diff --git "a/data/dm_maths/full_data_1/166_11255.jsonl" "b/data/dm_maths/full_data_1/166_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/166_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = 0.122 - -11.578. Let f = n - 12. What is the nearest to 1\/3 in 5, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2104, 7\/22, -0.1, -0.104?\nAnswer: 2104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -17 - (-742 + 728).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 9. Let t(p) be the first derivative of 4 + 10 - 2*p**3 - 2*p**f + 2*p**2. Let u(o) = -5*o. Determine u(t(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022083 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 less than 382?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8092?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*36\/16*(-2 + 0). Solve z*q = 4*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7310.537 milliseconds?\nAnswer: 7310537000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.81 times 0.680858\nAnswer: 1.23235298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8608.402 hours to microseconds.\nAnswer: 30990247200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-28))\/(3*(-35)\/147))\/((-94)\/(-5405))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65277443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 387, -1, 0, 1035, -54 in descending order.\nAnswer: 1035, 387, 0, -1, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-13) + ((-149096764)\/(-6578) - (-6)\/33).\nAnswer: 2, 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9*t + 5*t + 27, -3*t - 2*p = 1. Solve -4*d + 9 = 4*s - t*d, 15 = -5*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(448)*2 - sqrt(448)) + (0 + sqrt(448))*-3 + sqrt(448) + (2 + (sqrt(448)*-1)**2 - sqrt(448)) + (sqrt(448) - -1*sqrt(448)*1)**2 + 2.\nAnswer: 64*sqrt(7) + 2244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.65 - 0.57. Let q = 24.1 - 29.1. What is the closest to -0.2 in -3, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 20569*c**2 - 24. Let d be j(2). Let v = d + -203276. Round v to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1297998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(6300)*2 - sqrt(6300)))\/sqrt(9) + 1 + 0 + (4*(sqrt(7) + 1 + sqrt(7) - sqrt(7))*-4)**2.\nAnswer: 503*sqrt(7) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 718 + -838. Let o be -3 + 9 + -4 + 234\/q. Suppose 3*x - 8 = 3*f + 4, 0 = -3*f - 12. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -678 (base 15) to base 6\nAnswer: -10435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 20 = -6*s. Let g be 76\/(-56)*s - (-6)\/(-14). Suppose -2*o + 0*o = -4*n, 0 = n + g*o - 11. What is the nearest to 4 in n, -0.04, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a - 5*h - 14 = 0, 0 = -2*a + 5*h - 14. Let x(j) = -2*j - 3. Let z be x(-5). Let b be 2\/z + 2\/a. Solve y - 6*y - 15 = b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(4\/5)\/o))**(-44) assuming o is positive.\nAnswer: o**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -2 (c) -3\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 24. Let i be m(-10). Let k(g) = 3*g + 41. Let z be k(-11). What is the highest common divisor of z and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1*(2 + -2). Suppose -m - 5599980 = 3*m + 5*n, -5*n + 20 = u. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:04 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12\/25 + -1407\/275. Let b(i) = i**3 + 4*i**2 - 3*i + 2. Let u be b(-5). What is the common denominator of u - -4*(-2)\/(-12) and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17302, -33038, -47206, -59812, -70862, -80362, -88318, -94736?\n\"Answer: -w**3 + 790*w**2 - 18099*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 3. What is the first derivative of -g + 4 + r**4 - 5 + 4*r**4 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16618 - 1929*y**3 + 2*y**2 - 2*y**2 - 1207*y**3 + 16618.\nAnswer: -3136*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 863376, 862213, 861050, 859887, 858724, 857561?\n\"Answer: -1163*z + 864539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1513 + 2671. What are the prime factors of i?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 295 and 20.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/(-819) - (-316)\/(-26)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34128 and 10306656.\nAnswer: 10306656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**3\/6 + f. Let w(k) be the second derivative of -7*k**4\/4 - 10842*k. What is w(z(o))?\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454 or -459?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/595*(-5)\/4*2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111101 (base 2) to base 16.\nAnswer: -23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841109 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908 = 25*j + 11*j + 70*j. Calculate the smallest common multiple of j and 3777.\nAnswer: 22662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -11 + 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1624)\/(-12)*(-6)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -1865758240.6076.\nAnswer: -1865758240.7076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -1, -22, 2.\nAnswer: -22, -3, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -30*k - 21. Let j(w) = -w + 1. Let b(p) = -2*j(p) - x(p). What is the first derivative of b(g) wrt g?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7574 * 0.61.\nAnswer: -4620.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 26779828?\nAnswer: -1\/26779828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8456669 and -0.5?\nAnswer: -4228334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2 - 2728. Let r(n) = -77*n. Calculate r(f(b)).\nAnswer: -616*b**2 + 210056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 k when three letters picked without replacement from {j: 3, h: 4, k: 5, f: 4, c: 1, m: 1}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1250 + 1308.3. Let t = -84 + 30. Let v = z + t. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*(m**(-1\/2)*m)\/m*(m**(-1\/14)\/m*m*m)\/m**(1\/3) assuming m is positive.\nAnswer: m**(52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -809, -1215?\n\"Answer: -406*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 70 = -0*p. Put 2, -5, p in ascending order.\nAnswer: -5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486319791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/15 - 4*m**2 + 5*m. Differentiate t(p) with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-2 + (-3 - 3) + 2)) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 12*c = -2*i + 19, -5*i + 30 = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/356482157 or -1?\nAnswer: -4\/356482157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/(((s\/(s\/(s**(-1\/4)\/s*s)*s))\/s)\/s))\/(s**(-2\/5))**(4\/19))\/(((s\/(s*(s\/((s*s\/(s*s\/(s*s**1*s)))\/s*s))\/s))\/s)**(-50))**46 assuming s is positive.\nAnswer: s**(1751167\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 + (-4692)\/(-30). Suppose -a + 28 = 3*k, 7*k + l = 4*a + 4*k. Is (a\/4)\/(6\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -358*u - 1. Let h(g) = -g. Let p(c) = a(c) + 2*h(c). Is p(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + j = 11, -3*j - 67 - 28 = -22*q - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 434 - 435. Is m\/(-7) - 1570290\/(-238) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*j + 3*f, -3*j - 2*j - 4*f = -20. Suppose 5*v = -5*a + 45, 4*a + 3*v - 35 = -1. Let z = j - a. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0089 - -5156337.47075\nAnswer: 5156337.46185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/2520 - b**5\/4 + 38*b**2. Let s(j) be the third derivative of l(j). Let r(o) = -8*o - 2. Calculate r(s(x)).\nAnswer: 16*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94485*z**5 + 27934*z**2 wrt z?\nAnswer: 5669100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 66.365. Let z = u - 0.065. Sort -1, z, 2.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 98 = -2*s - 5*g, -3*s + 165 = 3*g. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * -3.227.\nAnswer: 64.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.362 - -0.638. Put -4.46, i, 0.5 in increasing order.\nAnswer: -4.46, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83\/129 + 1\/43. Put 0.3, v, -8 in descending order.\nAnswer: v, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8428 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12593 divided by -12593.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in centimeters?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214596.\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.9 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 17 - 31 - 2*l. Let p = -7 + 15. Calculate the remainder when o(-7) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 9:12 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/68 - (-8036)\/(-833). Let h(u) = -14*u - 142. What is h(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -111000010100011011110?\nAnswer: -111000010100011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + (sqrt(147) + -4*sqrt(147) + 3 - sqrt(147)) + -1)*3)**2.\nAnswer: 127008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/7 - r**4\/7 + 3*r**3\/7 + r**2\/7 - 2*r\/7 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + i + i + 46 + 49 as x*i + t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -3, -0.1, 0.1.\nAnswer: -3, -1\/5, -0.1, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 764, 1552, 2318, 3050, 3736, 4364, 4922, 5398?\n\"Answer: -2*j**3 + j**2 + 799*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3 - 2*l**2 - 3. Let s(i) = -i**3 - 12*i**2 + i + 19. Let t be s(-12). Let x(c) = 11*c**2 - 7*c + t*c + 6*c**2. What is x(p(u))?\nAnswer: 68*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x + 20 - 20. Let c(l) = -l**2. What is c(i(p))?\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-3) - (-4)\/(-12). Suppose 4*k + 1796 = 5*a, -4*a + 3*k = -1274 - 163. Suppose -131*s - a = -134*s. What is the highest common factor of s and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 9*t + 2*t + 5*t**2 - 2*t**2 to the form i + g*t**2 + m*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 10*b + 9. Let i be q(7). Let s = 41 - i. Solve 0 = 2*o - 0 + s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 21*l + 107. Let j be a(-13). Find the second derivative of -610*d**3 + 83*d + 0*d**2 + 3*d**2 - 2*d**2 + 611*d**j wrt d.