).\nAnswer: -363*a**4 + 198*a**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159143763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 + -1.8. Let w = -0.06 - 0.24. Let y = -1.6 + 1.5. What is the closest to 0.2 in k, y, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 34*l**2 - 256*l + 1248. Calculate j(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -941 (c) 4 (d) 6 (e) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 8 = -325*c + 348*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a - 1. Suppose -73*j - 413 = 66*j - 1525. Let m(s) = -15*s - 1. What is j*m(i) - 5*y(i)?\nAnswer: -5*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1224653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -653, 3\/4, -14\/11, 3\/8, 1.4, 2 in increasing order.\nAnswer: -653, -14\/11, 3\/8, 3\/4, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x. Let k(h) = h**3 + 5*h**2 + 7*h + 8. Let z be k(-4). Is z < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1081 and -2?\nAnswer: -2162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 66 = n. Suppose n*y = 31*y - 108. Calculate the remainder when 155 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1539) + (-1 + sqrt(2299) - sqrt(2299))**2.\nAnswer: 2 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 518\/1859387 or -1?\nAnswer: 518\/1859387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 127 = -v - 2*v - 250 + 111, -54 = -3*c + 3*v for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65493810 by 3638545.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 1672.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 - 36*m**2 + 4\/3*m**3 + 1\/30*m**5 + 0*m + 1\/3*m**4. Factor k(a).\nAnswer: 2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1007*d + 401765. Determine u(-399).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnsmnmmjsmjmjjmsm. What is prob of picking 2 m?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 2*p. Suppose -j - 8 = 3*j. Let y be v(j). Suppose -r + 2*r = y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:51 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**(-3)*t)\/t)\/(t**(1\/9)*t))\/(t**(-7)*t**(3\/8)*t) assuming t is positive.\nAnswer: t**(685\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8740.99983066 - -8741. What is l rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.491 - 0.009. Let u = 5.9 + s. Let v = 4 - 6. What is the second smallest value in 1, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**4 + 53057*o**3 - 20*o**2 + 1933227*o - 8.\nAnswer: -36*o**2 + 318342*o - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17108 divided by 4?\nAnswer: -4277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v - 9 - 11*v + 14*v**2 + 8*v. List the prime factors of l(3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 205380*q + 6772095.\nAnswer: 5*(q - 41043)*(q - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 230*v**4 - 473*v**4 + 2*v + 235*v**4 + (-1 + 1 + 2*v)*(-v**3 + v - v) - 3*v**4 + 5*v**4 - 4*v**4.\nAnswer: -12*v**4 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 13*n + 21. Let w be r(-9). Let f = 647 + w. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 19 = -3*g, -7 = -5*u - 5*g + 23. Let i = 5 + u. Suppose -i*b = 31 + 17. Let p(o) = 5*o**3 + 2. Let t(w) = -14*w**3 - 6. What is b*p(r) - 3*t(r)?\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 66465240 rounded to the nearest ten thousand?\nAnswer: 66470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*b = -7 - 9, 0 = b + 4. Suppose -f = -2*j + 1. Is j\/4 - 10956\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - 13899\/(-1737) - (-1 - -4). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**10\/(x**(19\/2)\/x)*(x**(-12))**14 assuming x is positive.\nAnswer: x**(-333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5658 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -177, 5, 0, 3, 292, 2 in increasing order.\nAnswer: -177, 0, 2, 3, 5, 6, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -1\/3, -2332, -3, -564?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16587*-2.\nAnswer: -0.33174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 7*i**2 + 147 - 24 + 9*i**2 - 32*i - 18 + 40*i**3. Let f(c) = -11*c**2 - 3*c + 3. What is 32*f(m) + 3*z(m)?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 69. What is the remainder when 28\/(-7) - (-65 - 1) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - b - 2 = 0, z - 2 = 2*b - b. Suppose -2*c - 3*r = -0*c - 37, z = 2*c - 2*r - 22. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(8\/(-60)). Let h be (-8 + 11)*56\/6. Let c = h - n. Solve -c + 3 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -36*d**2 - 9. Let y(f) = 2*f - 19. Let g(x) = 13*x - 133. Let n(c) = -6*g(c) + 42*y(c). Give i(n(t)).\nAnswer: -1296*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 8:52 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wduk when four letters picked without replacement from kwdjuldw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 341292379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262256 and 2368.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*r - 2866 + 2926 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -181 + 18 - 2192*r - 2*r**2 + 992 + 1365 = 0.\nAnswer: -1097, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 1\/6*l**4 + 0*l**3 + 0*l + 0 - 2*l**2 - 1\/30*l**5. Find the second derivative of b(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 2247760?\nAnswer: -2247751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j, 4*l = -j - 28 + 1. Let a = 11 + l. Suppose -a*i + 4 = y, -3*i - i = -y - 12. Sort 3\/4, y, 4 in decreasing order.\nAnswer: 4, 3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 7. Suppose 5*k - 29 = -a, 0 = -6*a + a - 5. Let o be t(k). Let l be 1 + (0 + -2 - -5). Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 7. Let p be ((-6)\/21)\/(i\/(-14)). Solve 0 = p*z - 3*v + 20, -7*z + 3*z = -4*v + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389676022*y**3 - 790140*y**2 - 294 wrt y.\nAnswer: 2338056132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 62 = -10*q. Do q and -31 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**5\/4 - 5*t**3\/6 + t**2\/2 - 291*t. Let h(n) = -4*n**3 + 4*n. Determine -2*f(o) - 3*h(o).\nAnswer: 2*o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(3 + sqrt(75)*2 + -5 + ((-2*sqrt(162))\/sqrt(6))\/(sqrt(576)*1)).\nAnswer: -117*sqrt(3)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8563 - 51377\/6. What is the closest to v in 0.05, -0.031, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db28f (base 16) to base 3.\nAnswer: 1200121101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 505 and 963540.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 2. Let i be (25\/j)\/((-1 - -4)\/(-30)). Suppose 2*p - 13 - i = 0. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-8))\/(111\/56 + -2). What is the greatest common divisor of f and 1162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -5.1 (c) -0.723 (d) -2\/3 (e) 6\/11 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 4 - 1)*(0 + 0 - 2*v)*(2*v**3 + 7*v**3 - 2*v**3) to the form p + s*v**2 + m*v**3 + l*v**4 + y*v and give l.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4113*k + 25479 + 40329 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4401374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = 18. Suppose -3*y + 1418 = 5*q, -2*y + 954 = -c*q + q. Let r = -237 + y. Does 40 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j - 111000 = -28*j. Round j to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498\/10 + (-1)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 20*s**2 - 22*s - 18. Let z be b(-21). What is the smallest value in -2\/5, -1, z, -0.5, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1638494*z**5 + z**3 + 21562801*z?\nAnswer: 32769880*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121120000 + -11?\nAnswer: -100121120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170)*1*-6 + sqrt(170)) - 5*-2*sqrt(170))\/((sqrt(10) + sqrt(90)\/sqrt(324))*-5).\nAnswer: -96*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 4*s + 6, 0 = -2*r - 4*s. Let o(x) be the first derivative of 2 - 4\/21*x**3 + 1\/14*x**4 + 0*x + 0*x**r. Factor o(l).\nAnswer: 2*l**2*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5)*l**(-1\/8)*l)\/(((l**1*l)\/l)\/l)**12)\/(l**(1\/4)\/l**(-1\/14))**(-2\/25) assuming l is positive.\nAnswer: l**(1821\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555440228*-0.2.\nAnswer: 111088045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*t**2 - 3*t**5 + 5*t**4 + 15*t**4 - 2 + 3*t**4 wrt t?\nAnswer: -180*t**2 + 552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 54*b**2 + 65*b - 2653. Calculate n(-56).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, x: 5, y: 2, s: 8}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 7*v - 5. Let f be t(-7). Let i = 247 - 245. Let c be (-1 - f)\/(i\/(-100000)). Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 - 109. Let n = 149.3 - m. Round n to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-15))\/((-1)\/((-4)\/(-24))). What is the nearest to -3 in 0.4, 3\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.0272 (b) 3 (c) -1\/9 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-344*w + 504*w + 597*w)*(-3 + 4 - 3) + w - 5*w + 2*w as p*w + c and give p.\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -244*t + 280. Let y be (-2)\/(57\/9 + -7). Let n(u) = -2*u + 1. Let x(f) = y*n(f) - k(f). Differentiate x(i) wrt i.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/22 and 474\/(-8)*(-5)\/(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3192720 - 387280. What is h rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 162.46. What is h rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 834037 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5919*p**3 - 5445*p**2 + 1593*p**3 - 2329*p**3 - 135 - 262*p - 1223*p = 0. What is p?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77108897 + 77108897 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1428*m = 2686*m - 1359*m + 141 - 2767 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2\/5 + 334816*q\/5 + 7006359616\/5 = 0. Calculate q.\nAnswer: -41852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127 * 137.\nAnswer: 17399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**9*z)))\/z**(2\/3))\/(z**(-3\/11)*z*((z**8\/z)\/z*z)\/z) assuming z is positive.\nAnswer: z**(119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/((-4312)\/168))\/((-3)\/10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445654.2ms to nanoseconds.\nAnswer: 445654200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/2173 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -43, 3 in increasing order.\nAnswer: -43, -25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5076888241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 4*v, 2*v - 5 = -1. Suppose 22 = i*n - 3*n. What is the units digit of 172\/22 - 4\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2, w: 2, s: 1, h: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552479 is divided by 110462.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 127 = -4*j, 2*j - 3*g = 67. Suppose -31 - j = -3*u - 3*l, 0 = -5*u + l + 105. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 46*m**3 - 95*m**2 - 44*m.\nAnswer: m*(m - 11)*(m + 1)*(5*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + n**3 - 4 + 6 - 9*n**2 - 6. Let y be d(9). Suppose -5*k - 5*p = -285, 0*p = y*k + 2*p - 291. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8371997 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 56 = 28. Let l(x) be the second derivative of x**5\/20 - 13*x**4\/12 + 2*x**3 + 3*x**2\/2 - x. Calculate the remainder when l(m) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2\/7, -0.2, 0.6, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28134174 and 262713.\nAnswer: 309475914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -9*j - 70. Let l = j + -58. Calculate the highest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 1. Let i(j) = -j**3 + 5*j**2 - 11. Let d(m) = i(m) - 5*t(m). Let y(u) = -4. Give 4*d(x) - 6*y(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 892, 899, 896, 877, 836?\n\"Answer: -b**3 + b**2 + 11*b + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89906590?\nAnswer: 2, 5, 71, 139, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16637763459100 from -23.\nAnswer: -16637763459123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -71921.1 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*l - l + 3*w, 4*w - 8 = 0. Let t be 2\/(8\/(-28)) - l. Let b(y) = -5*y - 6. Let p(o) = 6*o + 7. What is t*p(f) - 7*b(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 755 + 2501 + 1423 + 3770 + h.\nAnswer: h + 6927","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16 - 28*o**3 + 13*o**3 - 3*o**2 + 16*o**3. Let z be i(7). Let h = 325 - z. List the prime factors of h.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/29160 and -79\/72.\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Let b be (2 - 3)*-17 + v. Let o = b - -34. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 6 + 28 + -17 - (6 + -4 + 33).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 - 21 = 0. Let l be (-2)\/3 + 64\/d. Suppose 15 = 5*v + 3*b + l*b, 6 = v + 2*b. Are v and -1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 86.05. Let j = n + 84. Which is the closest to 2? (a) 9 (b) -4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4 - 2. Suppose j + l*a = -8, 0*j - 5*a = 3*j + 25. Does j = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14784 is divided by 172?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 9*c + 6. Let q be z(-9). Suppose o = q*o - 15. Suppose -122 = -o*i + 5*v, -2*i + 67 + 27 = 3*v. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, x: 6, u: 3, e: 1, a: 6, q: 2}. Give prob of picking 1 e, 1 q, and 1 x.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 20*z**2 - 71*z + 50. Calculate q(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2736) - (sqrt(2736)*1)**2) + -1 + (sqrt(19) - (-2*2*sqrt(19))**2).\nAnswer: -35*sqrt(19) + 7903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -42. Solve 0 = 4*z + 5*x + 3 + 6, 4*z - 4*x = o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cc7e - -113?\nAnswer: -cb6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -5*v**4\/6 - 13*v**3\/6 - 11*v**2. Differentiate u(n) with respect to n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*x - 1. Let c = 6 - x. Suppose -m + c = -0*m. Solve m = -w - 0*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9.4. Let c(t) = -1 - 3*t + 2*t - t**3 - 2*t**2 + 5*t**2. Let g be c(2). What is the second biggest value in 2\/9, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f + 3. Let i be q(4). Solve -4*w - 3*n = 9, 3*n - 3 = i*w - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svzuy. Give prob of sequence ys.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 11*b = 6*b. Let j = 1994 - 13875\/7. Let u = j - 80\/7. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6686071?\nAnswer: 7, 955153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, v: 2}. Give prob of picking 1 v and 2 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2 - 12*g - 2. Let t(m) be the third derivative of m**6\/180 + 3*m**3\/2 - 23*m**2. Let d(o) be the first derivative of t(o). Calculate d(p(l)).\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-5 + (sqrt(108) - (sqrt(108) + sqrt(108) + 5 + 4)))**2 - (sqrt(108) + sqrt(108)*-2 + 3 - sqrt(108) - (sqrt(108)*3 + 4))**2)*-4.\nAnswer: -38352 + 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*n**2 - 210*n**2 - 206*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4228 divided by 1.\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -28\/5. What is the closest to -0.3 in -0.5, y, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58156060 by 5.\nAnswer: -11631212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-4 - 0\/1). Suppose -10*f + 8*f = -4. Suppose f - c = q. Put q, -3, -2 in decreasing order.\nAnswer: -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4644, -4642, -4640, -4638, -4636?\n\"Answer: 2*o - 4646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*f - 22*f - 12*f + 18 - 10*f - 19*f as a + h*f and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 54 = 27. Solve 5*t + j = t + 5*v, -t + 2*v - 6 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 50*o - 92. Let y be m(23). Suppose 8*x = -y*x + 776. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (8\/(-1))\/2)*84\/105. Solve -44 = 40*q + d*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*s**2 + 4*s**3 - 2*s**3 + 140*s**2 - s**3 - 3*s - 208*s**2 in the form y + c*s**3 + m*s**2 + n*s and give m.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let h be -4 - (0 - (0 - 1)). Let t(d) = d**2 + 7*d - 7. Let q be t(-8). Sort q, h, x in decreasing order.\nAnswer: q, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000058078 rounded to six decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/227904 and -109\/40416.\nAnswer: 95947584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 1642, 2612, 3582, 4552?\nAnswer: 5522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 48. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**(-6))*m)\/m*m)\/m**(-23) assuming m is positive.\nAnswer: m**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526767011 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 175?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 19*l**2 + 32. Let f be v(-19). Solve 2*p - f = -6*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/15 - 776*h\/15 + 75272\/15 = 0.\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(24\/(-21) + 2). What are the prime factors of 4\/(-12) - 62\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 72*f - 3. Let m(p) = -31*p + 2. Let w(u) = -7*m(u) - 3*x(u). Suppose 27 = 4*n - 37. Let a = -10 + n. Give w(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) 53 (c) -39\/7 (d) 0.2 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 - 3*u**4 + 4*u**4)*(2 + u + 0*u + 2*u).\nAnswer: -3*u**5 - 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12151\/48 - 763\/3. Let f = -43259\/16464 + 8\/343. Find the common denominator of f and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -12338 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1599)\/441*-3 - 5) + (-4 - 2). Let n be 126\/15*15\/6. Suppose -5*b - 5*u + 15 = 0, n = -7*b + 2*b + 4*u. Is s > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 6*b + 5. Let q be f(-6). Suppose 5 = -q*d - 55. Let o = 17 + d. Solve -2*j - 2*g + o = 3*j, -4*j - 13 = 5*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-u**4 + 0*u**4 - u**4) + (2*u**3 - u**3 + u**3)*(3*u - 3*u - 2*u).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/7 - 9*20344\/333648. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-2)\/(-18))\/(309\/18). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3724, 14923, 33594, 59743, 93376, 134499?\n\"Answer: f**3 + 3730*f**2 + 2*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v - 2. Let r(m) = 17*m + 6. Let j(c) = -8*g(c) - 3*r(c). Let f(p) = -13*p - 8. Determine 2*f(w) - 9*j(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - -5 - (-3 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by -39.\nAnswer: 131\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6, q: 13}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 3*h + 6*h - 4*h + (-1 + 2*h + 1)*(-5 + 1 - 1).\nAnswer: -11*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -2\/7 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252343 is divided by 197?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 423706 and 6223708?