\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2488)\/10*(-66795)\/146. Suppose 11*r - 170953 = u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2101666 divided by -2.\nAnswer: -1050833","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 + 0.1. Suppose -4*g = 4 - 12. Let w be (4\/24)\/(g\/9). Put 0.3, w, f in descending order.\nAnswer: w, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(108) - (2 + (0 + sqrt(108) - sqrt(108)))) + sqrt(108) + 2 + 0)*4*-5*2)**2.\nAnswer: 24883200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*i - 11494 = -2440 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -459.1781 and 4.\nAnswer: -1836.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13311000 (base 4) to base 8.\nAnswer: -76500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*x**3 - 4*x**4 - 2 - 2*x**2 - 2*x**4 - 23*x**3 in the form f + p*x**4 + l*x**2 + h*x + o*x**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67516 is divided by 33749.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 5*n**2 - 3*n - 8. What is z(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511611.34 rounded to the nearest 1000?\nAnswer: -1512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {q: 2, m: 2, w: 8, s: 7}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -18*b + 5. Let u(i) = -11*i + 3. Let t(y) = 3*m(y) - 5*u(y). Let r be 18\/8 + (-3)\/12. Let z(l) = 5*l**r - l**2 + 4*l**2. Determine t(z(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -12) + 4 + (-2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(-125*a - 96*a + 7*a) - 2*a - 3 + 3 + (0 - 4 + 5)*(1 - 1 + 2*a) - 2*a - a + 2*a + 2*a - a + a.\nAnswer: 429*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 - ((41 - 60) + 48)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u - 3*p = -29*u - 4, 0 = 4*u + 2*p + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 1 + 0*n**2 + 1\/3*n**3 + 0*n. Let h(r) = 5*r + 3. Let c(g) = 4*g + 2. Let k(s) = -6*c(s) + 4*h(s). What is k(j(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - -4*(sqrt(500) - (sqrt(500) - (sqrt(500)*-3 - sqrt(500))))**2) + -3*(-1 + sqrt(20)\/sqrt(4)).\nAnswer: 7*sqrt(5) + 32003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*x + 53 = -3*r, 0 = -r - 3*x + 29. Calculate the remainder when 55 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -27. Suppose -d - j*d + 2286 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (7 - 15) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fccf when four letters picked without replacement from ccccfff?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/9 - 1156*n**3\/9 - 41186*n**2\/9 - 8768*n - 4320 = 0.\nAnswer: -540, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-5) - -1)*(-2)\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -0.2 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 5, -3, 11693, -2 in descending order.\nAnswer: 11693, 5, 4, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -29*g + 168 + 186 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5960, 5959, 5958?\nAnswer: 5957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2)*(-6)\/12. Suppose -4*u + 14 - 6 = g. Calculate the lowest common multiple of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255887 + -0.06282339?\nAnswer: -5255887.06282339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 20*b. Suppose b = 5*l + 1130 - 1650. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 366824835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 + 1.28. Let r = 1.2 - y. Let o = r - 0.169872. What is o rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 673.38 + -674. Let g = x - -49.62. Which is the second smallest value? (a) g (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -55?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23326848 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyyewywwwwybwee. What is prob of picking 2 w and 1 y?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.2, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1079 divide 2337423673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 16*k**2 + 2*k + 5. Let c(b) = 2*b**3 + 17*b**2 - 3*b - 5. Give -2*c(q) - 3*h(q).\nAnswer: -q**3 + 14*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, 14431970, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*b + 5*u - 5, -3*u - 7 = 2*b. Let p = -209774\/7 - -30016. Let j = p + -48. What is the second smallest value in j, b, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 1814*r**3\/3 - 3631*r**2\/3 + 1816*r\/3.\nAnswer: r*(r - 1)**2*(r + 1816)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*w + 15 = 0, 1 + 6 = 3*q - 2*w. Let v(t) = t - 2. What is the least common multiple of v(q) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22132043 is divided by 1189?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6763 = 2*p - 10479. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2156*w**2 + 666*w**2 + 745*w**2 + 743*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*x - 3. Suppose 0 = x*a - 866 + 46. Let t = a + -1478\/9. What is the closest to 1 in t, -4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeaeeeeeeeaeaa. What is prob of sequence aeaa?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -1. Let f be (2 + -1)\/(m\/30). Suppose -f*z - 90 = -10*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (7 + (9 - 6) + -5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(55)\/sqrt(5)*3)*5 + (sqrt(44)*-4 - (sqrt(275) + -2)))*2)**2.\nAnswer: -208*sqrt(11) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 + (4 - 0). Suppose 2*y + y = r*g + 77, 0 = -y - 4*g - 1. What is the third derivative of -8*l**5 + 137*l**2 - y*l**5 - 109*l**2 wrt l?\nAnswer: -1620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -2\/9, -5, -0.82?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 0. Let b = -286 - -429. Let f = 569\/4 - b. What is the smallest value in f, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -323*n**3 + 1422*n - 1423*n + 6 + 0 - 2 to the form z*n + c + s*n**3 + o*n**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5. Let x be 10\/(-6)*2997\/1665. Let p(t) be the second derivative of 0 + 5\/2*t**2 - 1\/6*t**3 - 2*t. Calculate x*u(c) - 2*p(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/17))\/u)\/(u\/((u**(-17\/4)*u)\/u)) assuming u is positive.\nAnswer: u**(-373\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2434*y**5\/13 - 29200*y**4\/13 + 38848*y**3\/13 + 116960*y**2\/13 - 194336*y\/13 - 640\/13 = 0.\nAnswer: -2, -4\/1217, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 513*i + 510*i + 12 = 0, -i = -4*u + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -253, -380, -507?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 67 + 71 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3080842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26214*i - 1. What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 44.5. What is the fourth smallest value in 2, -2, 0, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 6:48 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844481548?\nAnswer: 2, 3, 17, 47, 241, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082808 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-942)\/(-464) + 2\/(-1) and (-103)\/(-28) + 9*(-18)\/(-2268).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 30\/(-9))*-3. Suppose -p*q + 2*b + 3*b = -67, -4*q = -3*b - 127. Let c = q + -17. Calculate the greatest common factor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206122829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -851 divided by -1102\nAnswer: 851\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13602927 is divided by 15564.\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25063.\nAnswer: 71, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -201, -158, -117, -78, -41, -6?\n\"Answer: -b**2 + 46*b - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-10)*8\/(-6). Find the first derivative of -s + 147 - 53*x - 33 wrt x.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/7 (b) 1 (c) 0.4 (d) 0.006 (e) 3097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 6. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1071640 or 1071641?\nAnswer: 1071641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -318, -735, -1164, -1605, -2058, -2523?\n\"Answer: -6*z**2 - 399*z + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a + 84*a - 20 = -52 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5784*a**4*g - 20*a**3*g - 2*a*g - 12825*a - g wrt a.\nAnswer: 69408*a**2*g - 120*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -2\/15, 21, -0.2, -0.01, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 13*a. Suppose 40 = 5*r + 4*o, 2*r + 5*o - 3*o - 14 = a. What is the greatest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/24*6\/(-70). Let k(r) be the first derivative of -r**3\/3 + r**2 - r + 10. Let o be k(2). Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) + (-2)\/(-4). Let u(k) = 42*k**2 - 42*k - 63. Let p(j) = 11*j**2 - 11*j - 17. Let y(x) = -23*p(x) + 6*u(x). Determine y(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:11 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 9 = 7*x. Let h = -2 + 3. Let z = x - h. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*(-90)\/(-144)*(-570)\/247\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -526020, -526021, -526022, -526023?\n\"Answer: -m - 526019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 39*n - 924 = 0. Suppose 4*y = -5*d + 10, n + 4 = 2*d - 4*y. Let l(h) = 10*h - 6. Let z(w) = -w + 1. Calculate d*z(i) + l(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 589428.1 decades in millennia?\nAnswer: 5894.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -d - 2 + 17, -3*d = -2*i + 10. Suppose -4*u = 3*v - 44, i*u - 5*v - 75 - 15 = 0. Calculate the least common multiple of 22 and u.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 723*i + 42757. Determine r(137).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*(p*p**0*p)\/p*p*p))\/p)**2)**(-18)*((((p\/(p**(-1\/2)*p))\/p)\/p)\/p*p**(-1\/9))\/(p**(-2\/7)*p*p**(-5)) assuming p is positive.