\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 38. Which is the smallest value? (a) -2 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-79327)\/6 + -3)\/(37\/(-222))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -289*s**2 - 5*s + 30 + 568*s**2 - 278*s**2. Give v(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -2*t**5\/25 + t**4\/5 - 2*t**2\/5 + 2*t\/5 + 8. Let c(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -474, 5\/77?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*j**2 + 134*j**2 - 53*j**2 as y*j + v + k*j**2 and give k.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and -0.09681.\nAnswer: -4.35645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -55, -84, -105, -112, -99?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 66807?\nAnswer: -66809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1072*k - 54493. Calculate f(51).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 46*k + 280 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 432747*u**2 + 6*u - 8*u.\nAnswer: -432747*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, k: 9}. What is prob of sequence kks?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3 - (1 + 0). Suppose -5*w = -j*w - 75. Solve -5 = -5*x - w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p, -4026*b + 4027*b + p + 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351973*-1.\nAnswer: -351973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + ((-5)\/(-5) + 3 - -16). Suppose 8*f + 13 = -c. What is the nearest to f in 0.2, -2\/13, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*v + 5*z, 0 = -2*v + v - 5*z + 20. Suppose -w + 2 = 0, -v*w = -f + 5*f - 26. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -506774298 - 0.\nAnswer: -506774298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 510.04 + -481. Round t to 0 dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 70*z**4 - 104*z**3 - 282*z**2 - 108*z = 0.\nAnswer: -1, -18\/35, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:35 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42\/13 (b) -0.04 (c) -0.03 (d) 0.03 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 29 - 10*a**4 - a**3 + 25 in the form z + d*a + v*a**3 + q*a**4 + y*a**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 - 674*j**2 - 37096*j - 137728 = 0.\nAnswer: -269, -64, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 23, 30, 41, 56?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.6. What is the third biggest value in -7, q, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 3. Let f be (-3)\/(((-3)\/2)\/1). Suppose -5*a = -f*a - 9. Let w be b(a). Solve w = v + 4*v + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -275 + 293. Let x be (-9)\/((-27)\/(-2)) - 1104\/b. Let w(g) = 2*g**3 + 7*g**2 - 3*g - 3. Let h be w(-5). Is x at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7\/2)\/(f*f*(f\/f**14)\/f))**(-4\/17) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23.9+0.6874\nAnswer: -23.2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/245 + 20688\/36792.\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -139*f**2 + 299*f**2 - 127*f**2. Let t(q) = q**2 + 2*q - 2. Let x(i) = -2*i**2 - 3*i + 3. Let l(n) = 6*t(n) + 4*x(n). Determine l(j(s)).\nAnswer: -2178*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380665*a - 5*a**2 - 380665*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 2\/21 (c) 330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506*w - 25 = -511*w. Solve 12 = -w*p - 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*y + 522 + 249*y - 524 + 317*y.\nAnswer: -36*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/8 - (-18)\/4. Let r = 14.56 + 0.44. Let d = 17 - r. Put -1, q, d in descending order.\nAnswer: q, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1294203770 + -1294203708.9999971. Let c = -16 + 77. Let h = g - c. What is h rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 - 34*r - 105. What is p(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/15)\/n**(-14)*(n\/(n\/n**4*n))**(-2\/97) assuming n is positive.\nAnswer: n**(20377\/1455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y + 8. Suppose -4*l + 9*d = 8*d - 58, 0 = -4*l - 2*d + 52. Let s(f) = 4*f + 4. Determine l*s(i) - 6*k(i).\nAnswer: 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 50 + 2474 + -2431 + (-2 - -4 - -7)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 85 + 13 = 0. Let v = -16 - f. Suppose -60 = -4*i - c, -6 = -v*c + 2. Calculate the remainder when 26 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 1) + (5 + -19 - -25 - 14)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 10620*o + 6678000.\nAnswer: -4*(o - 525)*(o + 3180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a - 8. Suppose -5*x + 6*x = -5. Let o be u(x). Let f = -43 - o. Solve 2*r = 6*r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-243 + 188) - (-7 + (7 - 11)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*l - 38*l = 25*l + 1761 + 41 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*q - 26*q - 19*q**2 - 11*q**3 + 4*q**4 - 17*q.\nAnswer: q*(q - 4)*(q + 1)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 + j**5\/15 - 7*j**4\/24 - 5*j**3\/6 + 2*j**2. Let i be v(-5). Solve -3*b = -2*s - 9, 2*s + 3*b = -i + 26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/3871 + -1104\/3871. Let o = -373\/176 - -24\/11. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 6178372 + 3442679. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2708*h + 286551. Calculate c(-106).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.56, -5, -3, -4?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129608267 and 2957?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 783678679*h + 866489914.\nAnswer: 783678679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2 - w + 1. Let c(j) = 4*j**3 + j**2 + 3. Suppose 5*i - 66*i - 61 = 0. What is i*c(g) + 3*n(g)?\nAnswer: -g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**4\/8 + 2*x**3 - 40*x**2. Let g(z) = z. Calculate d(g(p)).\nAnswer: 3*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4124722 (base 8) in base 4?\nAnswer: -10022213102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-40)*-6)\/(48\/(-64)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 693*c**5*j - 7*c**3 - 307*c*j + 2*c wrt c.\nAnswer: 13860*c**3*j - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 3. Let a = -2776 + 2862. Calculate the remainder when a is divided by y(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297 by 4.\nAnswer: -297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = 4*i. Let y(l) = -4*l**2 - l**2 + 0*l**i + 3*l**2. Let f(v) = -13*v - 8 + 8. Give f(y(r)).\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 0*i**3 + 0*i**6 + 4*i + 0 + 0*i**2 + 1\/21*i**7 + 1\/3*i**4 + 0*i**5. Find the third derivative of o(f) wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2950 + -1681. Suppose -p = -4*n - 143 - 1150, -2*n = p - v. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**2 + 0*a**5 + 0*a**3 + 0 + 0*a - 11\/8*a**4 - 1\/24*a**6. Find the second derivative of c(g) wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -9.\nAnswer: -9, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 721*l**2 - 227*l - 3114. Give k(240).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/7, 1.234 in descending order.\nAnswer: 4, 1.234, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 1202?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 662.\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 8) to base 6\nAnswer: -544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5012075\/214 - -46837\/2. Let x = 24475\/5136 + c. Find the common denominator of x and 89\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*23*18\/414)\/(1\/5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81*(-104)\/2574*99\/18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115580*f - 111954*f - 128862*f - 185829*f.\nAnswer: -542225*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20125.967272 take away -4?\nAnswer: 20129.967272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -1765, -2637, -3509, -4381, -5253?\nAnswer: -6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 4*u - 6. Let j be 6\/30 - (-132)\/15. Suppose n + 35 = j. Let c be (4 + n\/4)*-2. Determine l(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibibiibibi. What is prob of sequence bbib?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + d - 20, 2*d + 3 - 1 = 4*u. Suppose -u*k + 14 + 1 = 0. Solve -b + 5*b = -5*r + 27, 5*b = k*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/1350)\/(-2)*138\/(-23)*2.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(21\/(-6))*-31. Is 14 a factor of -1 - z*(-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46506992 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55784*u**3*x**4 - 17*u**3*x**2 - 2*u*x - 2*x**4 + 9*x**2 + 4 wrt x.\nAnswer: -1338816*u**3*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.0982+56618922248\nAnswer: 56618922249.0982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 28*l + 3888. Let i be (-1224)\/l - (1 + (-2)\/6). Put 3, 2\/7, i, 0.4 in decreasing order.\nAnswer: 3, 0.4, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308355034?\nAnswer: 2, 13, 223, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 19*x - 17*x. What is the closest to -3 in x, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -536 divided by 134?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 + 2065*j**4 - 4015*j**3 - 39085*j**2 + 16140*j + 123300 = 0?\nAnswer: -3, -2, 2, 5, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**2 + 8*l - 3. Let s(t) = -43*t**2 + 40*t - 17. Calculate -11*b(a) + 2*s(a).\nAnswer: 13*a**2 - 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 3. Let f = x + 1. Suppose 4 = j - f*w + w, 4*w = 4*j - 40. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/12)\/((-2)\/3). Let o(x) = x**2 - 2*x + 1. Let d be o(v). Suppose d = 3*k - 14 + 2, 2*r + 5*k - 24 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*b - 2. Let n be (b\/(-4))\/(2\/8). Solve -4*a - o - 17 = 0, a + 3*o - 10 = -n*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 880712651*s**4 - 483881017*s**2?\nAnswer: 21137103624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3322033 (base 8) to base 15\nAnswer: 129d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*q**3 + 78*q**3 + 53*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20096 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1762*x + 4179*x + 334819 + 171490 - 1324 = 0 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -762 - -762. Let z(t) be the third derivative of -8*t**2 - 7\/60*t**5 + 5\/24*t**4 + 0 + 1\/3*t**3 + x*t. Solve z(o) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u + 0*u)*(55*u + 278*u + 941*u)*(1 + u - 1).\nAnswer: 1274*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 60*v + 3849 + 561 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 622558602178.\nAnswer: 622558602179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2242 + 8969\/4. What is the closest to -2 in -0.2, -3\/10, 4\/9, x?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/60)\/((-24)\/(-576))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + p + 11, 0 = -4*r - 2*p - 2. Is 18 a factor of (-1510)\/(-30) - r\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56865*j + 56864*j = 4*x - 30, 3*x - 4*j = -44 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**5*w**2 + 142*b**4*w**3 + 49*b**2 - 33*w**3 wrt b.\nAnswer: 300*b**2*w**2 + 3408*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbzbzuduz. Give prob of sequence ubdz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12805 divided by 5273\nAnswer: 12805\/5273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 11*s - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:42 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2 + sqrt(700) + -1 + sqrt(700) + sqrt(700) + (sqrt(700) - 1*(-1 + sqrt(700))))*6)**2.\nAnswer: -2160*sqrt(7) + 226836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*x - 0*x + 8, -5*x - 2 = -y. Suppose 0 = -x*n + 5*n. Which is the nearest to n? (a) -0.2 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 8*a - 270. What is the hundreds digit of v(31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -360*x**4 + 2*x**3 + 2826*x**2 - 4. Let o(q) = 3*q**4 + q**3 + q**2 - 2. Let h(r) = n(r) - 2*o(r). What is the third derivative of h(c) wrt c?\nAnswer: -8784*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125650927 to the power of 1\/2, to the nearest integer?\nAnswer: 11209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 19. Let l = 13 + -23. What is the tens digit of r(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(8\/(-6) + 0). Let n = 174 + -141. Suppose 15*z - 12 = n. Solve z*q - r*i - 19 = 8, 4*q - 5*i = 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - 7dd?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-408)\/(-36)*-155647 + 2\/(-3). What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34613 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/6*((-240)\/(-20))\/3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(500) + -1)**2.\nAnswer: -60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 16*q**2 + 5. Let n be w(16). Which is the biggest value? (a) 1\/2 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 186?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 10*c + 16. Let k be s(-9). Suppose 3*f = -2*f - k. Put -1, f, -2 in decreasing order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 2 k when four letters picked without replacement from {n: 1, l: 4, f: 8, k: 3, v: 1}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 2*b**2 - 2*b**2 + (-3*b + 3*b + 2*b)*(b - b - 2*b) + 2*b**2 - b**2 - 3*b**2 + 3*b**2 + 12*b**2 - b**2 + 0*b**2 - b**2 - 17*b + 27*b.\nAnswer: 6*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1945 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6594591 to the nearest one thousand.\nAnswer: 6595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = g, -439*g = 4*s - 878*g + 444*g - 97. What is l in -1\/2*l - 3*l**4 - s + 6*l**2 - 1\/2*l**5 + l**3 = 0?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 1)\/((-1)\/(-2)*1). Suppose -n*g = 3*i - 3*g + 567, 5*g - 756 = 4*i. Let q = -105 - i. What is the remainder when q is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 33*l + 27. Let d(c) = 5*c + 4. Let i(n) = -27*d(n) + 4*k(n). Let w(v) = 1. Let m(j) = -j + 5. Let x(s) = 3*m(s) - 15*w(s). Calculate i(x(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let c = 1718 + -1718. Suppose v - h*g = 13, 0 = -c*v + 5*v + 3*g. Solve -4*z = -5*r - 21, -2*r + 11 = v*z + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x**4\/2 + 75195*x**3\/2 + 242035*x**2\/2 - 3479775*x\/2 + 3116385 = 0 for x.\nAnswer: -46\/5, 3, 3011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-350)\/20*8\/(-10). What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -0.065 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -17, 4, -5\/2 in decreasing order.\nAnswer: 4, 0.2, -5\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47457*a + 189876*a - 47445*a + 2 - 47427*a - 47460*a.\nAnswer: 87*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -1\/2*i**2 - 5*i + 5. Let t = -22 + 19. Let o(g) = 1. Calculate t*o(a) - d(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:46 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -2. Let q(d) = -d. Let l be q(7). Let x = l - c. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/45 and -31\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*i + 352, 5*x + 12*i - 886 = 8*i. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -2*w**5\/15 + 7*w**4\/24 - w**2 + w. Let o(q) be the first derivative of a(q). What is the second derivative of o(d) wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 413 and 2688?\nAnswer: 158592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 327 + -2607\/8. Let q = -123\/88 + x. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203120.\nAnswer: 2, 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1536, 1, 0 in increasing order.\nAnswer: 0, 1\/6, 1, 1536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8309?\nAnswer: 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -156? (a) -4 (b) 3 (c) -3 (d) -1 (e) 112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405979703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 7:45 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 14) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**2*r**5 + 18*f**2 - 107*f*r**5 + 4*f*r**2 + f wrt r.\nAnswer: 240*f**2*r**2 - 6420*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53891 - 53463.61. Let l = 427 - t. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/294*-14*40\/160 + 14\/3?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + 2*g**3 - 3*g**3 + (-g + 3*g - 5*g)*(-161*g + 6*g**2 + 161*g).\nAnswer: -19*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*b - 171*b + 952 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37536 by 782.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1224*h**3 - 620*h**2 - 161*h\/2 - 1\/2 = 0. What is h?\nAnswer: -1\/4, -1\/153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-234)\/20)\/(6\/(-10))*-18. Let r = m - -513. Calculate the greatest common factor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(175) + 0 + 1 - (4 + -1*sqrt(175))) + 1 + -1*sqrt(175) + -1)*-2)**2.\nAnswer: -220*sqrt(7) + 821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13970.\nAnswer: 2, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - 1) - (-48 + 54)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026010306 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190\/59185)\/(5 + (-144)\/28).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -x + 15 - 1, 2*c + x - 8 = 0. Suppose 4*q + 2*l = 214, 2*q + c*q - 5*l = 290. Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 1715 = -3*f, -3*u - 16 = -4*f + 2269. Suppose 0 = -4*m + f + 345. Suppose -2*t + m = -3*s + 7*s, 0 = 5*s - 5. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*v**5 + 4*v**4 + 65*v - 225 wrt v?\nAnswer: 80*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 + 8*i - 7. Let m(j) be the third derivative of j**4\/8 - 7*j**3\/3 + 3*j**2. Calculate the remainder when m(12) is divided by u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 5*i + 9)*(0 - i + 0) - i**2 + 3*i**2 - 3*i**2 in the form n*i + o + z*i**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (7 + -1)) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153449203 is divided by 986?\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1*(-14)\/42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2567 and 478066.\nAnswer: 8127122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-16)*(-38)\/4275. Let w(g) be the third derivative of 0*g**5 + 0*g + 8*g**2 - m*g**6 + 2\/9*g**3 + 0 + 1\/12*g**4. Determine v, given that w(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**2 - 12*k - 38. Determine h(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 23*h - 19. Let r be t(1). Let j(v) be the second derivative of 0 - v - 13\/6*v**r + 4*v**2. What is the first derivative of j(k) wrt k?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -24*p + 304. Solve 23 - p = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6100)\/915 + 766\/114?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*a**3 - 169*a**3 + 74*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from dfygmfffdgddggfd?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.773 + 372.083. Let n = 382 - v. Let x = n - -1.58. Round x to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 11, 4 in descending order.\nAnswer: 11, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t + 2 - 14 - 24*t + 32*t. Give u(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l*w**2 - 2*l*w - l - 16*w**2 + 22 wrt w.