\nAnswer: p**(18355\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.106 - 0.1. Let l = -1027.947 + 1028. Let p = l + h. Round p to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5266890 and 45?\nAnswer: 5266890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, i: 2, t: 3}. What is prob of sequence itwi?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 246.3 at least 856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 - k**2 - 4. Let q be m(-2). Let w(a) = -11*a + 33. Let x be w(q). Let g = x + 259. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2, -5*m = 4*a - 2*m - 29. Let p(z) = -a + 8 - z. Let c(f) = 2*f. Give c(p(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, q: 1, w: 2, k: 1, v: 1}. What is prob of picking 1 w, 1 q, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**4\/12 - 8*w. Let o(j) = -3097 - 9*j + 3097. Give t(o(i)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(270))\/(sqrt(120)\/sqrt(5) + sqrt(6)) - 4*(-3 + 2 + sqrt(60)\/sqrt(3)))**2.\nAnswer: -80*sqrt(5) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5 - 10. Suppose -i*d + 1 = r, 2*d = -d - 5*r - 19. Suppose d*m - m = 13. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-14) - (-333)\/(-252). Let g = 3832\/57 + -202\/3. What is the nearest to 7 in g, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 - 4*b. Let u be a(6). Let v = -16 - u. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - 20*t**2 - 494 - t + 250 + 253 - 4*t**3 to m*t**2 + i*t + y*t**3 + v and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88500766.\nAnswer: 2, 44250383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 - 3\/4. Which is greater: s or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**4\/12 - 2*h**3\/3 + 32*h. Let k(g) = -g + 0 + 2*g + 11. Let o be k(-6). What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 65 = 7*p. Let v = p + 13. Suppose 4*k + 163 - 7 = 4*f, v = -2*f + 5*k + 69. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -q - b, 8*q + 2*q + 3*b - 77 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -2, 711160, -7 in ascending order.\nAnswer: -7, -6, -5, -2, 711160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-54)\/(-12). Suppose 11 = -l*b + 127. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5111844 and 16613493.\nAnswer: 66453972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -240, 291, 1182, 2439, 4068?\n\"Answer: t**3 + 174*t**2 + 2*t - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 6. Let z be j(-5). Let k(l) = l**2 - 7*l - 8. Let r be k(z). Factor -3*g**4 + 4*g**3 + 2 + 4*g**4 + r*g**2 + 5*g**5 - 9*g - 6*g**4 - 7*g**4.\nAnswer: (g - 1)**3*(g + 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0630437 and -4.2.\nAnswer: 0.26478354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-327 + 1 + -5). Suppose -7*n - 110 = -a. Calculate the remainder when 158 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s. Let r(y) = 7 - 9*y + 6*y**2 + y**3 - 11*y + y**2 - 24. Let u be r(-9). Suppose p = -0 + u. What is z(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 27 = -w + y, 0 = 2*y + 2. Let k = -2 - w. Let j = -1.9 + 1.7. Sort k, 0.01, j in descending order.\nAnswer: k, 0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m + 217 + 503. Does 2 divide (72\/m)\/((-2)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 23*f**4\/8 - f**3\/3 - 8*f**2. Let l be z(2). Calculate the remainder when (-5)\/15 - l\/(-3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-80)\/24*(-7)\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -94273*m - 942735. Determine h(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(1 - 2*r - 1) + r + 0*r + 0*r + (3*r + 0*r - 4*r)*(49 + 18 + 3) + (3 + 0 - 1)*(2*r + r - 5*r).\nAnswer: -71*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/990*-651 + 4 and -68\/105?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7028 by -2.\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 75 = 2*p, -5*p + 0*p - 297 = -4*c. Suppose c*l - 63*l = 30. Solve 21 = 6*n - l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*j + 11. Let n(w) = 5*w - 1. Let y be n(2). Solve -j*f - f = -y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -3 - 2\/(-1). Suppose f = -i + 4. Suppose -n = -4*q + 3*n, -3 = -i*q + n. Which is smaller: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*h + 16 = 2*y - 602*h, 4*h = -4*y + 48 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*p**2 - 4*p**2 - 3*p**2)*(-56*p**2 - 288 + 288) in the form n*p**4 + g + o*p**2 + a*p + m*p**3 and give n.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-1116))\/(1\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24005 + 24018. Suppose 2*d = 3*k + 10, 0*d - k - 22 = -3*d. Suppose -h*o = -d*o - 2705. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 - (118 - 100)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -64, -63, -62?\n\"Answer: r - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 5*u**2 + 3*u - 4. Let n be p(-3). Let z = -0.32 - 0.08. Which is the biggest value? (a) -4 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -13.3, -0.22?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = -306. Let m(x) = -x**3 + 61*x**2 - 60*x + 245. Let j be m(60). Let y = f + j. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27029.\nAnswer: 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - 0.6. What is the closest to b in 2\/15, 0, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is baaad + 2?\nAnswer: baab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/18*-3*3*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140141*u + 230*u**2 - 140141*u.\nAnswer: 230*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 - 127680?\nAnswer: -127776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/(-75))\/((-6)\/20). Solve -m*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2696.733us to days.\nAnswer: 0.0000000312121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*d**2 - 30*d**2 - 182 + d - 133 + 87*d**2.\nAnswer: -2*d**2 + d - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -44, -123, -212, -317, -444, -599, -788, -1017?\n\"Answer: -t**3 + t**2 - 75*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let z be 14\/(-3)*(-3 - (-45)\/21). Sort b, -7, z.\nAnswer: -7, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (0 + -5 + (14 - 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -10000?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18.7*1209037\nAnswer: 22608991.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6570\/11 + 594. Let l be 96\/(-90)*(-5050)\/6 - 0. Let j = -16069\/18 + l. Calculate the common denominator of j and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 25. Let z be ((-10)\/(-30))\/((-2)\/f). Solve -z*j - 6 = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.12218 - 1.66887. Let z = -1.093225 + r. Let f = -0.36 + z. Round f to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {u: 1, f: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.587 - 19.587. Let g = -7.02 - -7. What is the biggest value in t, 19, g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:48 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7401 divided by 9?\nAnswer: 2467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5451834 is divided by 622.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 439257662 divided by -5594?\nAnswer: -78523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 6*w. Suppose 2*n + 363 = -3*l - n, -w*l - 5*n = 248. Let a = -30 - l. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 58 = 8. Solve -5*t = 5*h, 5*h - 2*t - w = -5*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -359, -612, -865, -1118, -1371?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3357 is divided by 76?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68944480?\nAnswer: 2, 5, 11, 43, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**4\/4 + 7*j**3\/6 - 276*j**2. Let c(x) = -3*x + 3. Calculate 9*c(s) - 4*u(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*i = -211 + 187, f + 3*i = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/832 and (0 - 83\/176)\/((-21)\/7 - -5).\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let g(v) be the second derivative of 5*v**3\/3 + v**2\/2 - 4*v. Let o(p) = 3*p. What is w*g(d) - 7*o(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342966 and 102.\nAnswer: 5830422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 34 = b, a + 2526494 = -2*b + 2526526 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 3*t**8\/140 + 23*t**4\/12 - t**3\/3 - 3*t**2\/2 + 3*t + 5. Let w(c) be the second derivative of g(c). Differentiate w(q) wrt q.\nAnswer: 144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60828 + 15814\nAnswer: -45014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 59104*i**3 - 177300*i**2 + 177296*i - 59098.\nAnswer: -2*(i - 29549)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:52 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 75384504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2185, 3, -1, 176 in increasing order.\nAnswer: -1, 0, 3, 5, 176, 2185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s - 580. Let u = s + -87. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)\/(z\/(z\/z**(2\/23)*z)))**(-8) assuming z is positive.\nAnswer: z**(-1024\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 5. Let v be (-2)\/(-14)*7*-1*0. Let z(m) be the third derivative of 25 + v*m + m**2 - 1\/2*m**3. Give -3*g(d) + 5*z(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/1045)\/(((-2)\/14)\/(35\/147*-6))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6*h**2 + 16870*h + 5 - 16856*h.\nAnswer: 6*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.0456 and 0.082?\nAnswer: -0.1677392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:47 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 55, 75, 91, 103, 111?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 52 + 24 = 4*z, 2*n = 4*z + 20. Suppose 6*o - 5*o = 1, 5*o - 257 = -n*p. What is the highest common divisor of 294 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56499\/44 + -1284. Sort -0.3, 2, d, -5.\nAnswer: -5, -0.3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/32 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/6 and -71\/167910.\nAnswer: 167910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 88*v + 5. Let d = 187 - 178. Is r(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6))\/d*d**(-4\/7)*(d**(2\/3))**(-28))**36 assuming d is positive.\nAnswer: d**(-6360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p - 149*p + 188 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8992032 divided by 1498672\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -326466?\nAnswer: -326461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 take away -0.004?\nAnswer: -523.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3710?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167745*l**2*t - 14*l*t - 6*l - t - 116 wrt l?\nAnswer: -335490*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.6 - -160. Let n = o - 116. Let d = 22\/19 + -24\/19. Which is the third smallest value? (a) n (b) -2\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26448 and 9584?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + ((sqrt(75) + 1)*-2 - (sqrt(75) + -5 + (0 + sqrt(75) - sqrt(75)))))**2.\nAnswer: -240*sqrt(3) + 742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 4:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*c - 51 + 2679 = 0, -2*c - 888 = a. Is -879 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 11*r + 25*r - 5*r - 9*r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 202*n - 10605. Let s be l(55). Calculate the highest common factor of s and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 - -274.3. Suppose -p - s - 13 = 2*p, 5*p + 3*s = -19. What is the closest to 0 in 0, p, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -16. Suppose 0 = 3*m - 4*z - 66, -2*m = -z - 40 - t. Calculate the highest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tztjtzzztttttttzz.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*g = -0 + 5, -4*r + 2 = 3*g. Suppose -33 - 79 = -14*x. Let v be (r*1)\/((-40)\/x). What is the second biggest value in v, -5, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-305 + 31 - 178)*(2*l - 4*l + 5*l) to k*l + j and give k.\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2*0)\/(-41 - -39). Let x = 5 + -1. Solve -4*o = -4*t, -x*o + o + 5*t + 4 = b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (143\/(-2))\/(-11)*(-3 - -37) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.1 - 33.1. Let m = 6.23 + -0.23. Which is the nearest to 1? (a) t (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/10 - 3\/2. Is u + 1055 + (0 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 25200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33 = 15. Suppose -3*v - 18720 = -y*v. Suppose -8*c - c = -v. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 7*c - 4. Suppose -21 + 9 = -2*f. Let d be q(f). Suppose d*v + 0*v - 4 = 0. Let s(g) = 1. Let i(a) = a + 2. Calculate v*s(b) - i(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/623)\/(-20 + (-10658)\/(-511))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2358240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263488402\/722061 - -459944\/1269. Let t = 12\/569 + h. Find the common denominator of t and -74\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1705 + -1030. Let n = -710.5 + q. Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3370 is divided by 574?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.7, 2, -0.5, 3 in decreasing order.\nAnswer: 3, 2, -0.5, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3118)\/36)\/((-1)\/2). Let d = v - 173. Let n(g) = -g**3 - 5*g**2 + 1. Let c be n(-5). Is d at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11678*o - 11678*o + 656*o**3)*(0 + 0 - o) to r*o**3 + d*o**2 + s*o**4 + n + g*o and give s.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulqkn. What is prob of sequence ln?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 227*d + 670. Let o be x(3). What is the highest common divisor of 115 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -5)*5 + 4 + sqrt(2448) + sqrt(2448) + -3 + -5)**2.\nAnswer: -4872*sqrt(17) + 120793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/14)*d\/(d\/(d*d**(1\/22))) assuming d is positive.\nAnswer: d**(86\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.92909us to nanoseconds.\nAnswer: 45929.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*g, c + 314*g - 11 = 319*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8207964 divided by -23\nAnswer: -356868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -494, -3, -12, 23 in increasing order.\nAnswer: -494, -12, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*x + 262 + 28, 285 = 5*q + 3*x. Solve 5*c + 2*w = 9, 61*c = q*c - 3*w - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1652*o - 1457*o + 260*o - 126*o + 178500 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 40. Which is the nearest to -2\/3? (a) k (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l\/(l**(-1\/5)\/l))\/((l**5\/l)\/l)**(-1\/59))**(-13) assuming l is positive.\nAnswer: l**(-4797\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-3 - -2) + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(128)*-5 + -2 + (sqrt(128)*-3 + sqrt(128) + -1)*-5) + -2.\nAnswer: -240*sqrt(2) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19817771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -166490476 and 19496?\nAnswer: 166509972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 + 43*l - 121. Let s(v) = 3*v**2 + 9*v - 24. Let p(c) = 11*s(c) - 2*z(c). Calculate the remainder when 224 is divided by p(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 9*f - 31. What are the prime factors of c(7)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:15 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d - 20. Suppose d = -q + 3. Let b(w) = 6*w**2 - 20*w**2 + 11*w**2 - w. Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + (-9 - -8) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-3\/5)\/s)\/s*s*s)\/s*s)\/s**(-1\/3)*(s**7)**(-2\/35) assuming s is positive.\nAnswer: s**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/12 + 22 - (-15)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 484667895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115634986627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1127 + 1119 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 4 + 0)*(-1 - d + 1) + 8*d + 7 - 7)*(1 - 2*d - 1) + 18*d - 3*d**2 - 18*d in the form p*d**2 + c + a*d and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1376, -2732, -4088, -5444, -6800, -8156?\nAnswer: -9512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329604 and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331948, 663597, 995246, 1326895, 1658544?\nAnswer: 1990193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*j**2 - 1348*j**2 - 4572*j**2 + 790*j**2.\nAnswer: -6001*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/7879322 and 115\/2112.\nAnswer: 756414912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4504398276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 16. Suppose -4*k + 24 = r - 7*k, -2*r - k + 20 = 0. Give x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) 0.2 (b) 1 (c) 3 (d) 53\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + 58 - (0 + -2 - -9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 0 + 0)*(1 - 2 - 2) - j**4 + 0*j**4 - 3*j**4.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1019040 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299397?\nAnswer: 3, 7, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 420195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2755\/25) + (-1)\/(-5). Let f = y + 204. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 7) to base 5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 7 - 1. Put 1, q, 7, 5 in descending order.\nAnswer: 7, 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/775 (c) 0.0102 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**7\/105 - v**4\/12 - 2*v**2 - 34*v. Let j(o) be the first derivative of f(o). Find the second derivative of j(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 8:22 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340 = -39*l - 52*l + 57*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8065284?\nAnswer: 2, 3, 672107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 + 18*j**2 + 2*j + 3. Calculate q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*l**3 - 56*l**3 - 1 + 0 + 115*l**5 + (l**5 + 2*l**5 - l**5)*(-1 + 0 + 2).\nAnswer: 117*l**5 - 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160.5 - -7.5. Let g = 54 + p. Let i = -99.0011 - g. What is i rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g**2 + 154*g + 4. Let z be v(7). Solve j - 19 = 5*w, -9*w + 8*w = z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22048*p**2\/7 - 484996*p\/7 - 1320\/7 = 0. Calculate p.\nAnswer: -15\/5512, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2797*v + 22 = -2793*v - 2*m, 5*v - 41 = -2*m for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p - 1. Suppose 2*d = -6*n + 4*n - 8, 5*n + 4*d + 15 = 0. Let i(a) = 21 - 5*a**3 + 3*a - 18 + 11*a**3. Calculate n*i(s) + 3*m(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 383*n**4*y + 1932*n**2*y - 2027458*y + 2 wrt n?\nAnswer: 1532*n**3*y + 3864*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.42 * 154563.\nAnswer: 64916.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 5*f + f)*(-52*f - 59*f + 63*f) in the form i*f + u + b*f**2 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479498 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*u, -4 = n - 3*u. Let i = 196181 + -196181.4. Let z(t) = t - 7. Let g be z(6). Which is the closest to g? (a) 0.08 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364, 1291, 2802, 4897, 7576, 10839, 14686?\n\"Answer: 292*m**2 + 51*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 754, 757, 768, 787?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3691344*o**2 - 3691336*o**2 + 18*o**4 + 48*o**4 in the form z*o + i*o**4 + k*o**3 + x*o**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 233002200 (base 4) in base 6?\nAnswer: 4044000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let s = x - -0.5. Which is the nearest to 0? (a) s (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f + 5. What is u(-6)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91637\/15 + 6109. Let g = -2297\/11 - -209. Which is the closest to 7? (a) 1\/7 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 7587911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7845.6 times 15?