\nAnswer: -14*l - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 120*p**2 - 30 + 121*p**2)*(-1 + 2*p + 0*p + 7*p).\nAnswer: 9*p**3 - p**2 - 738*p + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 5*b**2 + 5*b + 8. What are the prime factors of v(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -7*x**4\/24 + x**3\/3 - x**2 - 65*x + 15. Let r(i) be the second derivative of d(i). Give r(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 3 + d**3 + 0*d**3 - 1 - 4*d**2 to i*d + a + o*d**3 + r*d**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -63 - 18 - -6) + 44?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 39*c + 94. Let o be d(-2). Let f be (-5 - -1)\/((-2)\/56). What is the highest common factor of f and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.75 (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from menvtrr. What is prob of sequence tv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, 7, -1982, 0, -4\/5, 64\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4489258, 4489467, 4489674, 4489879, 4490082?\n\"Answer: -v**2 + 212*v + 4489047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 866 - 803. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + ((-10)\/4)\/(-5))*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 7. Let s be v(-5). Let d(z) = 27*z**2 + 3*z + 1. Is d(s) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 2940?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxvv when four letters picked without replacement from uxvvvuvxv?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 62 + 366*w + w**2 - 5 - 174*w - 175*w. What is the remainder when f(-15) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444281 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*x**3 - 9*b*x - 3*b - 5*x**3 + 6*x**2 wrt x?\nAnswer: -6*b*x - 30*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.6 - -39. Let n = x + -0.39983. Round n to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -777*q**3 - 7*q**2 - 10*q + 1. Let v(h) = -779*h**3 - 6*h**2 - 8*h + 1. Let r(k) = 4*g(k) - 5*v(k). What is the units digit of r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Solve f*t + 8 = u, 0 = 2*u - 3*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 5. Let h be 10\/4*(-2 - (-1 - 3)). Suppose 6 = -h*u + 16. Suppose u*j + 5 = 19. What is v(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 5*c = -30, 5*q + 5*c = 8 - 33 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 418\/38 + 357 + -3. Solve -2*x = 365 - g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 26*y + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -1, -3 in ascending order.\nAnswer: -19, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/1399?\nAnswer: 6\/1399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*t**2*y**2 + n*t**2 - 19*n*t*y**2 - 5736*n*y**2 - 364*n*y + 5200*y wrt y?\nAnswer: 4*n*t**2 - 38*n*t - 11472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-7)*193\/(579\/(-84))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-8))\/((-160)\/(-1632))*64\/(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 5*k - 4. Let m be (0 - -4)\/(0 + 2). Let w(l) = m*l - 2*l - l + 5. Let a be w(9). Determine i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 3*y**2 - 2*y - 5. Let h be l(4). Let i be 3 + (h\/(-1))\/3. Suppose -5*s + 3*f = 9, 3*s = -s + i*f - 6. Is 2 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - c = 4*c + 398, 3*c = 6. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t**3 + t**3 + 2*t**3)*(-10*t + 2*t - t) + 18 - 20 - 4*t**3 + 2*t**3 + 13*t**4 as h + n*t**4 + x*t + z*t**3 + k*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 3703587?\nAnswer: 3703586.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7046858?\nAnswer: 2, 7, 13, 31, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/38 less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31681 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 181, 278, 445, 682, 989?\n\"Answer: 35*y**2 - 8*y + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15967 - 191725\/12. Let d be 75\/(-76) - 2\/(-2). Let a = 2321\/228 - d. Find the common denominator of w and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4588926882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140311312 (base 5) to base 13.\nAnswer: 1bc8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*v**3 - 547 + 251*v**3 - 506*v**3 + 33.\nAnswer: -v**3 - 514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-825)\/(-15)*10\/(-25)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5949 > -5948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.248 - 0.048. Let l be ((-4)\/(-6))\/((-56)\/12). Which is the smallest value? (a) l (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - 4163883\nAnswer: -4163954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2176 - 2224. Let x = 153.61254 + -201.6124. Let b = x - j. What is b rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxty when four letters picked without replacement from {k: 2, y: 4, x: 1, m: 1, t: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5312964, 5312986, 5313030, 5313102, 5313208, 5313354?\nAnswer: 5313546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 2*l**2 + 55040554848 - l**2 + 3*l**2 - 55040554848.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18691 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7638?\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, n: 3}. What is prob of sequence qnn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3558, 3559, 3560, 3561?\n\"Answer: o + 3557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9007695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1038, 2050, 3062?\n\"Answer: 1012*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -0.041.\nAnswer: 51.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*g - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203*a**2 - 6718*a**2 + 31579*a - 31579*a to the form o + u*a + w*a**2 and give w.\nAnswer: -6921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 31 = 5*o, 0 = -4*d + 39*o - 42*o + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206439 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.3 - 1.3. Let z = 278216\/17 + -16366. What is the second smallest value in r, z, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a - 90 - 41 = 22*a. Let p = 1295 - 19418\/15. Is a < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*o = 15, -s + 57 = 5*o + 62. Which is the nearest to -1\/22? (a) 2\/7 (b) 5 (c) -0.3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-594)\/(-81))\/(8\/(-9)).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-25)*a*a**(1\/8)\/a assuming a is positive.\nAnswer: a**(-199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s - 6 + 3*s + 2*s. Let k be -11*(-3 - 2*-2). Let b(y) = -2*y + 2. What is k*b(r) - 4*w(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148 - 157 + 3*v**3 + 2*v**4 + 2*v - 3*v**3 + 276 + 1071*v**2 wrt v.\nAnswer: 24*v**2 + 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5482 divide 94099631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2205109\/385362 + 1\/21409. Let n = 3176 - 37963\/12. What is the common denominator of y and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.77972 to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 342354373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/10 - -13\/30. Which is the closest to 2? (a) -5\/4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**3 + 2*i**3 + 1 + 17*i**3 to the form d + p*i**3 + t*i**2 + k*i and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 - 25*w**2 - 1\/150*w**5 - 2\/15*w**4 - 7\/15*w**3 - w. Factor s(j).\nAnswer: -2*(j + 1)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 2. Let q = -433 + 415. Let t(l) = 2*l**3 + 37*l**2 + 18*l + 4. Let r be t(q). Calculate a(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 2) + 2 + (510 - 515). Suppose 3*d + 90 = 8*d. Let x be 1\/(d\/(-10) - -2). Calculate the greatest common factor of x and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:04 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*y**2 - y**4 + 0*y**3 - 295 + 2*y**3 + 297 to b*y**4 + a*y + m + q*y**2 + d*y**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33408616?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.137 and 105561?\nAnswer: -14461.857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/19 - 20*s**2\/19 + 24*s\/19 + 144\/19 = 0. Calculate s.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 0 = n + g*n - 4. Let u(c) = 34*c - 73*c + c**2 + 41*c - 2*c**2 - 1. Give u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, t: 2, j: 1, y: 2, k: 1, s: 1}. What is prob of picking 2 y, 1 t, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235)\/94*-24*160\/(-300)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -186053264.\nAnswer: 186053264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1 - 36\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5761 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 7*a - 65. Let u(o) = -4*o + 4. What is the remainder when x(-7) is divided by u(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) -4 (c) 0.4 (d) -248 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 378 - 180. Let b(t) = -1 - 156*t**3 + t - 3*t**2 + d*t**3 + 6. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 5 (c) -2 (d) -2179\/2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144760 is divided by 71102.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6532, 13051, 19554, 26041, 32512, 38967, 45406?\nAnswer: 51829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99f8e3f - 4?\nAnswer: -99f8e43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*x + 94*x + 0 - 175*x + 1 - 1.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l - 8, -q = 3*l - 54. Let i = q - 37. What is the nearest to -1 in -0.5, -0.4, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 46 = -5*q. Suppose 99 = 5*p - a, 0*p + 2*p = 2*a + q. Find the third derivative of -p*x**4 - 1707 + 34*x**2 + 1707 wrt x.\nAnswer: -456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 2.06. Let r = 74 + -77. Let v = 27 - 26.93. Which is the third biggest value? (a) j (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, -8, -26, -44, -62, -80?\n\"Answer: -18*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 28 = -2*c, 2*u + 5*c - 82 = -u. Let o(b) = 3 - 14*b - 10*b + u*b - b**2 + 3. Let r be o(-6). Solve r = -0*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r - r + 5*r)*(7 - 3 - 2) - 29 - 19*r + 29 to the form q + a*r and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-648)*1\/(36\/16))\/(4\/(-4)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-16632)*22 + -3 + 9\/3.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3245 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35502 rounded to 2 decimal places?\nAnswer: 3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -300.001 and 357.8116.\nAnswer: 57.8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.466978 litres?\nAnswer: 1466.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 8*p - 18. Let o be c(10). Suppose 0 = -3*w + 3*f + 1626, 2717 = -149*w + 154*w + o*f. List the prime factors of w.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 26.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + f + 15. Let g(t) = 2*t**2 + 7*t + 2. Let b be g(-4). Suppose -b*p - 6*p = 36. Sort 2, p, f in decreasing order.\nAnswer: f, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99873557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 0.099?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6852 = -576 - 4240. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 1, -2 in ascending order.\nAnswer: -2, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -198. Calculate the least common multiple of -26 - -26 - (0 - m\/(-2)) and (-26 - -8)*(-3)\/2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p**4 - 61356*p**3 - 922906*p wrt p?\nAnswer: -72*p**2 - 368136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.757 years to centuries.\nAnswer: 2.71757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 + (-12)\/(-4) + 0. Let i(v) = 2*v**3 + 3*v**2 + 3*v. Let w(q) be the second derivative of q**5\/10 + q**4\/6 + q**3\/3 + 7*q. Give c*w(x) - 2*i(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 11. Suppose -d + 3*d - 524 = m*h, -4*h - 1040 = -4*d. List the prime factors of d.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -648 in -2, -4, 2, -2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:01 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658577 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -537043?\nAnswer: 537030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24022 is divided by 40?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9101677 - 2987677. Round f to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = -32. Let a(m) = m**2 - 3*m - 24. Let h be a(7). Suppose o = -0*s + h*s. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 22*z**2 + 6*z. Let h be i(1). Suppose -5*l - 13 - 9 = -3*c, h = 5*c - 4*l. Solve -c*v - 8 = -2*b, 0*v - b = 3*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 + 64. Find the common denominator of i\/(-16) - (-8 + (0 - -4)) and 13\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*f - f = -108, -2*b + 104 = -4*f. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 + 19 + 234)*(0*p - 2*p + 5*p).\nAnswer: 1026*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 851418 and 69532470?\nAnswer: 208597410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 492530832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1685799 is divided by 276?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1154 (base 9) to base 13.\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3932*j**3 - 1310*j**3 + 3 - 1311*j**3 - 1307*j**3.\nAnswer: 4*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 171 = 163. Solve -2*b = g - 9, 3*b = u*g + g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**4 + 5*d + 7. Let c(s) = -3*s**4 - 3*s - 5. Let v(h) = 7*c(h) + 5*w(h). Find the second derivative of v(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -42. Let c(s) = -s**3 - 2*s**2 + 6*s + 40. Let w be c(-6). Calculate the greatest common divisor of p and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 2\/3*f**3 + 0 - 16*f - 21\/2*f**2. Let k be m(6). Solve 4*s - x + 1 = -0, -2*s = k*x - 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11066, -11072, -11080, -11090, -11102, -11116?\nAnswer: -11132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/451)\/((-14)\/(-22))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (0 + 85\/30)) + 34038\/(-6588).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) 7 (c) 215 (d) 0.08 (e) 1\/2 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 64?\nAnswer: 3008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -9, 0.11, -96, -4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 9\/2*j**2 - j.\nAnswer: -j*(9*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x**(3\/5)\/x)*x*(x*x*x**(-3\/4))\/x*x)\/(x*(x**(-10)\/x*x*x)\/x*x*x**(-6)) assuming x is positive.\nAnswer: x**(393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 8 = 0. Suppose -5*p + 5*q = 10, 2*q = -4*p + 5*q - r. Let t = -2 - -5. Is t less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 834749187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)*f**(-1\/6))\/(f\/f**0)**35)**43 assuming f is positive.\nAnswer: f**(-27391\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/(k**(-1\/9)*k))**(-20)*((k**1)**(1\/6))**(1\/5) assuming k is positive.\nAnswer: k**(-5597\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -5*t + 166. Let r be (0\/(-1) - 0) + (-1 - -6). What is the lowest common multiple of 4\/(-42) - (r + 894\/(-126)) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 1 q when three letters picked without replacement from {j: 3, q: 3, t: 5}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r + 2 - 74*r**2 + 2*r + 76*r**2)*(r - 2 + 2) in the form z*r**2 + c*r + p + y*r**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*g = 18, 0 = -2*r - 4*g - 75 + 63 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiy when three letters picked without replacement from yoiyiyoo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 267*r**3 - 2380 + r**2 - 4*r + 4*r + 266*r**3 to the form s*r**2 + w*r + g*r**3 + f and give f.\nAnswer: -2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1500 and 73\/95466450?\nAnswer: 954664500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25907511 < -25907512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 66 = 7. Suppose 52 - a = f. Let w(m) = -m**2 - 13*m - 38. What is the remainder when 62 is divided by w(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 3185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11c + -5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000410122 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -127*w**2 - w - 1. Give o(-1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280059311.\nAnswer: 3, 197, 2165921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100250\/(-18045))\/(8\/16*(-3)\/(-27))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 - 683*n**2 - 116280*n + 116964 = 0 for n.\nAnswer: -342, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38856*b*f**5 + 31*b*f**3 - 22972614*b*f wrt f.\nAnswer: 777120*b*f**3 + 186*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1804 - -126.051208.\nAnswer: -1677.948792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 28 = -2*h. Let q = h - 20. Solve -d - 4*t = -q + 28, -4*d = 4*t + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0.38. Let d = 0.002 - -0.298. Which is the third smallest value? (a) d (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 15*j = 481, -9*i - 49 = 146*j - 142*j + 88 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002337902021 rounded to 7 decimal places?\nAnswer: 0.0023379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -5. Let q be 0\/2 + 2\/1. Calculate the greatest common divisor of q and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0 + 1\/168*t**8 + 0*t**4 - 1\/30*t**5 + 0*t + 0*t**6 + 0*t**3 + 0*t**7 - 2*t**2. What is the third derivative of u(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166867?\nAnswer: 13, 89759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23534 divided by -2.\nAnswer: -11767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, 172, 835, 2184, 4447, 7852?\n\"Answer: 38*d**3 + d**2 - 64*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88.9435 + -0.1565. Let c = 89 + u. Let p be 4\/2 - (1 - 0). What is the nearest to 0.1 in 3\/8, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 1277245.\nAnswer: 132833480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 = 4*r - k, -25 = -5*k. Let v = 17 - r. Suppose x = v - 1. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5445 - 82*w**2 + 5445 in the form y*w**2 + z + o*w and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, 1\/6, -1265, -2\/31, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1454, 2907, 4358, 5807, 7254?\nAnswer: 8699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 323897508 divided by -35988612\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k = -92*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.3, 0.1, 5, 1172, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 544*g**2*n*w - 19*g**2*n - g**2*w + 18*g**2 - 3*n - 98*w + 1 with respect to n.\nAnswer: 544*g**2*w - 19*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-600)\/(-16425))\/(140\/(-35))?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - z + 2. Let n(w) = -3*w**2 - 2*w + 5. Calculate 5*d(c) - 2*n(c).\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 3*a. Suppose -4*f = -8*f - 3*u + 1, -5*u = -15. Let n(l) = 5*l**2 - 12*l + 1. Let z = -59 + 50. Let m(y) = f*n(y) + z*j(y). Factor m(d).\nAnswer: -(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-1\/13)*d*(d**8\/d)\/d assuming d is positive.\nAnswer: d**(103\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/2 - 4*y**3 + 9*y**2 - 8*y - 144. Factor f(l).\nAnswer: 2*(l - 4)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6909, -55156, -186117, -441150, -861613, -1488864?\n\"Answer: -6893*n**3 + n**2 + n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25706, 40663, 55620, 70577?\nAnswer: 85534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -448538 and -4256.052.\nAnswer: -452794.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27298)\/(-3212) + (-339)\/226 + -7. Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 115?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-192)\/840)\/(12\/30)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/2)\/v*v**(1\/4)*(v*v\/v**2*v)**(-8) assuming v is positive.\nAnswer: v**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29a09221 + -4?\nAnswer: -29a09225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 5486061 (c) -1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*u**3 + 92*i*u**2 + 432*i*u - 5*i + 348*u**2 + 2*u wrt u.\nAnswer: -12*i*u + 184*i + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, 9, -4, -2 in decreasing order.\nAnswer: 21, 9, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 19\/10257479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 553039 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -889824672 and -35.\nAnswer: -889824707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*4\/(16\/(-62)). Let h = s + 54. Suppose -22*a - 46 = -h*a. 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: Solve -k = v - 1, k = -3*v + 4*v - 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/181728 and -91\/1296.\nAnswer: 1635552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 7855247631371?\nAnswer: 7855247631369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 35*w**2 + 48*w - 3. Let o(b) = -23*b**2 - 31*b + 2. Calculate -5*i(f) - 8*o(f).\nAnswer: 9*f**2 + 8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5 = -3*y, -4*y - 2 = -3*r - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 r, and 1 v when four letters picked without replacement from rvkhrhrkkkrkrrrxxv.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (179 - (6 - -189)) + 14 + 0 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1736 - 951. Suppose c = 5*i + 635. Calculate the least common multiple of i and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 38.17?\nAnswer: -45.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o = 76*o - 52*o + 9835. Which is bigger: o or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420810 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4705916?\nAnswer: 2, 349, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 423*h**2 - 6*h - 2. Let t be n(3). Suppose -1249 = -4*j + t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 433 - -31063?\nAnswer: 31526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:01 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -17, 1, -0.01, 103?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104986 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 784 - 1006. Let r = 100 - 172. Let a = y - r. What is the closest to -2\/17 in a, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*y**4 - 2791*y**3 - 4959*y**2 + 7759*y + 84 = 0. What is y?\nAnswer: -28, -3, -1\/93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 22 - 32 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27247 + -26617. Solve 629*m - 1 = f*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1846*o + 14769. Give u(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p + 2*p = -36 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3187, -240, 11, 3 in descending order.\nAnswer: 3187, 11, 3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 31. Let s(g) = -g - 1. Let c(t) = -7*t - 7. Let w(a) = q*c(a) + 6*s(a). What is w(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (6 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446221797 to the power of 1\/2, to the nearest integer?\nAnswer: 21124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 151328.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 18624 - 5783. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/12)\/((-2)\/8). Factor -h*d + 0*d**3 + 0 - 4\/3*d**2 + 4\/3*d**4 + 2\/3*d**5.\nAnswer: 2*d*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from qtjqqqttjqqttqt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010111111 (base 2) to base 11.\nAnswer: -8674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*z**2 + 10 - 9 - 2 in the form n*z + v + o*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:50 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttttyttyytttttttt. What is prob of picking 4 t?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 112\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)*y**(-2\/11))\/(y\/(y*y**(-3\/2))*y*y\/(y*y\/(y\/(y\/y**(-7))))))\/((y**(-3\/5)*y*y**(1\/12)\/y)\/(y\/y**(-4\/5)*y**(2\/9)*y)) assuming y is positive.\nAnswer: y**(3677\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19973\/5868 + 342\/163. Find the common denominator of p and -2\/1269.\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 39. Calculate the remainder when f is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -5 (c) -0.3 (d) 1\/5 (e) -21 (f) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 7*w**4 + 384*w**3 - 6*w**4 - 2*w**4 - 150 - 385*w**3 to the form d*w + k + z*w**2 + n*w**3 + c*w**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (6 + -62 - 35)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence numn when four letters picked without replacement from {n: 3, w: 8, o: 1, u: 2, m: 1, p: 1}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*v - 4*j, j = -0 - 4. Suppose v*b - 6 = -0. Suppose 0 = 5*z - 10, -7*x + 252 = -b*x - 4*z. Calculate the remainder when x is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from ytl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 52*o - 643. What is w(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9*g = -20. Suppose -3*m = -h - 39, g*m - 11 - 4 = -3*h. Are m and 37\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 3*sqrt(245) - sqrt(5)) + -4.\nAnswer: -21*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 82*t**3 - 17*t**4 - 2 + 174*t**3 - 91*t**3 to the form x + q*t**4 + w*t**2 + l*t + i*t**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 20 + 14 = 0. Suppose 0 = 2*s + 4*q + 602, -m*s + 5*q = 2*s + 1230. Let r = s + 481. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-78)*33*42\/(-77)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -2\/13 (c) 5\/3 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 5*k - 7*k + (-4*k + 5*k - 3*k)*(1 + 0 - 2) - 2*k + 2 - 2)*(3 - 3 + 1)*(-2*k + k + 2*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 218 and 78128.\nAnswer: 17031904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3305 or -3308?\nAnswer: -3308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1399985 = c + 3*v, -3*v + 3060375 + 2539640 = -4*c. What is c rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 8*g + 4. Let v be w(8). Suppose -4*k - 2*f + 221 = -3*k, -v*k = 2*f - 884. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(96\/218) + 0 + (-12)\/(-144). Suppose 2*y + 3 = 1. Put -4, 0, y, r in descending order.\nAnswer: 0, y, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30784972*-1.\nAnswer: -30784972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -c + 8, -8*c + 3*c = j - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 * -5057497\nAnswer: 313564.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -1. Let s = -29 - -34. Sort w, -4, s in descending order.\nAnswer: s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - 57*b**2 - 30*b + 8. Let p be f(12). What is the greatest common factor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -146, -163, -198, -257, -346?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -20. Suppose -7*l + f*l = -77. What is l rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243273, -486551, -729831, -973113, -1216397?\nAnswer: -1459683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001111111 (base 2) in base 13?\nAnswer: -12b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2*((-9)\/2)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - -20?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176*k**3 - 621*k**4 - 1312 + 316*k**4 - 1008*k**2 + 303*k**4 - 1984*k.\nAnswer: -2*(k + 2)**3*(k + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = -2. Let y = 1 - -1. Suppose 0 = y*p - 4 - h. Is 3 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*m + 27, b + 21 - 8 = -m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 4, t: 2, l: 2}. What is prob of picking 1 q and 1 t?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 0*w + 0 + 1 + w + 3*w**2. Suppose 3*l + 3*c = -6, 5*l - l + 9 = -3*c. Give o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1408398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415\/2 + 86. Let l = m - -147. Find the common denominator of l and (-549)\/(-60) + -4 - 33\/165.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14065491*v - 1. Let y(j) = -2*j**2. Calculate r(y(k)).\nAnswer: -28130982*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29168849*s**4 + 28961*s + 313 wrt s?\nAnswer: -350026188*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9348012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-6 + 9 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/469889 and 59\/11704?\nAnswer: 41350232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 5*a + 2*a - 2*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -170*j**3 + 9*j**2 + 20*j + 35. Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgf when three letters picked without replacement from oofogtomo?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 11:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 2921.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -237*j**2 + 237*j**2 + 8*j**4 + (-2*j**4 + j**4 - j**4)*(0 - 1 - 4).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 212536 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*r**4*t**3 + 4292*r**4*t**2 - 32*r**2*t**3 - 29695*r**2 wrt r.\nAnswer: -960*r*t**3 + 103008*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 38*m**3 + 2 - 70*m**3.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 2*y + 4*h, -y + 5*h + 311 = y. Suppose 3*c = -5*v + 101, -4*c - 2*v + y = -0*v. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a. Is a greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17270?\nAnswer: 2, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 286880 rounded to the nearest one thousand?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, s: 6, b: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3\/5 + 176*h**2\/5 - 1524*h\/5 + 2376\/5 = 0. What is h?\nAnswer: 2, 9, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 minus 29876724?\nAnswer: -29873894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 4\/7, 2\/9, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - (-6490)\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-14 - -18) - (8 - (-2 + -8 + -22)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose 5*t + 2*c - 45 = 0, 5*t - 6*t + 5*c + 36 = 0. Let x = t - v. Put x, 1, -5 in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -25*a + 19. Let x(m) = 17*m - 18. Calculate 3*l(n) + 4*x(n).\nAnswer: -7*n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23901216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 7683448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**3*q**2*z - c**3*q**2 + 45559*c**2*q**2*z - c**2*q - 8*c*q**2 + 45*q**2 wrt z.\nAnswer: -4*c**3*q**2 + 45559*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3090689 or -3090687?\nAnswer: -3090689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 412*u - 408*u = 8, -2*z + 5*u = 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 2) + -105 + 87.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 2. Let k be i(-2). Let w = -6 - -10. Sort 5, k, w in descending order.\nAnswer: 5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5 in ascending order.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29068 - -29069.2163. Let q = 1.22 - w. Round q to 4 dps.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*x + 2079*x - 1034*x + 174*x**3.\nAnswer: 174*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44172 is divided by 320?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1420*a**3 + 3249*a**2 + 1 + 3250*a**2 + 3245*a**2 + 221*a**3 - 9744*a**2.\nAnswer: 1641*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -31207?\nAnswer: 31219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/3 - 3*s**2\/2 + 3*s. Let k be y(-4). Solve 0*n - 5*n = -k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t + 5*t**2 + 8*t + 26 - 25 + t**2. Calculate p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.008161cm?\nAnswer: 60081.61","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and -1 - -744 - 832\/104.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39 and 40992.\nAnswer: 40953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*l + 827, 0 = 3*l - 0*o - 2*o - 823. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 7*a - 4*a. Let s(k) be the third derivative of k**6\/360 + 13*k**3\/2 - 118*k**2. Let w(g) be the first derivative of s(g). Determine q(w(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4\/3 + 99*s + 3. Let o(z) = 113*z. Determine t(o(f)).\nAnswer: 51076*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641929 is divided by 300.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/6 + (103 - 97). Sort y, 4, -3 in increasing order.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.5 * 1329.6\nAnswer: -24597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + p - 4 + (2 - 4 + 3)*(2*p - 3 + 3) - 2 + 5 - p + 1.\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0248? (a) -0.2 (b) 0.07 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2524676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {y: 3, f: 2, s: 3, x: 1, k: 2, m: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 27 = p, 0*q + 5*p + 7 = 2*q. Calculate the least common multiple of q and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*p + 3*p + p)*(0*p**2 - 2*p**2 - 3*p**2) + 471 - 471 + 24*p**3)*(-p + 4*p + 3*p) to the form w*p + d*p**3 + h*p**2 + q*p**4 + j and give q.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, 6995, 30128, 76825, 154940?\nAnswer: 272327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 776 = -2*n + 5*h, 2*n - 774 = -4*h. Suppose 65*g = 94*g - n. Calculate the highest common divisor of g and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-20) - (-28)\/20. Let s(v) = -4*v**2 + 9*v**2 - 5*v**2 + 6*v**t. Let z(n) be the first derivative of 3*n**2\/2 + 1. Determine z(s(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(2*d + 0*d - d) + (-5*d - 3*d + d)*(-4 + 4 + 2) in the form s + j*d and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtvd when four letters picked without replacement from {v: 5, t: 1, d: 4, s: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 36 = 4. Suppose -50 = 21*k + 69 - 14. Which is the second smallest value? (a) f (b) k (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*j + 1048*j - 437*j - 1 + 11*j + 2.\nAnswer: 2055*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -293, 0.1, 1\/4, 2\/23, 1\/6, 272, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -9544?\nAnswer: -9529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13441200 (base 5) in base 4?\nAnswer: -202032033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/35, 0.1, -1\/2, 56, 3, 93, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 * -0.5.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 22) + (46 + -38 - -45)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0 - 4, 3*b - 38 = x. Suppose 15*m = b*m + 6. What is the greatest common factor of m and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 29*v + 6. Let y be g(29). Solve 3*j - y*j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiqzzqqqqh. What is prob of sequence eh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 4*y**2 + 3*y + 4. Let g be n(-3). Let q(m) be the second derivative of m**3\/2 + 2*m - 9. What is q(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14532*z**2 - 14215*z**2 - 14535*z**2 + 43278*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/27*39 - (-2 - -6). What is the highest common factor of m and 2101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.028 in 2\/7, 3\/2, -23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y + y - 110*y to t*y + c and give t.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 74783.53 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u + 3. Let d be y(-5). Suppose 16*b = d*b - 108. Calculate the remainder when 33 is divided by (2\/6)\/(3 + 104\/b).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.7191 millimeters in meters?\nAnswer: 0.3747191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/210 and 109\/360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3\/9 - 0). Let x(j) = -j. What is the units digit of x(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3994, -7975, -11954, -15931, -19906?\n\"Answer: j**2 - 3984*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.048 - 5.07069. Round n to 4 dps.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 433 (b) 14 (c) -0.5 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -42*y. Let x(m) = 44 - 46 + 10*m - 51 + 53. Determine x(l(u)).\nAnswer: -420*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**2*z - 99*v**2 - 138*z with respect to v.\nAnswer: 8*v*z - 198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*z**3 + 133*z**3 - 18*z**3 - 2*z**4)*(-z - z - 4*z).\nAnswer: 12*z**5 - 1212*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 48 = -5*l - 15, -2*l + 12 = y. Put 2\/3, y, 0.034 in increasing order.\nAnswer: 0.034, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -25*n**2 + 2*n + 807. Let d(m) = 100*m - 5. Give 5*a(r) + 2*d(r).\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -76. Let j(b) = 50*b - 24. Let d be j(4). What is the highest common divisor of a and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 1\/4, 2, -0.19, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 2*x + 0*x)*(-25 - 22 - 6).\nAnswer: -106*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55003, -4, -2\/9?\nAnswer: -55003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.028 and -7802.4.\nAnswer: -7802.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12315650*s*v**2 + 146*s*v + 27276*s - 2*v wrt v?\nAnswer: 24631300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390090.\nAnswer: 2, 3, 5, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k**4 - 2*k**4 + 5*k**4)*(-2 - 1097*k + 2225*k - 1113*k).\nAnswer: 195*k**5 - 26*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14210 and 93177?\nAnswer: 6522390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 597111426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 159354036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 31*x + 147 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {l: 4, h: 3, e: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105461.8061 and 5.\nAnswer: -527309.0305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrddkkrddp. Give prob of picking 1 d and 1 n.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45724107 (base 8) in base 3?\nAnswer: -200200221202200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 64*f**2 - 6*f + 146. List the prime factors of n(17).\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwojwzwwwwowjfwwwo. What is prob of sequence fo?