\nAnswer: -117684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 x when three letters picked without replacement from {j: 1, g: 2, v: 1, x: 7, e: 1, w: 5}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -204*l + 63. Let m be d(-3). Let j = 898 - m. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 3336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 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: Let t = 0.5659878 - 0.51498811. Let m = t - 0.051. Round m to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119577\/20 - 5982. Find the common denominator of (-1)\/(-10)*10*(-169)\/(-3640) and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693\/168 - (-4)\/(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 86, 5, 84 in ascending order.\nAnswer: 3, 5, 84, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.23413.\nAnswer: 0.117065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-2))\/((47\/(-141))\/(4\/(-12)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -252188700 to the nearest 100000.\nAnswer: -252200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9879 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482980 is divided by 160993.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-19))\/(l**(-46)*l*l))\/((l*l**(1\/16)\/l*l)\/(l*l*l**(-28))))**20 assuming l is positive.\nAnswer: l**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7116 divided by 3558?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 6*m**2 + 3*m + 1. Let l be (-6)\/(-3)*((-10)\/4)\/(-1). Calculate g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -80. Let w(d) = -d**2 - 14*d - 13. Let s(l) = -1. Let g(r) = 2*s(r) + w(r). What is the units digit of g(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 15*j - 6 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 + -8.6. Let x = u - -17. Let y = -6 + x. Which is the third smallest value? (a) -0.3 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 79. Calculate the greatest common divisor of o and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16126523, 32253047, 48379571?\nAnswer: 64506095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13721648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4545 - 14930 - 17284 = 3034*o - 3385 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11)\/((-33)\/(-48)) + (-4 - -10). What is the fourth biggest value in 2\/7, 1\/5, a, -1\/2, -36?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426\/37 at most 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -402\/19?\nAnswer: -402\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 4*y**2 - 1\/60*y**5 + 1\/60*y**6 + 0*y + 0*y**4 + 0*y**3. Find the third derivative of x(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/4 + 2*c**2 - 4*c. Let r = -65 + 62. Determine u(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 4*r - 14. Let b be g(6). Put 3\/4, b, 0.4 in decreasing order.\nAnswer: 3\/4, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -266, -686, -2\/11?\nAnswer: -686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2284 and -85\/2311408?\nAnswer: 2311408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -48 - 36. Suppose -4*c - 8 - 5 = -g*h, h = -c + 16. Solve 2*n - h - 4 = -5*m, 4*n - 4*m + 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 278 - 168. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + q - 95*q**3 + 62*q**3 - 3*q**2. What is the units digit of h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 987*y - 12 - 985*y - 8. Let w be l(15). Solve 0*v - 5*v + w = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 261, 89, -95, -297, -523, -779?\n\"Answer: -b**3 - 165*b + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -24 - (-4 - (3 + -6)). Let f = x - -42. 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 818 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**2 + 3*m**2 - 38 + 16*m**2.\nAnswer: 2*m**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 231 = -5*g. Let z be (-28)\/g*(0 - (-6)\/4). Find the third derivative of 2*a**3 + 55*a**5 - 16*a**z - 53*a**5 - 2*a**3 wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.33289ml in litres?\nAnswer: 0.05133289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 3\/4 (c) -5\/3 (d) 0.5 (e) 103 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -25*(-20)\/(-400) + (-186)\/(-40). Which is bigger: i or 6\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11715647840 rounded to the nearest 1000000?\nAnswer: -11716000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -31*s**3 - 919*s**2\/2 - 58. Find the second derivative of x(w) wrt w.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k - 1. Let l = -10 + 15. Let a(d) = 5*d + 1 - 5*d**2 - 4*d**2 + l. Let h(y) = -a(y) - 6*b(y). Find the second derivative of h(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/4 - 885*h = 0 for h.\nAnswer: 0, 1180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(126)\/sqrt(7))\/sqrt(6) - (sqrt(108)*2 - sqrt(108))).\nAnswer: -5*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125.88 - 128. Let j = s - -2.11999492. What is j rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/19*-17*(2 + -1). Differentiate 28 - 23*b**4 + 39 - u + 13*b**4 wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - sqrt(198)*2)\/sqrt(9)*-1)\/((sqrt(275) - sqrt(275)*1)*-3 - sqrt(275) - sqrt(275)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195, 388, 701, 1152, 1759, 2540, 3513, 4696?\nAnswer: 6107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 5*l - 3. Let z(m) = 50*m - 47. Let k be z(1). Let c be a(k). Factor -1\/4*o**4 + o**2 + c + 2*o - 1\/2*o**3.\nAnswer: -o*(o - 2)*(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(6\/7)*f**(3\/14)\/f*f assuming f is positive.\nAnswer: f**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 8*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -205027*f**2 - 11*f. Let t(n) = n. What is l(t(b))?\nAnswer: -205027*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1020 + -1453?\nAnswer: -2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1397 at least -3192\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert e2 (base 16) to base 14.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5025.113ng to tonnes.\nAnswer: 0.000000000005025113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 5*a - a. Let g(t) = -t. What is -18*g(z) - 4*i(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6014 = 3*l, -4*l - 2946 = 4*y - 10966. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*r + 23, 0 = -l - 4 + 6. Solve r*t = -c - 6, c + 4 = -t - 0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/150 - d**4\/20 + 81*d**2. Find x such that y(x) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 481 - 1564. Let h = s - -1137. Let d(m) = 4*m. Let j be d(-1). Put j, 3, 3\/8, h in ascending order.\nAnswer: j, 3\/8, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13bcc3de + 5?\nAnswer: 13bcc3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*1)\/(-2*sqrt(486)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 745 and 3576745.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11737 - -11736.94297. Round l to 3 decimal places.\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 9, m: 5}. What is prob of picking 2 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 6*y**2 + 7*y - 3. Let v be o(5). Let p(j) = -j + 11. What is the units digit of p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1301 < -1303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, s: 1, k: 2, w: 1, a: 7}. Give prob of picking 1 k and 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9476516 and 308?\nAnswer: 104241676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 + 144.515. What is j rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:30 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 67250944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 23 = -170. Calculate the least common multiple of 4 and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 147, 251, 355, 459, 563?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5238751 divided by -2.\nAnswer: -5238751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/30 (b) -3\/2 (c) 0.6 (d) 0.4 (e) -2 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/(-76))\/((-21)\/(-18)) - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, p: 7}. Give prob of sequence pwwp.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -153, -535, -1277, -2499, -4321, -6863, -10245?\nAnswer: -14587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -686 divided by 49?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5418057 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-80)*-15)\/(((-55)\/(-88) + -1)\/3).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + 3 + 8 - 89?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate the highest common divisor of 752 and 43696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 28*l = 33*l - 19, 0 = 4*g - 4*l + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*i, -h - 4*i + 18 = -2*h. Suppose 0 = x - 3*x + h. What is the tens digit of (x\/2)\/((-1)\/(-26))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11963, -23896, -35831, -47768, -59707?\nAnswer: -71648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**2 + 4*v + 1. Let j = -444 - -450. Let x(h) = 9*h**2 - 5*h - 2. Determine j*x(t) + 7*y(t).\nAnswer: -2*t**2 - 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/5, -722?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4203220400 (base 5) to base 13.\nAnswer: -1a3a4c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 13 = -3*a, 8 = -3*m - 48*a + 50*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/39 + -2\/13. Let a = 1431\/7 - 205. Put 0, a, d in decreasing order.\nAnswer: d, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 15, -4, 133.896, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1066 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10029 and 103?\nAnswer: 1032987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 2568348.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y = 0, -5*c = 4*y - 5. Let q be (-5)\/4*4\/1. Put 4, q, c in decreasing order.