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 + 2216*o**2 + 248714*o\/3.\nAnswer: -2*o*(o - 3361)*(o + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/120 - g**5\/20 - g**4\/12 + 5*g**3\/6 + 16*g**2. Is k(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9)**(-3) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-three quarters of a micrometer?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(117)\/sqrt(441) + 4).\nAnswer: -20 - 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40048991 to the nearest integer?\nAnswer: 6328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6957, -15350, -23739, -32124?\nAnswer: -40505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*d**2*f**2 - 27844*d**2*f + 2*d*f**2 + f**3 wrt f.\nAnswer: 192*d**2 + 4*d + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 74. Let f(w) = -6*w**2 + 130*w - 864. Let y(r) = -2*r**2 + 43*r - 288. Let s(o) = u*y(o) - 5*f(o). Factor s(b).\nAnswer: 2*(b - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*j + 26 + 6, -2*j - r + 13 = 0. Suppose 5 - j = -t. Let a(z) = 4249999*z**2 + 3*z - 2. Let d be a(t). Round d to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**3 + s**2 - s + 5. Let h(j) = 3*j**3 + j - 5. Calculate 3*h(k) + 2*i(k).\nAnswer: k**3 + 2*k**2 + k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4\/3 (c) -2\/7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 4*b + 28 = 13*k, 0 = k - b + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (-13)\/(91\/35). Solve -2*g - 2*m + 4 = y, 3 + 9 = -4*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308.8196335 + -24.8190755. Let y = x + -284. Round y to 5 decimal places.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1582+1\nAnswer: 0.8418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3105, -3107, -3111, -3117?\nAnswer: -3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 4*k + 4, -2*k = -3*f + 34. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 553829.8 centuries?\nAnswer: 5538298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + 2145\/(-99))*51.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17*y + 8 = -19*y, 2*n + 3*y - 3 = 0. What is the nearest to -1 in -3, -2, n, 1.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.17 - 1.17. Let l = -52 + s. Let g = 4 + -1. What is the closest to -0.02 in g, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3850 and 53641742?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 + 3. Let d = 0.19 + -0.09. What is the nearest to d in h, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6405\/8 (b) -128 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-5\/2)*c)\/(c\/(c*c\/(c*(c\/(c**(-5)\/c))\/c)))*(c\/c**(-6))\/(c*c**8))**26 assuming c is positive.\nAnswer: c**(-247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 13. Let w = a + -7. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4, z: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(1700) - ((sqrt(1700) + -1)**2 - sqrt(1700))) - (sqrt(1700) + 0 + (sqrt(1700) + sqrt(1700)*1)**2)).\nAnswer: -250*sqrt(17) + 3408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 4, 0.42, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = 1. Let k(n) = -n**2 + 11*n - 17. Let m be k(h). Differentiate -m*u**3 + 6*u - 4*u - 1 - 2*u wrt u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3647227833?\nAnswer: -3647227839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -7, -19, -31, -43, -55?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2.8. What is d rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 16*k**2 - 15*k - 29. Let h = -132 + 149. Let u be i(h). Solve 0 = 2*x + u*x + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 2*b**2 + 1. Let c be l(-2). Suppose 4*m - 9 = 11. Let g = 144 - 140. Put -5, m, c, g in ascending order.\nAnswer: -5, c, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - 60. Let y = g + 103.99999862. Round y to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 1016*l + 462*l - 24 + 444*l.\nAnswer: 1922*l - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9560, -18838, -27824, -36518, -44920, -53030?\nAnswer: -60848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 64. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0 + 0)*((-3 + 5 + 1)*(-25 + 33 - 107) + (1 + 1 - 1)*(0 - 1 + 2)).\nAnswer: 592*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n + 8. Let m be q(-6). Suppose 2*f = 4*c - 28, 3*f - 2*f + 29 = 5*c. Let j = m + f. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 - 2*q + 3. Let k be s(1). Let n(v) = v**2 - 9*v + 10. Determine n(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose 0*h = -2*h + 770. Suppose u = -3*a - 2*a + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1212.15 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -380*u - 3420. Calculate k(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*b + 12 + 0 - 35*b - 6*b + b + 3*b + (-1 - 2 + 2)*(b + 2*b - 2*b) + 2*b - 3*b + 2*b.\nAnswer: -4*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 11:26 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039023244 rounded to 6 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14723*t**2 - 16132*t**2 + 7841*t**2 + (0*t + 3*t - t)*(-4*t - t + 3*t).\nAnswer: 6428*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 0)*(-2 - 2 + 6 + 0 + 1 + 1 + (0 + 1 + 0)*(-3 + 4 + 1) - 2 + 1 - 1 - 1 + 2 + 1)*(-2*k + k + 3*k).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.7 - -4.607. Sort 5, -2\/29, w in increasing order.\nAnswer: w, -2\/29, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195519\/213640 - 423\/545. Let t = j + -9\/49. What is the common denominator of t and 2\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 + 424 - (1 - 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247446 divided by 27494.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2219 and 7252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14878226 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -17*p**2. Let r(u) = -20*u - 18. Let q(g) = g + 1. Suppose -41*o - 18 = -32*o. Let a(v) = o*r(v) - 36*q(v). What is a(c(f))?\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 20 = 0. Solve -4*k + 14 = -u - 2*u, j = 5*k + 3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 9*v**8\/28 + 2*v**7\/21 - 29*v**4\/6 + v**3\/6 - 8*v + 8. What is the third derivative of y(b) wrt b?\nAnswer: 2160*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(810))\/(2*sqrt(20)\/sqrt(4)))**2.\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23074, -23194, -23314, -23434, -23554?\n\"Answer: -120*c - 22954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v**2*z**4 - 6*v**2*z**3 + 3*v**2*z**2 - 113*v**2 - z**5 wrt z.\nAnswer: 96*v**2*z - 36*v**2 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01436517482 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*f + 86, -5*f + 6 = 1. Let k = 48 + w. Suppose k*n = 22*n - 52. What is the remainder when n is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -98*s - 2. Let b(r) = -147*r - 3. What is -5*b(i) + 8*x(i)?\nAnswer: -49*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*p - 28. Suppose 8 = 3*f - 5*j - 7, -f - 9 = 3*j. Suppose z - p*z = f. Solve -4*y + 8 = -z*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 42. Let q be v(22). Let o be (1 - -1)*9\/30. Which is the biggest value? (a) -0.5 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 140, 120, 82, 20?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c = -8, -x + 14 = x - 4*c. Let q(r) = -2*r**2. Let f(b) = -b**3 + 17*b**2 - 11. Let l(d) = -f(d) - 4*q(d). Calculate l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3402261 is divided by 81006.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.6. Let x = -4.69 - -5.69. What is the nearest to x in 1, g, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (369\/(-186) + 2)*(-7 + 9). Let c = -57\/155 - b. What is the closest to -1 in c, 2, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000461646 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 10*m - 18. Let y be l(14). Suppose 990 - y = 7*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.14365 * 944\nAnswer: 3911.6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -1)*0 - -162. Let h(f) = -6*f**2 + 184*f - 20. Let s be h(30). Let l = o - s. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 18*g**2 - 73*g - 2311. Let w(s) = -9*s**3 - 21*s**2 + 77*s + 2309. Let o(k) = 7*u(k) + 6*w(k). What is the first derivative of o(i) wrt i?\nAnswer: 27*i**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b - 1. Let j(p) = 3*p**2 + 5*p - 2. Let r(c) = 2*j(c) - 10*o(c). Differentiate r(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 6*c**2 + 3628*c + 32411. Calculate g(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (111\/15 - 5))*10. What is the tens digit of 13\/2*100\/(j\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*q - 20 = 0, 5*q + 4 = 5*i - 2*i. Let m(a) = 3*a - i*a + 5*a**2. Let w(b) be the second derivative of b**4\/12 + 36*b. Calculate m(w(v)).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - 11110?\nAnswer: -22101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-200)\/72*-3*(-9)\/(-5). Let j(l) = l. Let p be j(0). Suppose -242 = -45*d + 163. Solve 5*i + 5*a + y = 0, p = -3*i + 4*i + 3*a + d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 24 = 7*d. Let u be (-12)\/9*(-9)\/d. Let q(l) = l**u + 4*l**2 - 2*l**2 - l**2. Let s(b) = -2*b**2. Calculate q(s(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -143680287 and -143680288 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 473667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 + 17*s**3 + 7*s**3 + 8*s**3.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -791 + 770 = -7*j. Suppose 0 = -q + 6*q - 10. Let p(r) = -2*r**q + r**2 + 2*r**2 - 2*r - 2. Determine p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**5\/20 - 5*j**4\/12 + j**3\/6 - j**2\/2 - j + 2. Let s(w) be the first derivative of l(w). What is s(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/9)\/((-278)\/(-1251)))\/(18\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84888 by -9432.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 12100, 0.4, 2?\nAnswer: 12100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1823\/60 - 452\/15. What is the third biggest value in s, 61, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = v - 8*l - 46, -3*v = 4*l - 62. Let m = v + -40. Is (3 - 6135\/(-35)) + 4\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -345, -1092, -2541, -4926?\nAnswer: -8481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = 25. Sort -2\/3, m, -1\/11.\nAnswer: m, -2\/3, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 + -3.13. Let f = -7 - v. Let n = f + 6.2. What is the closest to -2\/7 in n, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (37 - 49) + 29 - (4 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4773*n = 3926*n - 748114 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -3.6837.\nAnswer: 1.6837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/13 (b) 1179 (c) -9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-78)\/(-2 - 0))\/1. Let u(v) = -v**3 + 13*v**2 - 5*v - 26. Let b be u(8). Suppose 5*q + g = b. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 292 - 220. Suppose j*b - 30242 - 298072 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*l + 2, 5*l + 5 = 10*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 13 + (-16 + 4 - -9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028826?\nAnswer: 2, 31, 43, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 11, 13, 27, 59, 115?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 1\/20*n**5 + 0*n + 1\/6*n**4 + 0 + 1\/4*n**3 - 1\/420*n**7 + 0*n**6 - 3*n**2. Find d, given that k(d) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1485)\/(-44)*(-112)\/(-280)*-4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 - r + 1. Let b(h) = -2*h + 1. Let p be b(-1). Suppose p*i - 4*z - 9 = 0, -4*i - i - 3*z = -15. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 663 - 660. Suppose q + 2*y + 0*y - 800 = 0, q + j*y = 801. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-40) + 9\/(-12). Sort z, -27, 2 in descending order.\nAnswer: 2, z, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Suppose 4*t + 4*u - 28 = d, -4*t - t + 3 = -3*u. Does 3 divide ((2 - t)*-5)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 490274917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 - -9)\/(0 + (-2 - -3)). Which is smaller: -2\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 4 - 4 + (-r + 2*r + 0*r)*(-3*r - r + 2*r) + (-5 + 3*r + 5)*(-2*r + 0*r + r)*(-1 + 2 + 2) + (-7*r + 3*r + 6*r)*(r + r + 0*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x - 2*x**5 + 3*x - 3 + 2*x**5 + 3 + (2*x**4 + 0*x**4 - x**4)*(x + 2*x - 4*x) + 2*x**5 + 4 - 4.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -104*s + 38. Let g be r(-3). What is the greatest common divisor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 12*b = -o + 348, 1740 = 5*o - 5*b. What is the greatest common divisor of 3712 and o?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - n**2 + 61*n - 61*n - 4*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/13 + 342*d\/13 + 340\/13 = 0. Calculate d.\nAnswer: -170, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69038623 to the nearest integer?\nAnswer: 8309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1311 or -1?\nAnswer: 1311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 5, l: 4, v: 7}. What is prob of picking 1 v and 3 p?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 502876 and 242.\nAnswer: 502876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362062 (base 8) in base 10?\nAnswer: 123954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 30. Let s(h) = -23*h - 81. Let r be s(-3). Let a = j + r. Which is bigger: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 36 = -2*f, -2*j + 27 = -6*j + f for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 11*b = -4*i + 5, 0 = -3*b + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -i, -2*c = 3*i + 2*i - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212, 0.065, 5, 1, 4.\nAnswer: -212, 0.065, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + 304 = -2*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4146, 4264, 4384, 4506, 4630?\n\"Answer: a**2 + 115*a + 4030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4362962872?\nAnswer: 2, 487, 1119857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 13*h + 10. What is the second smallest value in h, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*l*s**3 - 40*k**3*l*s**2 + 4*k**2*l*s + 2*k**2*l - 3*k*s**3 wrt k.\nAnswer: 12*l*s**3 - 240*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -439?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q + 3. Let w be t(-7). Let a = 53 + w. Let f be -2*1 + a\/(-13). Let h(m) = -m + 8. Let s(b) = 2. Give f*s(z) + 2*h(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**3 + 13*w**3 + 2*w - 4*w**3 to v*w + k*w**3 + j*w**2 + q and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - 0.42. Let u = -1.9 - -2. Let a = u - k. What is the second biggest value in -2, -2\/19, a?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129, 136, 143, 150, 157?\n\"Answer: 7*m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.74017 millimeters in nanometers?\nAnswer: 63740170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*w + 11*w**5 - 2*w**5 - 6*w**5 + 4*w**4 - 9*w**3 - 21*w**2 + 7*w**4 - 2*w**4.\nAnswer: 3*w*(w - 1)**2*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 78. Suppose -t - p = -3*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o - 332 = 3*k, -116 = k + o. Let h be k\/(-168) + 6\/(-14). Factor 5\/4*x**2 + 0 + 3\/4*x - 1\/4*x**4 + h*x**3.\nAnswer: -x*(x - 3)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-6))\/1)\/(-42*74\/(-372960)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -8\/3*s - 4\/9*s**3 + 30 + 2*s**2. Factor z(l).\nAnswer: -4*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19389 by -69.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79813, -159615, -239405, -319183, -398949?\nAnswer: -478703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**3 - k**2 + 1. Let i be l(1). Let f = 77 + -80. What is the tens digit of i*(f\/3 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of ((-15)\/(-1))\/(5\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (-3 + sqrt(720) + (sqrt(720)*-2 + sqrt(720) - sqrt(720)) + sqrt(720))) + 5)**2 - ((sqrt(5) + -3)*2 - sqrt(25)\/(sqrt(5) - sqrt(5)*3))**2.\nAnswer: 222*sqrt(5) + 2867\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 118952803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**3 + 6*t**2 - 2*t + 17. Let o(d) = 13*d**3 - 11*d**2 + 4*d - 34. What is -6*o(b) - 11*r(b)?\nAnswer: -b**3 - 2*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1765126 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 14?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 + 117. Suppose -y*w - 32 + 60 = 0. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25100517 and 8908.\nAnswer: 2227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-19)*(9 + -2 + -51 + 43).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84049 is divided by 74953?\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, a: 7, r: 2}. What is prob of sequence ra?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 871 - 446 = -24*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - a**2 + 2*a - 2. Let z be g(2). Find the third derivative of z*q**4 - q**4 + 0*q**4 - q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5415, -20, -2 in increasing order.\nAnswer: -5415, -20, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**3 - 3*d**3 - d**3)*(-5 + 3 + 5) + (-d**2 + 0 + 0)*(2*d + 3*d - 2*d)*(0 - 2 + 3) in the form k*d + u + r*d**3 + q*d**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7*f + 33. Calculate d(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from kkkyttqyytkwkyt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 17*s. Let d(w) = -3*w**3 - w**2 + 2*w. Let i be d(3). Let q = 91 + i. Let b be k(q). What is the greatest common factor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + -5.85. Let q = u + 9. Let i = -1.7 - -1.8. Which is the third smallest value? (a) q (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 23*h + 69. Is s(-28) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1)\/(-13 - -12) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 40, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9600\/1120)\/((-2)\/(-7)) is divided by 1\/((-1)\/(-8)) - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 8:08 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(10) - sqrt(90)*-1)\/((sqrt(72)*2 - sqrt(72)) + sqrt(2)) + -5)**2.\nAnswer: -40*sqrt(5)\/7 + 1256\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10332 divided by 3.\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-58)\/(-18) + 2 + 8\/(-36). Solve x*w - w = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0. Let m = -3 - -2.58. Let b = m - -0.22. Put b, q, 0 in descending order.\nAnswer: q, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -58*x**2 - 10*x - 9. Let g(w) = 174*w**2 + 30*w + 27. Let s(n) = 6*g(n) + 17*y(n). Is 3 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3348*d**4*g**2 + 630*d*g**2 - 2*g**2 wrt d?\nAnswer: 40176*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -68. Let x = 16 + -6. Let l be (22\/(-5))\/((-2)\/x). Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = -4*f, 17*f - 1 = 20*f - a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2277 - -47819\/21. Which is the biggest value? (a) 5 (b) -1\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.597 + -0.103. Which is the second smallest value? (a) -2 (b) t (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(4\/1))\/((-4)\/40)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1583*n**3 - 501*n**3 + 65*n**3.\nAnswer: -2019*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -117*n + 1059. Let i be p(9). Let y = -2 - -5. Suppose u - i = -y. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*g - 824 = -19882 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:43 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8294 divided by 638?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1226 divided by -4\nAnswer: 613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/19 > 260145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 6*m**2 - 5*m + 3. Let a be p(-5). Let q = -229.7 + 230.7. Sort 2\/17, q, -6, a in increasing order.\nAnswer: -6, 2\/17, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.503 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*t + 1994, 2*n = 3*n + 5. List the prime factors of (31\/62)\/(2\/t).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = -8. Let w(i) = -10*i**3 + i**2 + 5*i + 3. List the prime factors of w(c).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000469488 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/8*(20\/(-9))\/10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794808341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-20*g**2 + 74*g**2 - 180*g**2) + 0*g**2 + 2*g**2 + 4*g**2.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {z: 4, o: 9, d: 3}?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174454 and 6137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 110.2. Let g = s - -8. Let v = -0.2 + -2.8. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19700 divided by 140.\nAnswer: 985\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 1804.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 4*r**2 - 11*r - 34. Let z be t(-4). Let j(o) = -26*o + 8 - 8 - 1 + z*o. Suppose 4*n = 4*q + 6 + 18, -4*q - 2*n = -6. Calculate j(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.901554 + 2658\nAnswer: 2648.098446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/3925949 - 5697253\/2819675461035. Let f = 18251279558\/7900365 - i. Let u = f - 2307. Find the common denominator of u and -47\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32.1 and -32973914.\nAnswer: -32973946.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -34905605?\nAnswer: 34905601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10345996\/495 - 20901. Sort o, -2\/5, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + 1 + sqrt(3).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, f: 1}. Give prob of sequence fvz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -60*t**3 - 8*t. Let a(u) = 40*u**3 + 5*u. What is -8*a(v) - 5*h(v)?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20074820?\nAnswer: 2, 5, 1003741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a**3*d**2 + 19*a**3*d - 109*a**3 + 1 wrt d.\nAnswer: 34*a**3*d + 19*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15160885 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21119 and 2401?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -12. Sort j, -5, -2 in decreasing order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5409*a + 59067. Determine s(-11).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-983 - -969) + 7 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.287607 meters?\nAnswer: 0.006287607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 m when three letters picked without replacement from {k: 6, a: 2, m: 1, i: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(9) - sqrt(99)\/(sqrt(11)*-2))\/(sqrt(3) - (1*sqrt(3)*2 - sqrt(3)) - sqrt(3)).\nAnswer: -3*sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:18 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*k + 45, -12 = -3*k - 2*n + 18. Let z be (-2)\/((-2)\/3)*88\/k. Solve 5*h = -2 + z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7282 - 8*r - 6*r**2 - 7271 - 7282 + 21850. Determine c(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -113913 and -113909 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 + 1844 - 1829 + 1325)*(10*j - 2*j**2 - 5*j - 3*j).\nAnswer: -3276*j**2 + 3276*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/(2\/(-8)). Let m(k) = -k**3 - k**2 + k + 1. Let j be m(-2). Let c be j - 3 - (0 - h). Sort 0, -3, c in ascending order.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b - b**3 + 654*b**2 - 651*b**2 + b**3 + 5*b**3 to w + f*b**3 + c*b + h*b**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by -1.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + (-113620)\/(-828) - 2\/9.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 12. Suppose 3474 - 1359 + 1545 = 183*g. Calculate the least common multiple of t(0) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**6\/120 + u**5\/12 - u**4\/3 + 2*u**3\/3 - u**2\/2 + 2*u. Let b(f) be the first derivative of j(f). Factor b(z).\nAnswer: -(z - 2)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -9*g - 20. Let c(x) = x + 1. Let b be c(1). What is the units digit of 0 - (g + b)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1293 times -0.26\nAnswer: -336.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22*(-9)\/(2772\/56)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x**3 + 4*x**2 + x - 13. Let m(g) = -5*g**3 - 2*g**2 + 6. Let d(y) = -9*m(y) - 4*o(y). Determine d(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huug when four letters picked without replacement from phrgfuu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -710 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3.94 (b) -31 (c) 0.9 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqddqqdqdqqq. What is prob of sequence qdd?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2225, 2239, 2273, 2333, 2425, 2555, 2729, 2953?\n\"Answer: c**3 + 4*c**2 - 5*c + 2225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-203 + 194 - (-1 + -1) - -19).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/7, 139, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 3. Let w(i) = 4*i**2 - 4. Let c(m) = -4*o(m) + 3*w(m). Let q(p) = -3*p. What is c(q(t))?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Suppose 5*k - 38 = 5*n - 3*n, 0 = -3*k + 6. Let p = 14 + n. Suppose p*q = -q + 34. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, v: 2}. What is prob of picking 2 v and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28885 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133351 (base 8) to base 14.\nAnswer: -130c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121012 (base 3) to base 6.\nAnswer: -12435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 + (-8 + -3 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8118, 8081, 8044, 8007, 7970, 7933?\nAnswer: 7896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.2313338 rounded to two dps?\nAnswer: -69.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 15. Let h(a) = a + 1. Let w(d) = -c(d) - 5*h(d). Let y be w(8). Find the third derivative of t**2 - 2*t**5 - y*t**4 + 2*t**4 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 333866582, 333866586, 333866590, 333866594, 333866598, 333866602?\n\"Answer: 4*h + 333866578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 5. Suppose -4*y = 5*o - 28, -3*y - 2 = 2*o - 4*o. Let h = y - -3. What is the biggest value in h, d, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of 4\/3*y**3 + 0 - 1\/3*y**4 + 0*y**2 + 8*y. Find the second derivative of s(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/13 + 6*g = 0 for g.\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 221*l**2 - 214*l + 4879. What is b(73)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -31) + 4 + -9 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31032*v - 31032*v - 3*v**2 + 10*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 190750567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, -5, 358, -1\/2?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 6*t**3 + 0*t**3 + 179*t + 10*t.\nAnswer: 6*t**3 + 3*t**2 + 189*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 13*m + 8. Calculate b(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (149\/(-6705))\/((-2)\/(-12))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-5)\/1)*(-68)\/(-3978)*-3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.283064 + -0.06.\nAnswer: 1.223064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-5)\/(-2)*-1. Let q(z) = -3*z**3 - 10*z**2 - 2*z + 4. Let h(i) = 2*i**3 + 5*i**2 + i - 1. Let k(t) = 5*h(t) + 3*q(t). Determine k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g - 22. Let d be z(7). Let r be 21\/9 - 2\/6. Is (d\/r)\/((-21)\/420) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.940412949895 + -46687562.059585050105. Let h = 46687660 + y. Let k = h - 43. Round k to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 55*f**3 + 4*f**2 + f - 2. Let d be z(-2). Calculate the common denominator of 89\/10 and ((-1)\/(-8))\/((-5)\/d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -206506?\nAnswer: 206505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 31566?\nAnswer: -31568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409768 is divided by 23956.\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 1\/3*o**2 + 7\/18*o**3 + 11*o + 0 + 1\/12*o**4. Solve u(m) = 0 for m.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/9))**(-24)\/(j*j**(12\/11)*j**(-1\/25)) assuming j is positive.\nAnswer: j**(7108\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/2 and (17\/12)\/(15\/(-20))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387751789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:50 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 104014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 2438?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 17 = 8. Let y(g) = g**2 + g - 5. Let u be y(-6). Let f be -2*(u\/2)\/k. Solve t + 0 = -w - 1, 3*w + f*t = 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-15))\/1)\/(54\/30)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09506623454 minus 5686?\nAnswer: -5686.09506623454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b**4 + 0*b**2 + 7\/5*b**5 + 0*b - 2\/3*b**3 + 39. Find the third derivative of q(u) wrt u.\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -263?\nAnswer: 26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b**2 - 71*b - 30. Give z(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4 + (-1 - 0 - (20 + -26)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, j: 2, v: 2, h: 2, u: 4}. Give prob of picking 2 v and 2 x.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/20 - 7*w**4\/6 + 13*w**3\/6 + w**2 - 37*w + 2. Let h be t(13). Which is the nearest to 0? (a) 9 (b) 3\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 47*k**3 - 9*k**2 + 5*k - 5. Let c(h) = -23*h**3 + 4*h**2 - 2*h + 2. Calculate 5*c(m) + 2*l(m).\nAnswer: -21*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 963062 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2876\/531 + 141\/118. What is the common denominator of h and (-21)\/7 - (-118)\/(-24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 87. Let z(f) = 2*f - 90. Calculate -4*b(a) - 5*z(a).\nAnswer: 2*a + 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*y + 1 = i, -4*y = -4. Let k be (i - (-4 + 7))\/6. What is the closest to 0 in -0.2, k, 19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356) + 2*sqrt(4356)*1 + sqrt(4356))\/(sqrt(12) + (-2*sqrt(588) - sqrt(588)) + (sqrt(144)*1 + sqrt(144))\/sqrt(12)).\nAnswer: -22*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -779.66 rounded to 0 decimal places?\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 13, -75, -239, -503, -891, -1427?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1030 at most as big as -1029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*n - 184 - 170 = -395*n + 344 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24 - -14)*719\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 3. Let c(v) = -3*v + 9. Let f be ((935\/10)\/(-11))\/((-1)\/(-2)). Give f*b(d) + 6*c(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -308*w**2 - 72*w**2 + 230*w**2 to the form b*w**2 + d + o*w and give b.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(192)*2)\/((sqrt(84)\/sqrt(2))\/sqrt(7)))\/(sqrt(24)\/sqrt(150) - (-5*(sqrt(4) - sqrt(8)\/sqrt(2)) + sqrt(4))).\nAnswer: -5*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1431 + -10014\/7. What is the second biggest value in 2, p, -19\/6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + (-30950)\/15)\/(304\/51 + -6).\nAnswer: 7, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 71. Let h(o) = -40*o**2 + y*o**2 - 19 + 18*o**2 - o**3 + 22*o. Does 13 divide h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -39*x**2 - 2059*x + 244. Give l(-53).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 a factor of 371327136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) 8 (c) -14\/3741 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -405\/4. What is the smallest value in -0.9, 2\/11, z, 3\/5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 3518574*b**2 - 14074272*b + 14074264.\nAnswer: -2*(b - 1759283)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or 0.195?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2109933\/(-126))\/313*-2.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24078 + 24067.149. Let g = l - 0.049. Let y = g - -10.939. Round y to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-7))\/((-46)\/(-92)). Which is the third smallest value? (a) -1\/14 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 159879*m + 159881*m + 116, -24 - 1 = -5*m for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -141713 take away -995?\nAnswer: -140718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-336 + 698 + 645)*(0*m**2 - m**2 + 3*m**2) + (-6*m + 2*m + 3*m)*(m + m - m))*(4*m + 0 - 2*m + 3).\nAnswer: 4026*m**3 + 6039*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 19.95. Let d be (24\/24)\/(49\/21). Which is the biggest value? (a) h (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.026153 - -0.046812\nAnswer: 0.072965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 383496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -6, -8, -78, 2 in decreasing order.\nAnswer: 2, 0, -5, -6, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2621 = -13*f + 2504 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/48 + p**2\/2 - 2*p. Determine m, given that g(m) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77331566 by -1.\nAnswer: 77331566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -9.5. Let b = 6.2 - d. What is b rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/20 - 11*c**4\/12 - 5*c**3\/3 + 12*c**2 - 16*c + 118. What is u(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519510816 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 2*f + 1 - 3 + 1. Let o(m) = -16*m + 4. Let j(c) = -11*d(c) - 2*o(c). Let u(a) = -2*a + 7. Let n(q) = -5*j(q) + 3*u(q). Calculate n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -0.5, -2309957, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -13*m + 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 166968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/102)\/9)\/(7\/(-42)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.5. What is the closest to 2 in -1\/7, t, -0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 35, 21, -11, -67, -153?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.955774.\nAnswer: -3.823096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -24. What is the nearest to -2\/3 in -8, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*j**2 - 76*j**2 - 21 + 522*j**6 + 34*j**2 wrt j?\nAnswer: 62640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from uvuqquufuququvuvhuuv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51 and -3?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33694\/19 - 1774. Let m = r + 55\/57. Which is the nearest to 7? (a) 2 (b) 1\/10 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*z - 4. Let a be ((-11)\/z)\/(5\/165). Suppose 2*i - 3*x + 44 - a = 0, x + 5 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -19, -39, -79, -145?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 1 + 2*c**2 - 5 + (-274 + 22*c + 274)*(-2 + 5*c + 2) + 0*c**2 - 2*c**2 + 4*c**2 to v*c**2 + p*c + f and give v.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9161449 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**7\/21 + 19*v**4\/2 + 11*v**3\/6 - 41*v**2 - 165*v. Find the second derivative of f(k) wrt k.\nAnswer: 40*k**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50307734 to the power of 1\/2, to the nearest integer?\nAnswer: 7093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 440.7913594 to one dp.\nAnswer: 440.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 417 and 576333337.\nAnswer: 576333754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 1433?\nAnswer: 2436.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1231295251.6839 and 0.06.\nAnswer: -1231295251.6239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/39 and (4\/((-144)\/42))\/(3\/20)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - q + 4. Let b(y) = y**2 - 11*y + 12. Let k be b(10). Let i(v) = -v**3 - 5*v**2 + 3*v - 9. What is k*i(f) + 5*s(f)?\nAnswer: -2*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3044*u = -3354*u - 3720 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1\/(-12)*-4. Let d = r + 3. Solve -d*x + 8 = -2*h, -3*x + 4*h = 3*h - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Let n = s + 0.1. Suppose 0 = u - 0*u - 1. Which is the nearest to u? (a) 5 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20262 + -18231. Calculate the smallest common multiple of k and 11.\nAnswer: 22341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26178 + -26178.011169. What is l rounded to 4 decimal places?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 950382486 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 33. Let d = -28 - -19. Let q be b(d). Solve 0 = -3*k + q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 j when four letters picked without replacement from {z: 6, j: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110 - 1011001?\nAnswer: -110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1206 divided by 448\nAnswer: -603\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2426455090 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7795100 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 12*q**2 - 2*q + 26. Let h be m(12). Suppose h*p - 8 = -0. Suppose 0 = i + p*z - 100, -2*i + z = -0*i - 155. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946*z - 288 = -949*z. What is the greatest common factor of z and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 4) to base 12\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*i + 33*i - 20*i)*(1 + 2 - 4) + i + 0*i + i.\nAnswer: 56*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 56 = 0. Let i = g - -39. What is the greatest common divisor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (387\/78 - 5)\/((-19)\/(-76)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 - 12 = 4*c, -6 = -3*c. Let k(g) = -g**2 + 11*g - 9. Let m be k(t). Suppose -5*w + 40 + m = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 + 19263*a**2 - 38529792*a + 22651453440.\nAnswer: -3*(a - 2688)**2*(a - 1045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 - 3.4. Which is the smallest value? (a) -1 (b) 1\/9 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 8. Let f be l(-16). Calculate the highest common factor of 64 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500 (base 10) to base 7\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t. Let g(h) = 77*h**2 + 12*h**2 + 528*h + 532*h - 1579*h + 518*h. What is g(k(j))?