\nAnswer: 4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aadd when four letters picked without replacement from {d: 3, a: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 804985 (base 11) to base 3.\nAnswer: 2102210021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x - 3. What is i(5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 15 - 45 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -56*m**3 + 20*m**2 - 245*m + 481. Give i(2).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*j + 115 = 3*s - 24, -s + 15*j = 12*j - 1 - 4 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609 - (-5 - -4)*-2.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001010011011111101100 (base 2) in base 11?\nAnswer: -1416628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + 8*n + 11. Let s be a(0). Suppose -19 = -s*q + 14. Solve -q*j - 9 = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.3 - -0.3. Let n = 4637.5 + -4637. Put u, n, -1\/2, 2\/3 in ascending order.\nAnswer: u, -1\/2, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43739*x**2 - 28589*x wrt x?\nAnswer: -87478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -16*m**3\/3 + 2. Let g(l) be the first derivative of l**2\/2 - 8. Calculate h(g(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 2040588*g**2 - 6121792*g - 4081200.\nAnswer: 4*(g - 510150)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 9*f + 8*f + 14*f - 26*f, -4*f + i - 25 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.7201 rounded to one dp?\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152096.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32879*x**3 + 2*x**2 + 1564*x + 8 wrt x?\nAnswer: -197274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 + -28604.\nAnswer: -28386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 37\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -81 and -95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2 + -3) - -97. Let j = -68 + v. Calculate the common denominator of 192\/j - (6\/(-2) - -2) and 71\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 524 - 6. Calculate the least common multiple of t and 14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 144*z - 246. Is k(8) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/(-84))\/(1\/2). Let g be l\/6 + 205\/(-30). Suppose 7*x - 3*x = 5*y - 20, 0 = y. Sort -2, 1, x, g.\nAnswer: g, x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 955, 4458, 10309, 18508, 29055, 41950?\nAnswer: 57193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 67*v + 39*v**5 - 1 wrt v.\nAnswer: 780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(3 - 5 + 1)*(-2*h + 2*h + h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 5*b**2 + 6*b - 2. Let k(n) = -4*n**3 - 10*n**2 - 12*n + 5. Let c = 21821 + -21823. What is c*k(h) - 5*y(h)?\nAnswer: -2*h**3 - 5*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 10*x + 12. Let o be z(9). Which is the third biggest value? (a) o (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7518 is divided by 751.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k + 68. What is the remainder when 26 is divided by x(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 286\/(-66)*(-36)\/78. Solve -5*l = -2*m, -51*m - 14 = -f*l - 53*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 + 9*q + 1. Let h be ((-56)\/(-1))\/(-2)*-1. Suppose -5*c + h = -3*b, 2*b = -3*c - 3*b + 44. List the prime factors of d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468)*3 + 3)**2*-6.\nAnswer: -44982 - 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 5. Let j be 1 - a - (-3 + 2). Solve u + j*u - 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 45\/(-75)*(-2 + 7). Let a be -71 - -68 - (20\/r - -1). Suppose -1\/3*v**2 - 16\/3 + a*v = 0. What is v?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58, -58, -52, -34, 2, 62?\n\"Answer: m**3 - 3*m**2 + 2*m - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 457\/5, -0.29, 0, 0.1, 4.\nAnswer: -0.29, 0, 0.1, 4, 457\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*3*sqrt(18))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1322.189 + 1321. Let r = -1.1892771 - o. What is r rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 317 + 293 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:46 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856300 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59, 118, 175, 230, 283, 334, 383?\n\"Answer: -p**2 + 62*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104041 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246009 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (10 + -35)) + 3 + -2 + -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0080943186 times 0.1\nAnswer: 0.00080943186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (71 - 8) - (-60 - (-52 + -15)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:34 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 39 = -7*g + 4*g, -3*g = 6. Suppose -4*f + b = -117. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8 - 0) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 12*s**2 + 11*s + 2. Let x be i(-11). Factor v**x + 10 - 4*v - 6 + 0.\nAnswer: (v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 13\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 1\/9, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -653, -669, -695, -731, -777, -833, -899?\n\"Answer: -5*t**2 - t - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**2 + 0*w**2 + 3*w**6 + 3*w**6 wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, b: 13}. Give prob of picking 2 p and 2 b.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from yoyooye?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*a**2 - 35*a**2 + 87*a**2 - 27*a**2 + 3*a**4.\nAnswer: 3*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 + -140 + (14 - 2) + 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-6) + 1)*-3. Suppose 5*u - n*u = 3. Suppose m - 5*m = 8*m. Solve m = -0*j + 3*j + s - u, -2*j - 2*s = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*g + 10*g. Suppose 4*y + 76 = 6*y. Calculate the remainder when y is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l**2. Let y(v) = 153*v**2. Suppose 0 = -326*s + 822*s - 992. Give s*y(c) - 17*b(c).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 201*z = 3634, 57*z - 26 = 2*h + 26*z + 30*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110000111111001 - -10010001010?\nAnswer: 101110011010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2323, -4045, -6915, -10933, -16099, -22413?\nAnswer: -29875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1493, 1513, 1547, 1595, 1657?\n\"Answer: 7*p**2 - p + 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 9*v**2 + 0*v**3 + 0 - 1\/6*v**4 + 1\/210*v**7 + 1\/40*v**6 + 0*v + 0*v**5. Factor s(g).\nAnswer: g*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h\/h**(2\/21))\/((h\/(h\/(h\/(h*h*h*h*h\/h**(-4\/9)))))\/h**(2\/13))*((h*h**(1\/4))**(1\/5))**(-1\/19) assuming h is positive.\nAnswer: h**(1833053\/311220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.7396ng?\nAnswer: 0.0000047396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26, -7, 2, 1\/58?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -1.98. Let f = 2.98 - z. Let x = -54 - -53. Which is the nearest to x? (a) f (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*m + 1)*(-1 + 1 - 2*m**4) + m**5 - 3*m**5 + m - 3*m.\nAnswer: -8*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u + 20*u = 120. Do u and 70\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.96 + 2.06. Which is the third smallest value? (a) 1\/9 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w - 2. Let f be r(-3). Let s be (-1)\/((2\/(-4))\/f). Let o = -18 - -22. Solve 0 = s*n - 14 + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 64*g + 9201. Calculate f(-145).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.98621 to two dps.\nAnswer: 124.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*a**2 + 1)*(2*a**3 + 3*a**3 - 2*a**3) - 2*a**5 + 2*a**5 - a**5 + a**2 - a**2 - 3*a**5.\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -8, -1\/21, -5 in decreasing order.\nAnswer: 1\/6, -1\/21, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-256)\/12*(-5 + (-175)\/98 - -7)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + u)*(-272 + 406 - 255).\nAnswer: 242*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 1, y: 3}. Give prob of picking 1 f, 1 c, and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2 + u - 7 - 4.\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19323 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22002*5*5\/75. Let o = t + -4025. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iie when three letters picked without replacement from {e: 4, i: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2. Let h(f) = 3*f**2. Let d(l) = -1 - l**2 + 1. Let z(p) = p**3 - 3*p**2 - p + 4. Let y be z(3). Let k(j) = y*h(j) + 2*d(j). Give k(g(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12.1577+13.472\nAnswer: 1.3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -57, -80, -101, -120?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -44749.8.\nAnswer: -894.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3771000 rounded to the nearest ten thousand?\nAnswer: -3770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 42. Calculate j(-26).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 2*v - 6*v)*(-1 - 1 + 1) + (2*v - 6 + 2 + 5)*(5 - 1 - 2) in the form u*v + t and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (414\/24)\/((-2)\/(-8)). Solve g*c - 34*c - 27*c - 6*c**2 + c**3 = 0.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 1. Let s = 71 + -67. Which is the second smallest value? (a) 0.7 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and -67\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 799 + -1280. Let j = o + 773. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:30 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -20*i + 247. Let v be r(13). Let z(g) = -2*g**3 - 33*g**2 - 93*g - 31. Give z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2. Let p(j) = -3*j. Let q(v) = -2*v - 3. Let s(g) = -25*g - 35. Let n(f) = 35*q(f) - 3*s(f). Let c(i) = -4*n(i) - 7*p(i). Give k(c(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 8*z**3 - 5*z**3 + (-z + 0*z + 2*z)*(-2*z - 2*z + 5*z)*(-3 + z + 3).