\nAnswer: 5696*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4125.0003326 + -4125. What is i rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 199 = 2*q + 7, 0 = 4*q + 4*f - 336. Calculate the remainder when q is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2527472 and 1808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 91*q**3\/2 - 32*q**2 + 17*q. Is v(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 911 + 665 - 393 = -7*w. What is the second smallest value in -0.1, w, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741555 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:27 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1555 - -802. What are the prime factors of a?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2070\/920*(-1 + 15\/(-9)). What is the closest to c in -2\/13, -10, 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 6)\/(-14)*(2 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 3*w - 1. Let m be u(-2). Let r = 0.01 + -1.41. Let j = r - -1.3. Which is the closest to m? (a) -2 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 649615345, 649615346, 649615347, 649615348, 649615349, 649615350?\n\"Answer: k + 649615344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -2640.\nAnswer: -2640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3820*l**4*o - 790*l**4 + l**3 - 41477*l**2*o - 2*l*o - 6 wrt l.\nAnswer: 91680*l*o - 18960*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 369 - 367. Suppose 5 = q*i - c, -4*c - 5 = i - 3. Solve 2*r = -4*g + 3*r - 13, -5*r = -i*g - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, a: 4}. Give prob of sequence apap.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-26961)\/418.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 11*i + 11*i + 504 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 13*r = -34. Is -18 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(11))**2 - (sqrt(77)\/sqrt(7) + -4)**2.\nAnswer: 8*sqrt(11) + 2789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 77*z + 55. Solve -1 = -z*o - 10*p + 6*p, 4*p = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 6*x + 50 = 0, 1080*x - 1084*x = -4*v - 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*w + 63*w + 532 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4570240 to the nearest integer?\nAnswer: 2138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -2\/7 (c) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 46 = -5*h - 7, 4*d + h = 69. Suppose 7*j + d = -10. Which is the third smallest value? (a) -3 (b) -1\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4378, 4428, 4456, 4456, 4422, 4348, 4228, 4056?\n\"Answer: -m**3 - 5*m**2 + 72*m + 4312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, 2\/11, -1479, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-12)\/(-90))\/((-1)\/(-2))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -1\/3*u**4 - 38*u - 1\/10*u**5 - 1\/42*u**7 + 0*u**2 + 1\/2*u**3 + 0 + 2\/15*u**6. Factor q(y).\nAnswer: -y*(y - 3)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 10. Which is bigger: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 56250*f**2 - 29*f - 232. Let t = 428 - 436. Let w be o(t). Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380380 and 152893.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:48 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 215.98 + -219. Let t = o + 4.2. Round t to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1263\/11 + 2203\/44. Let f = r - -62. Find the common denominator of f and 0 - (-1)\/20*82.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:27 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 - 15*u**4 + 117*u**3 - 189*u**2.\nAnswer: -u**2*(u - 3)**2*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 + 43438090*l + 94343383142405 = 0. Calculate l.\nAnswer: -4343809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15810468 divided by 3?\nAnswer: -5270156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 5*b - 0. Calculate the greatest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -1463\/183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10107409?\nAnswer: 13, 199, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 15, -2*r = -i + 52 + 63. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 894661\/396 - 24808\/11. What is the common denominator of t and -41\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1001001001110111?\nAnswer: -1001001001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.02 (b) -0.06 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(18\/(-48) - (-159)\/264). Calculate the highest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b**9))**(15\/7)*(b**(-21)\/b*b)\/(b**(-6\/7)\/b) assuming b is positive.\nAnswer: b**(-269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) + 0)*6)**2 - -5*(sqrt(114)\/(sqrt(36)\/sqrt(6)))**2) + 5)*2.\nAnswer: 5672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 3*t - 1. Suppose -3*h + 12 = r, 2*h + 3*h - 3*r = 20. Suppose 0 = -5*s - 19 + h. What is b(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (104\/(-39))\/(4\/(-6)). Suppose s*t = -12 + 8. Let r = 7 + t. Solve -4*j + 2 = 2*u, -r = -5*u - j - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/1*3\/(-3))\/(-1). Let q be 14\/5*(11 - (-171)\/(-76)). Determine w, given that -q*w**t + 33\/2*w + 9\/2 + 7\/2*w**2 = 0.\nAnswer: -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-5)\/((-60)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -0.1500006. What is w rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.51545t in grams?\nAnswer: 79515450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73\/20 + 17\/4. Is n > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -13753.439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-15)*(-7 - (-87)\/6). Let c(p) be the second derivative of 3\/4*p**5 + 0 - 40*p + 8\/3*p**4 - 3\/10*p**6 + 0*p**2 + i*p**3. Factor c(o).\nAnswer: -o*(o - 3)*(3*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 304137*a**2*o**3 - a**2*o**2 - 2*a**2*o - 4*a**2 - 66*o**2 + o wrt o?\nAnswer: 1824822*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w**2 + w + 5. Let v be p(0). Suppose -2*d - 3307 = -3*a - 694, -v*d = -a + 871. Suppose s + 3*m = -3*s + a, -5*m + 1090 = 5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8887\nAnswer: -5\/8887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 109. Let t = -9 + 14. Let k(l) = -4*l**3 + 5*l - 7. Let w(i) = 5*i**3 - 6*i + 8. What is b*k(u) + t*w(u)?\nAnswer: u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149999 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*t)*(-1 - 2 + 4)*(-2*t**4 + 0*t**4 + 0*t**4) - 55 + 55 + 42*t**5.\nAnswer: 50*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/248 and -49\/26648?\nAnswer: 826088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 1:15 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m. Let z(r) = 4*r**2 + r - 628. Determine z(c(i)).\nAnswer: 196*i**2 - 7*i - 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -220?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-12 - 4)\/(2*(-3 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 12495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4247 + -2799.5753. Which is the nearest to g? (a) 3 (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v. Let u(z) = 850*z. Let c(q) = 11*q. Let l(k) = -85*c(k) + u(k). Calculate l(i(a)).\nAnswer: 340*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-6) + 1 + (3 - 5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694\/1041*252\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0057601698 to 5 dps.\nAnswer: -0.00576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 3*t + 8. Give i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + -5. Let d(z) = z + 5. Let t be d(h). Let n(k) = 2*k**2 - 2*k - 5. Is n(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15962.06g in milligrams?\nAnswer: 15962060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*b**4*o**2 + 1274*b**2*o**2 - 143681*o**2 with respect to b.\nAnswer: -48*b**3*o**2 + 2548*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 31*f - 28*f**2 + 60*f**2 - 31*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 n when four letters picked without replacement from tntnktkttkttk.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 18, c: 2}. Give prob of sequence ck.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432\/36 - (-4)\/18 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 960372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**(-14)\/((q**(-6)\/q)\/(q*q*q\/(q*q**5*q))) assuming q is positive.\nAnswer: q**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(77\/66) + -21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.11 + 39. Let d = 0.11000224 + v. Round d to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 8:58 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkjkkjkjkkukjjk. Give prob of sequence jjk.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 35*u**2 + 209*u + 46. Determine d(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -71.778282.\nAnswer: -71.378282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a5 + 1dc?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6654463.\nAnswer: 17, 197, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 + 40 - 21)*(-q - q - q)*(0 + 2*q + 0)*(1 - 2 - 1) to the form b + y*q + i*q**2 and give i.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -96. Let x be -9*(1 - (-123)\/d). What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + (-3)\/(-2). Suppose 59 = 4*p - b. Let k = 43 - 15. Calculate the remainder when k is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -13 + 13*w - 229*w - 10*w + 50. Let r be y(-9). Suppose a = -0*a - o + 2074, 0 = -a - 2*o + r. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 39960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 - b + 3. Let q(z) = 3*z**2 + z - 2. Let n(s) = -4*m(s) - 5*q(s). Let j be n(-2). What is the units digit of (6 - j)*(10\/(-4))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:22 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3025)*2 - sqrt(3025))\/(-1*sqrt(405)).\nAnswer: -11*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 5*n + 14 - 26.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/7 - 24*m**3\/7 + 1458*m**2\/7 - 760*m = 0.\nAnswer: -35, 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*z**2 - 33*z**2 + 2 + 5 - 3 with respect to z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose -3*k - 4*k - 28 = t. Let s(m) = -m - 4. Calculate s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -15. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2082486 and 11453673.\nAnswer: 22907346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 33544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 8\/5 (b) 31 (c) 1\/5 (d) 1.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245090070 and 416653119?\nAnswer: 4166531190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15441 or 15442?\nAnswer: 15441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**2 + 67*q**2 - 10792*q + 11001*q wrt q.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/39377 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let o = -4724\/7 + 671. Let l = 4 + o. What is the smallest value in s, 5, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4253988, -8507977, -12761966, -17015955, -21269944?\nAnswer: -25523933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1002210100 (base 3) to base 16\nAnswer: 54d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 1. Let k(t) = -6*t**3 + 6*t**2 + 3. Let l(c) = -k(c) - 6*r(c). What is the derivative of l(g) wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047*d = -313*d - 44880 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8 - 167*x - 9.\nAnswer: -167*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9829234 tonnes?\nAnswer: 982923.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/3 - 1557346*b\/3 + 6229400\/3 = 0.\nAnswer: -1557350, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -389, -626, -883, -1166, -1481?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 23, 0, 96, 2, 5, -39 in increasing order.\nAnswer: -39, 0, 2, 5, 14, 23, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 668 and 31897.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/((-28)\/(-16)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2466.5 + 2468. Which is the third biggest value? (a) 4 (b) v (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t**3 - 1367*t**2 + 4036*t - 372 = 0. What is t?\nAnswer: 2\/21, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.968 + -4.968. Let h = -5 + 4.6. What is the biggest value in f, -1\/6, 3\/4, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n - 401. Determine g(-39).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 706 = 5*i - 288, -i - 2 = 0. Let q = a + 238. What is the remainder when q is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 2*t**3\/3 + t**2. What is the tens digit of p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t + 3. Let l be w(0). Let y be 1\/(-9 - 190\/(-20)). Solve k + 2 = l*m, -5*k + y*k - 6 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 9*r - 4*r - 15, -j + 2*r = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let m(y) = 17*y**3 + 18*y**3 - 6*y**3 + 6*y**3 + y**p. Is 18 a factor of m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3582, -14428, -32536, -57906, -90538?\nAnswer: -130432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90741263 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s - f + 15, 5*s + 2*f = 20. Let u be -1 - s*21\/(-18). Factor 2\/3*d**3 + 0*d - u*d**2 + 0 + 2\/3*d**4.\nAnswer: 2*d**2*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461 + 463. Calculate the smallest common multiple of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6110000 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -7 - (622 - 561)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(748\/(-880))*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1119183695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01210784 - 1.98789656. Let b = -6.1 - -4.1. Let m = d - b. What is m rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -7 - 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -100110001110110011100001?\nAnswer: 100110001110110011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 3, 2\/19, -12?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q + 3*u - 18 = 0, -4*q = -2*u - 6. Suppose 0 = q*l - l - 16. Let z(r) = -r**2 - 29*r - 184. What is the lowest common multiple of l and z(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241 - -785. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-49)\/(z**(4\/7)\/(z*z**9)) assuming z is positive.\nAnswer: z**(541\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37873037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (14 - 29) + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 9*g = 38. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11142*c**2 - 50*c - 1457659 wrt c?\nAnswer: -22284*c - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((4\/27)\/2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823892 to the power of 1\/2, to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1415, -2831, -4247, -5663?\nAnswer: -7079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (sqrt(13) - sqrt(208)) + sqrt(13) + (sqrt(1573) + 1)**2 - ((4*sqrt(13)*-4)**2 + sqrt(91)\/(-4*sqrt(7))).\nAnswer: -1757 + 81*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 32. Let p(h) = -3*h**2. What is t(p(m))?\nAnswer: 18*m**4 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.76 (b) -2\/5 (c) 0.38 (d) -3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 0.1311?\nAnswer: 0.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 602221?\nAnswer: 602225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiinni. Give prob of picking 2 i.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 3, s: 2, t: 2}. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011111111 + -10?\nAnswer: -11100100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.9 + -7.9. Let g = q + -64.2. What is g rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 646769*r**2 + r + 896156?\nAnswer: 1293538*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*-2)\/sqrt(11).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30239641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.4, -1, 0.038, 0.5, 0.2?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 985867.6 weeks in seconds?\nAnswer: 596252724480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-24 - (-96 - -44)) - (-1 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*b**4 + 2*b**2*f**3 + 3*b**2*f**2 + 26*b*f**3 + 4*b*f + f**3 wrt b?\nAnswer: 804*b**2 + 4*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -176 (base 10) to base 3\nAnswer: -20112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88\/45 + 1477\/180. Let c(b) be the second derivative of 0 - 34*b - 7\/4*b**5 - 10*b**2 - 65\/6*b**3 - o*b**4 - 1\/6*b**6. Factor c(f).\nAnswer: -5*(f + 1)**3*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, -4, -2, 63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.65394 months in centuries?\nAnswer: 0.07304495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 1}. Give prob of picking 1 p and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2320, -22673, -77922, -185515, -362900, -627525, -996838, -1488287?\n\"Answer: -2908*t**3 + 3*t + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 82698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 2. Let k = 1.385 - z. Round k to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 + 4*w - 5. Let p(g) = -4*g + g - 3*g**2 - 2*g**2 + 158 - 154. Let n = 9 - 6. Determine n*t(j) + 4*p(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -183571524.\nAnswer: 734286096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 2, i: 1, v: 1, n: 9, e: 3}. Give prob of sequence jvyy.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.021, -2, -3\/2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10837*g - 4971*g - 569002 = 0 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -548.\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -90b (base 12) to base 10\nAnswer: -1307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -42752?\nAnswer: -42747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1, -5\/4, 3\/4858, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16711 is divided by 274.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*t - 4*t + 22*t)*(2 - 13 + 12) - t + 0 + 0 + 0*t + 5*t - 3*t)*(-1 + 4 - 2) to a + i*t and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229036077.\nAnswer: 29, 2473, 31081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -83\/936 (b) 0.14 (c) 2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*j + 7 = -4*y, -5*y = -2*j - 7. What is the units digit of (y\/3 - -1) + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 293678955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 2*s - 3*s)*(-s**4 - 2 + 2 - 3*s**4 - 3*s**4 + 4*s**4 + (0*s**3 - s**3 + 2*s**3)*(2*s - 2*s + s)).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 6:09 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*g**3 + 690*g**3 - 1267*g**3 + 541*g**3.\nAnswer: 589*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 17. Let h be (13 + 1)*1\/(-2). Let m(v) = 3*v + 17. Let j(q) = h*b(q) + 6*m(q). What is the tens digit of j(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -13471972 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**3 + 3*a**2 + 2*a - 3. Let h(c) = 4*c**3 - 2*c**2 - c + 2. What is -3*h(s) - 2*r(s)?\nAnswer: -6*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (78\/4)\/(-3)*(1293 - 1287)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxfif. Give prob of sequence xiih.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -573670877*b**3 - 287*b**2 - 788027*b.\nAnswer: -3442025262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -379 - -378.8. Sort 0.08, h, -2 in increasing order.\nAnswer: -2, h, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42252\/11 + -633692\/165. What is the common denominator of r and (-71)\/(-9) + (-2)\/(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -5404\/1515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1900) + 0 - sqrt(1900)) + 0) + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000142235 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6196\/3 - -2066. Determine j so that d*j**2 - 1\/3*j**3 + 0 + 0*j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14100 divided by 3525?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475.5 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/11 - 18877*b\/11 - 37758\/11 = 0.\nAnswer: -2, 18879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -2*v + 8, 0 = 5*v - 20. Let r be 9\/(2\/(b - 2)). Let m = r - -18. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10732 and 420195362?\nAnswer: 5366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 - 1) + (53 - 170 - -33)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22208 + 17661.5. Round i to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**3\/3 - 7*d**2 - 27*d - 2. Is 3 a factor of k(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 781.9468 - 782. Round h to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 c when four letters picked without replacement from icicpcpppplicfcfpp?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 0.67.\nAnswer: -7.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 570240.\nAnswer: 570240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -5\/154, -4\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 60689 = o, 5*o + c - 390106 + 86661 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5663 is divided by 298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36705121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002082328 to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 951*z**2 + 7*z + 32. Suppose -40*o = -45*o - 45. Let v be m(o). What is v rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Suppose -3*p + 0*i + 4*i = -7, -4*p - 5*i = -30. Let m(d) = 140 - 139 - d**2 - p*d**2. Give m(o(t)).\nAnswer: -6*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*h - 72 = 0, 2*h = 5*t - 4*t + 29. Let r = -61\/3 - t. Find s such that 0*s**2 + 0 + r*s**3 - 2\/3*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 h when four letters picked without replacement from hssssssssshs?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l - 19*l**4 - 149 - 13*l**4 - 3*l**2 - 229 - 2*l wrt l.\nAnswer: -128*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 15*d - 10. Let w be k(-6). Let b = w - -102. Suppose 13 - 13 = b*j. Solve j = 3*i + 14 + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -6\/5, -5, 0.3 in increasing order.\nAnswer: -5, -6\/5, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*10\/15*-324\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/24)\/(9\/8358). Let c = 1396 - z. Factor -r**2 + 8\/3*r + 1\/3*r**4 - 4\/3 - 2\/3*r**c.\nAnswer: (r - 2)*(r - 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 1. Let g(w) = w - 8 - 4*w - 4*w + 3*w. Determine -g(n) + 5*k(n).\nAnswer: -n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 1*39\/3. Let g = -0.8 - -1. Which is the second smallest value? (a) o (b) g (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from axxjwazjsajwwaz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**2. Let h(w) = 36*w**2 - 192. Let z(y) = -y**2 + 6. Let s(k) = 3*h(k) + 96*z(k). Calculate -3*i(a) - 2*s(a).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 - d + 2. Let b(a) = -a**2 - 33*a - 65. Let i be b(-31). Let u be 3*i - (2 + -3). Give p(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -0.4, 0.8 in increasing order.\nAnswer: -0.4, 0.8, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4643.2 - 4643. Sort 1\/284, k, 4 in descending order.\nAnswer: 4, k, 1\/284","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 2153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -50*v + 397. Let m be p(8). Does m = -92\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39740 = 7*a - 4*a - 7*l, -4*a + 52976 = -4*l. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-836)\/(440\/(-20)) + -35.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/4 - 25*u - 2475\/4 = 0?\nAnswer: -55, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - g = -13, 2*p + 30*g + 101 = 235 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 2*l. Let n be i(2). Let z(r) = -r + 7. Let v be z(n). Which is the second biggest value? (a) v (b) 13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**3 + f**2 - 7*f. Let v(n) = 19*n**3 - 2*n**2 + 13*n. Let u(l) = 11*b(l) + 6*v(l). Let s = 9 + -7. Let w be 2*(2 - 3\/s). Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 327*c*o**3 + 3*o**3 + 11 wrt c.\nAnswer: 327*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1814, 0.1581, -114?\nAnswer: 0.1581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {d: 3, h: 4, a: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/840 - (-1)\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 + 5*t - 1. Suppose -n - 3*a + 1 = -4*a, 0 = n - 3*a - 1. Let r be y(n). Solve -1 + r = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 4*(2 + sqrt(931))**2*-2 + 5.\nAnswer: -7477 - 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 7*q - 2. Suppose -3*l - 4*s = 1, 4*l + 3*s = 2*s + 3. Let t(v) = -4*v - v - v + l + v. Give t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2432645 + 56836922\nAnswer: 59269567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*r**4 - 2*r**3 - 3*r**2 + 67 wrt r?\nAnswer: -2736*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i**2. Let q(v) = -4*v**2 - 6. Let z(t) = 0*t**2 - 6*t**2 - 3*t**2 + 4 + 4*t**2 - 8. Let b(r) = -2*q(r) + 3*z(r). Calculate b(c(f)).\nAnswer: -6300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 - 92\/(-20). Let u be m\/(-7)*(3 + -11 + 1). What is the third derivative of 3 + 43*v**4 + 1 - 17*v**2 - u wrt v?\nAnswer: 1032*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -544170 divided by 5610\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from utqjjqjuuqtqqqqqqqqq.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:27 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/21)\/((-2)\/(-7)). Suppose 0 = 3*f, 8*c = h*c - f + 152. Let w = c - 26. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 54. Let r(k) be the third derivative of 0 + 0*k**4 - 1\/6*k**3 + 3*k**2 + 0*k - 1\/20*k**y. Find the first derivative of r(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcvwjjjcj. Give prob of sequence wjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 2)*(-38 - 9*y + 38)*((3*y + y - 3*y)*(-4*y + 2*y + 4*y) + 2*y**2 + 0*y**2 + 0*y**2) to the form n*y**2 + i + r*y + u*y**3 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2034780 divided by -203478\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 14) to base 5.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 14, 50, 124, 248, 434, 694, 1040?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/18 + 2\/(-4). What is the second derivative of 5*b**m + 2*b + 0*b**5 + 3*b wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.1886?\nAnswer: -0.2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/131200 and -173\/103320.\nAnswer: 8265600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 25*l**2 - 3*l + 3. Let a(s) be the second derivative of 101*s**4\/12 - 11*s**3\/6 + 11*s**2\/2 + 2829*s. What is 6*a(i) - 22*x(i)?\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m\/(m*m*m**(1\/6))*m))**42*m**(2\/15)\/(m\/(m**(-6\/7)\/m)))**(2\/67) assuming m is positive.\nAnswer: m**(27358\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 105*i**2 + 308*i + 2410. Is c(-8) a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaaczaak. Give prob of picking 1 a and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 0 + -6 - 5) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117262, -117350, -117438, -117526?\n\"Answer: -88*q - 117174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -23) + -103 + 99?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:16 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2\/5 (c) 6 (d) 891\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*y = 151*y + 10632 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1096, -2191, -3286, -4381, -5476, -6571?\nAnswer: -7666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -4, -2\/9, 3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195552, -195556, -195564, -195576, -195592?\nAnswer: -195612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 19*l + 108. What is q(-16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 3*m - 2*l - 156, l - 3 = 0. What is the highest common factor of 94 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604444*z - 656401*z + 51961*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2 - -3) - -2)*-626. Let t = x - 618. Calculate the highest common factor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 5*d - 3*d)*(1 + 0 - 2) to m*d + c and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*z = 0. Let n be 1\/((-39)\/(-9) - 4). Let l = z + n. Solve 2*c - l = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*z**2 + 68*z**2 + 26*z**2 + (3 - 3 + z)*(-z - 2*z + 4*z + 4*z - z - z + (6 - 3 - 4)*(-7*z + 2*z + 3*z) + 1 - 1 + z).\nAnswer: 67*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a*a**(-2)))\/a)\/a)**(-7\/3)*(((a\/a**(-1)*a)\/a)\/a)**(-1\/7))**(-5\/8) assuming a is positive.\nAnswer: a**(-115\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 5818.\nAnswer: -5817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4 = -4*b + 136, 7*b = 3*l + 205 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 15203?\nAnswer: 15204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.37 + -0.07. Let y be (-16)\/24*(-6)\/16. Sort y, s, -4\/5 in ascending order.\nAnswer: -4\/5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97 - -356. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*b + 6, -3*w + w + 5*b = 19. Suppose 5*z + 2*f = -2*f - 12, w*f = 5*z - 9. Suppose 2*n - 12 - 38 = -4*l, 3*n + 3*l - 75 = z. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/30*42*(-52)\/208.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 3*t - t**2 - 4*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3219, 6451, 9683, 12915, 16147, 19379?\n\"Answer: 3232*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19298807*c**2 - 19*c + 389244273.\nAnswer: -38597614*c - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87, 85, 81, 75, 67, 57, 45?\n\"Answer: -v**2 + v + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-55 - (3 - 30 - -26))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45400 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3736 + 3736.4. What is the closest to 2 in r, -2, -35, -1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 8*o**3 + 2*o**3 - 2*o**3 - 13*o**3.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-40) + 125454\/(-10). Let l be 18\/24 + (q\/(-8) - -1). What is l rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71\/4 of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 733476603 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 2. Let s(z) = z**3 + z**2 + 4. Let v be s(0). Suppose 3*t + 5*r = -8, -5*r + 0*r - v = -t. Let h be c(t). Is h greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86805 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 3. Let z be y(-7). Suppose 2*p = -p - z*g - 25, g = -4. Let t be (5\/(-6))\/(3 - (-22)\/(-8)). Is t >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25315?\nAnswer: 5, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-6) - (-1043 + 7). Let p = -196 + g. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 - 0 - (-598 + 599)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 195 + 180. What is the greatest common divisor of 50 and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10.5 or -1\/4?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4814.\nAnswer: 3\/4814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12854482 divided by 756146.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/3*8\/(128\/(-5988))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*q**3 - 3*q**2 - 133.\nAnswer: -36*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 2:20 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**5\/100 - 7*s**4\/40 - 9*s**3\/5 - 21*s**2\/2 - 19. Let i(m) be the second derivative of y(m). Let i(j) = 0. What is j?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from katmttdkat. What is prob of picking 1 a and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-162)\/10 + (-2)\/(-10). Let p be (12\/d)\/(1\/(-8)). Suppose -4*m + p = -2*m. 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 y = 160623\/4 - 21362969\/532. Find the common denominator of y and -61\/35.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6*d - 3. What is the units digit of b(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 + 0.68. Suppose -77*z = -72*z + 10. What is the biggest value in -3, -4\/3, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5579\/42*45*(0 - -4). Round t to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 33*y - 10. Let q(d) = -9*d**2 - 324*d + 100. Let i(l) = -29*c(l) - 3*q(l). Let o be (2\/4)\/(-1)*-14. What is i(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6.4. Let v = 1.4 + l. Let p be 1 + -1*3*2. What is the biggest value in p, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1855848 + 1010018. What is b rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3836, 7674, 11512?\n\"Answer: 3838*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -13. Let w be -3*(-8)\/y*-1. Suppose 4*m + 4*m**5 - 8*m**3 - w*m + 2*m + 0*m = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 13. Let k be h(-13). Let p be 32\/(-60) - 2\/(-3). What is the nearest to k in 2, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.68719ml in litres?\nAnswer: 0.00568719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 118*c - 488. Let b be r(4). Calculate the highest common divisor of b and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 126, 134, 148, 168, 194?\n\"Answer: 3*q**2 - q + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 23. Let j be f(-6). Suppose h = j*h + 152. Which is smaller: -40 or h?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 229 = -4*f + 370, -47*f = c - 5*c - 1680 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.4 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.53 - -13.93. What is the second biggest value in f, 0.631, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - 14.4. Let u = -533400 + 533382.99931. Let j = y - u. What is j rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 0 (b) 3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 4. Let j be q(7). Suppose j = -7*i + 11*i. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 4*y + 4*y - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035534408 rounded to 7 dps?\nAnswer: 0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.98 + 0.02. Let u(p) = p + 2. Let o be u(2). Let c be (3\/12)\/((-7)\/o). Sort c, a, -0.3 in ascending order.\nAnswer: -0.3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 9, m: 5}. What is prob of sequence em?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 258\/21. Let q be (r\/15)\/((-4)\/10). Suppose -6 = -q*k - 16. Sort 4, 0, k in increasing order.\nAnswer: k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55897, -223591, -503083, -894373, -1397461, -2012347?\nAnswer: -2739031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 39*z**2 + 436*z + 4273. Give p(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 199*x + 2051. Determine b(11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/4*(-3378)\/(-3378).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 4*l + 11 = -2*i, i + 5*l = 19. Let z(o) = -43099998*o**2 + 3*o + 1. Let t be z(i). What is t rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-102))\/(1\/1*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 598 + -387. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 6434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -618, 1, 2, -0.5 in descending order.\nAnswer: 2, 1, -0.5, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/7, -15.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*l = -312*l + 1209. Let a = l - -121. Calculate the highest common divisor of a and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 495.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 1 - 1)*(-105*j**4 + 205*j**4 - 9*j**2 - 102*j**4).\nAnswer: -4*j**5 - 18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.87.\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83807804 by 406834.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6423, -5925, -5427, -4929?\n\"Answer: 498*a - 6921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {h: 1, i: 8, g: 2, n: 7}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 32. Let g be m(6). Suppose 5*j = 4*r - 377, -284 = -3*r - 0*j + g*j. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212480337.5 rounded to the nearest one million?\nAnswer: -212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-2)*(-1802)\/476 and 27\/48*104\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 1891216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 428170 < 428170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640188867 to the power of 1\/2, to the nearest integer?\nAnswer: 40499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**4\/4 - 4*x**3\/3 + 7*x**2\/2 - 4*x + 793. Let k(f) = -7*f**3 + 9*f**2 - 15*f + 9. Give 9*j(p) + 4*k(p).\nAnswer: -p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 41 - (0 - -14)\/((-19)\/((-361)\/(-38)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/11 - 59*o**2\/11 - 79*o\/11 - 16\/11.\nAnswer: (o - 16)*(o + 1)*(4*o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*f = -105*f - 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -57*y + 17. Let v(g) = -10*g + 3. Let w(r) = 6*i(r) - 34*v(r). Let o(b) = -203*b**2. Determine o(w(c)).\nAnswer: -812*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let u = -2057 + 2059. Sort -3, -5, u, v in decreasing order.\nAnswer: u, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 10:10 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + (-35)\/(-25). Find the first derivative of -24*o**2 + 20*o**2 - s - 2 + 0 wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 397*b**3\/3 - 225*b**2\/2 + 55. Find the second derivative of v(i) wrt i.\nAnswer: 794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 9*n**2 + 4*n - 7. Let t(l) = l**2. Let y(g) = -s(g) + 5*t(g). Suppose 5*v + 31 = a, 17 - 4 = -2*v + a. Does 26 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 8*u - 6. Suppose u*r = 4*r + 110008. Let m be 4\/(-10) + r\/(-20). What is m rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6901\/7 + -985. What is the fourth smallest value in 4, -5, v, -4\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 5*v + 16. Calculate l(-8).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.021 + -7.921. Let z = -8 - d. Let h = -3.1 - 2.9. Which is the nearest to z? (a) h (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 35820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4636 - 2996. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67851 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1587, -44 in ascending order.\nAnswer: -44, -3, 1587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}