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 42.11. Let c = i - -13.11. Let n be (1 - 1)\/(2*-1). Put n, c, 4 in descending order.\nAnswer: c, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148736749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -311366, -311368, -311370, -311372?\n\"Answer: -2*b - 311364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:58 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-11\/4))\/g**3 assuming g is positive.\nAnswer: g**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 4*i)*(i**3 + 2*i**3 - 2*i**3) + 490*i**4 - 24125*i**2 + 24125*i**2 + 2*i.\nAnswer: 493*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*a - 7*a. Let s be (-3224)\/a - 4\/(-3). Suppose 5*w - 125 = s. What are the prime factors of w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:56 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -447*q**3 + 34*q**2 - 3*q - 174484.\nAnswer: -1341*q**2 + 68*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52059 + -52033. Let q(m) = -154*m**3 - 2*m**2 + 1. Calculate the remainder when q(-1) is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 3*k - 12. Let d(l) = -10*l**2 + 16*l - 59. Let o(g) = -2*d(g) + 11*h(g). Let j(u) = u**2 - u + 9. What is 8*j(q) + 5*o(q)?\nAnswer: -2*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62 from 527.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 37*o - 1. Determine b(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30511534 (base 7) in base 12?\nAnswer: a3417a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19279?\nAnswer: 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23231322 (base 5) to base 4.\nAnswer: -303220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -2. Let i = o - 6. Solve -i - 1 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b + 24. Suppose 0*p - b*p = 25, -p - 5 = n. Suppose m - h - 170 = -m, 3*h = n. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let o = -5.8 + n. Let j = o - -12. What is the third biggest value in -2\/7, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 746147831 and 11?\nAnswer: 746147820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-9))\/(98\/21 - 4). What is the nearest to -0.1 in 3, -5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:19 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q + 9 = 0. Suppose -q*h - 20 = h. Let o(f) = f**2 + 2*f. Let j be o(-2). Which is the biggest value? (a) -2\/13 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*f - 7*f. Suppose -f*o + 14 = 2. Sort o, -2, -5 in decreasing order.\nAnswer: o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3) + (-7)\/(126\/12). Let t be (-1878)\/((-3 - -1) + n). Suppose 3*u = 2*j - 1277, 0*j = -3*j - 3*u + t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113224213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/2016 + j**6\/10 - 9*j**4 - 17*j**2 - 4. Factor u(n).\nAnswer: -n*(n - 6)**2*(n + 6)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140320 or 10804736\/77?\nAnswer: 140320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1681 and 387.\nAnswer: 65.0547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 29*v - 74)*(-15*v**2 - 10*v**2 + 11*v**2) to o*v**3 + j + z*v + i*v**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 196899.6kg?\nAnswer: 196899600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/4 - 25605*f**4\/4 - 3457842*f**3 - 473727505*f**2 - 470276064*f = 0.\nAnswer: -25056, -274, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -821200 divided by 6?\nAnswer: -410600\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 16 = -8, 10 = -2*v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1217, -2424, -3629, -4832, -6033, -7232, -8429?\nAnswer: -9624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24315?\nAnswer: 3, 5, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 9 + 14)*(2 + 0 + 4)*(-3*r + 7*r - 2*r + 2*r + 0 + 0 + (-r - r + 3*r)*(3 - 2 + 1) + 4 - r - 4).\nAnswer: 570*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**5\/4 + 10*f**4\/3 + 160*f**3\/3 - 1280*f**2 + 92*f + 5. Factor t(g).\nAnswer: -5*(g - 8)**2*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-18))\/(u\/(u*u*u**(-24)\/u)*u))\/(u**(4\/9)*u**(-15)) assuming u is positive.\nAnswer: u**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3747472 minus 2501.9968?\nAnswer: -3749973.9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2\/2 + 111*c\/2 + 117 = 0.\nAnswer: -2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*169599\/(-21). Let i = p + 4041. Calculate the common denominator of -5\/22 and i.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyxyyx. What is prob of sequence xy?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 75?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*t - 15 = 0, -3*t - 6 = -0*t. Suppose 0*o - 5*y + 32 = 2*o, -3*o = 5*y - 38. Calculate the remainder when o is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 69 + (-661 - -678) + (-12 - 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + x - 23, -267 = 3*d + 2*x - 308 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2245 - 2250. Suppose -66 = y - 28. Let i be 6\/21 - y\/14. What is the closest to 1 in m, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 4*r + 26. Does 39 divide p(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1, -3, -4 in increasing order.\nAnswer: -4, -3, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 239 (base 11) to base 10\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -5, -8, -13?\n\"Answer: -j**2 + 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 11*p + 9 as y*p + g and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - 0.008941502?\nAnswer: 80.991058498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*h + 32 = 0, 12 = 3*k - 4*h - 14. Suppose -3*s + 4*y = 14, 0 = 5*s - y - 6 + 1. Solve -s*f = -0 - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 12. Let h(y) = -y**3 + 11*y**2 - 9*y + 5. Let p be h(10). Let x be a(p). What is the first derivative of -4*c + 6 + x - 3 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -8) + -1 + 25 + -16 + 11 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 970893\/63045 - 3\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 3\/5, 0.2, -456, -128, -4?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 19988238 and 19988239 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 394*n**2 + 193*n**2 + 202*n**2 + 5. Let p be c(0). Put -1, p, 1 in increasing order.\nAnswer: -1, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -3\/4, 5, -2, -0.0086.\nAnswer: -2, -3\/4, -0.0086, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258154 = -4048*g - 137933 - 37049 for g.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*a**2 - 10*a**2 + 46*a**2 + (0*a - 4*a + a)*(-2*a + 2*a - 3*a) - 2 - 2*a**2 + 2.\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = p - 1271, -10*p - 628 = -2*g - 8*p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11365 is divided by 122?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69223487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 189109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-6\/11)*u*u*u**(1\/19)*(u**(-27)\/u*u)**(13\/5) assuming u is positive.\nAnswer: u**(-69599\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.1116, 0.16, 0.3.\nAnswer: -0.1116, 0.16, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/8)\/((-675)\/147130). Let i = -1528\/9 + n. Find the common denominator of 21\/2 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 6 - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4153 and 4454549738.\nAnswer: 4454553891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {i: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -421642735, -843285473, -1264928211?\n\"Answer: -421642738*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) 1\/7 (c) 1\/2 (d) 2 (e) -3\/5 (f) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33031 (base 5) to base 10.\nAnswer: -2266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 3133524.\nAnswer: 21934668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + ((-5056)\/(-88))\/(-8). Sort w, -4, 0.06 in decreasing order.\nAnswer: 0.06, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 89*k**2 + 2269*k - 189922. What is b(91)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 57 and -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1168, -2236, -3144, -3814, -4168, -4128?\n\"Answer: 13*k**3 + 2*k**2 - 1165*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 0*i)*(3*i - 3*i + i)*(6*i**3 + 17*i**3 - 9*i**3).\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 2 - 2 + (-2*m + 0*m + 3*m)*(3 - 2*m**2 - 3) + 20*m - 4*m**3 - 20*m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 150, 9, 4, 185 in decreasing order.\nAnswer: 185, 150, 9, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5753, 11481, 17243, 23057, 28941, 34913?\n\"Answer: 3*y**3 - y**2 + 5710*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/6 - (8 + 6). Which is the fourth biggest value? (a) 2\/23 (b) -0.5 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u + 309 - 384 = 1199 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 4*q + q. Suppose 8 = 4*k - h, -4 = -2*k + 14*h - 12*h. Let f be k\/(-4) - q\/(-124). Which is bigger: 0.2 or f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*x = -420 - 600, -3*x = -5*h + 1030. Suppose 4*d = d + 57. Calculate the highest common divisor of d and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + ((-3*sqrt(80))\/sqrt(8) - sqrt(10))\/((sqrt(45)*3)\/sqrt(9))))**2.\nAnswer: 24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 61 = t. What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -196 + 196 - 27*o in the form s + d*o and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -q - 5*x, 4*q + 4*x - 237 = -209 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -1\/89670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.633?\nAnswer: -0.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 30374*r - 4218. Let p be d(17). What is p rounded to the nearest one thousand?\nAnswer: 512000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-15)*(-900)\/630.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15941 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*40\/(-25). Let m be 2\/2*(-2 - h\/1). Which is the biggest value? (a) 0 (b) -4 (c) -0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l**(-2\/15)\/l*l)))**(-20))**34)**(3\/26) assuming l is positive.\nAnswer: l**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39\/2*z**3 - 1\/2*z**4 + 648 - 414*z - 214*z**2.\nAnswer: -(z - 1)*(z + 4)*(z + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13879631 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**8\/28 - t**4\/6 - 5*t**2. Find the second derivative of h(y) wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -488*x**3 - 263*x**2 + 6*x + 3. Let j(m) = -493*m**3 - 263*m**2 + 4*m + 2. Let g(z) = -6*j(z) + 4*y(z). Find the third derivative of g(v) wrt v.\nAnswer: 6036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 687, 685, 681, 675, 667?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 53*l - 68820. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 8)\/(-2)*(379*(-2)\/(-63) + -12)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (23 - (-4 - -48) - -73).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let x = -0.5 + 0.3. What is the biggest value in g, x, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5127 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7*x**5\/20 + 2*x**4\/3 - x. What is the third derivative of z(w) wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4702193 is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:35 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 37 + 13 + -27?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/3 - 268*d\/3 + 1520.\nAnswer: 2*(d - 114)*(d - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 6) + 7 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8409 or 8417?\nAnswer: 8409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/7 (b) 2 (c) -0.5 (d) 3\/7 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(6\/13)\/((v\/v**(1\/5))\/v**2))\/((v**0)**(1\/7))**8 assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.519022 + 3.16896. Let h = -0.43 - -0.08. Let k = b - h. Round k to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/327 and -26\/633.\nAnswer: 68997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 3 (c) 4 (d) -438 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.79 take away -3.749?\nAnswer: -15.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 1. Let s(c) = -5*c + 7. Let j(d) = -2*l(d) + s(d). Suppose -h = 3*g - 4*g - 9, 4*h + 5*g = 0. Calculate j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = r, -c + r - 6 + 4 = 0. Is 21 a factor of c*-3*(2 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -35, -24, -9?\n\"Answer: 2*s**2 + s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 5. Let q be (-2)\/(-3) + i\/(-6). Suppose -15 = -2*v + q. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, -2, -4 in increasing order.\nAnswer: -15, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.231191 - 0.531192. Let z = k + -0.7. Round z to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 447161, 894320, 1341479?\n\"Answer: 447159*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)*g*g*g**(-1\/5)\/g)**27\/(((g\/(g\/g**(-2\/5)))\/g**(-3))\/(g**(-2\/5))**(-9\/7)) assuming g is positive.\nAnswer: g**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1759, -3373, -4975, -6559, -8119?\n\"Answer: q**3 - 1621*q - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2048 divide 223973376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/26 and -95\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0099 + -0.7601. Let g = 1.3 - 1.98. Let c = g - v. What is the second biggest value in 2\/5, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63252087 to four decimal places.\nAnswer: -0.6325","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 32*o - 219. Let i be r(-12). Let x(m) = m - 1. Let j be x(-7). Let l = i - j. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -5310, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 + 114. Let t be ((-17313)\/116)\/(k\/16). Suppose 14*p = 10*p + t. What are the prime factors of p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -h + 192, -2*h - v = -30 - 309. Suppose -5*d + h = 17. Suppose 6*m - 101 - d = 0. What is the lowest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 4*q - 30. Suppose -747 = 24*a - 369 - 426. Let z(w) = -2*w**2 + 9*w + 61. What is a*z(u) + 5*n(u)?\nAnswer: u**2 - 2*u - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and 44.3.\nAnswer: -2525.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73331 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j**2 + 1. Let q(u) = 2*u**3 + 15*u**2 + 9*u - 3. Calculate 3*d(v) + q(v).\nAnswer: 2*v**3 + 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 + -371. Let k = -88 - q. What is the remainder when 177 is divided by k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13394 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -50a78 (base 15) to base 8\nAnswer: -763000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 4, -4.\nAnswer: -4, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 + 108. Solve w = 2*o + 29 - 31 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d. Suppose 4*b + 2*c = 20, -c = -b - 5*c + 5. Suppose -b*s - 9 = 11, -3*x - 2*s - 8 = 0. Calculate w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 + 4*d**2 - 6*d - 2. Let u(a) = -11*a**2 - 128*a**3 + 17*a + 5 + 94*a**3 + 20*a**3. Calculate 11*s(f) + 4*u(f).\nAnswer: -f**3 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/21)\/(5511\/25718).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -0.347387.\nAnswer: 0.02084322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6*d**2 - 6*d - 52. Let f be x(-5). Solve 0 = -s + f - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkn when three letters picked without replacement from kgnbrgnk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 11:28 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173541 and 4.\nAnswer: 694164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 33 + (7 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 3459.\nAnswer: -103.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 - 3*h + 14*h**3 + 7*h**3 + 6*h**3 + 5*h**2 - 31*h**3 + 9. What is f(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, 34, -40, -1, 4 in ascending order.\nAnswer: -40, -1, 3, 4, 16, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*v = 4, -2*j - v - 4*v = 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -6\/25, 2, 3, -14\/3 in descending order.\nAnswer: 3, 2, 1, -6\/25, -14\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*n + 50*n - 612. Let b = -398 + n. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 5)*(-p + 3*p - 4*p)*(2*p**3 - p**3 - 3*p**3).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43987689 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 8) in base 12?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 2) + -5 - -27. Suppose -2*j + w = -k, 4 + 11 = 3*j. Let o be k\/14 - -2*2\/4. Which is the third smallest value? (a) -2\/5 (b) o (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-24))\/((-6)\/(-8))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/((-2)\/4*2). Let i be (2\/(-7))\/(z\/35). Suppose o = -i*q + 7 + 11, -2*o = 8. What is the greatest common divisor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656312 (base 13) in base 3?\nAnswer: 11111010121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 11. Let h(t) = -t + 1. Let w(x) = -4*h(x) - z(x). Let y(s) = 2*s + 5. Let d(p) = 5*w(p) - 7*y(p). Determine d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10633 is divided by 3533?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34447159*0.1\nAnswer: 3444715.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/77 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -1. Suppose 4*h - 4 = 5*g, 2*g = h + 2*h + 4. What is the third biggest value in 4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-105) - (-4)\/14)*0. Solve w*r = -4*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4214132 or 4214128?\nAnswer: 4214132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*a = 0, 19*k - a + 5 = 14*k. Let i(r) = 2184*r. Let v(g) = -19*g. What is k*i(t) - 231*v(t)?\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814445873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 8*i + 10. Let k be d(6). What are the prime factors of (k\/4)\/((-3)\/258)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**9*(f\/((f\/((f**(2\/11)*f)\/f)*f)\/f)*f)\/(f\/(f*f**(-1\/2)*f)) assuming f is positive.\nAnswer: f**(581\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0 + 1\/12*a**4 - 1\/112*a**8 + 0*a**3 + 2*a**2 + 0*a**5 + 0*a**6 + 0*a**7 + 0*a. Find the second derivative of g(l) wrt l.\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(228\/(-224)) - (2 + -5)*-1. Which is the biggest value? (a) 1\/92 (b) -2\/9 (c) 0 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000572691834 to six decimal places.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(57\/(-684))\/((3\/2)\/((-3)\/(-7)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/1643? (a) 0.3 (b) -6\/7 (c) -2\/13 (d) -3\/8 (e) -0.1 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -636\/805931 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 2*h**2 + 4*h**2)*(-2*h + 10*h - 25*h + (2 + 1 + 1)*(-3*h + 3*h + 2*h)).\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14722605 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 6760 = 9*w. Let h = 333 - w. Let v(s) = s**2 + 2*s - 3. What is v(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b9c (base 13) in base 12?\nAnswer: 4b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6635*j - 20 = 6630*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -735 in -0.2, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 6*b**2 + 4*b**3 + 3*b**3 - 6 + b**3. Let z(r) = 13*r**3 - 11*r**2 - 11. Calculate -11*k(a) + 6*z(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 886947, 1773893, 2660839, 3547785?\n\"Answer: 886946*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 33*f**2 + 3*f + 102. Determine z(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from hfvbvvp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + t - 16, t = -i + 49. Suppose -3*n + 25 + 61 = 5*k, k + i = 2*n. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + x + 42. Suppose c - 3*c - i = -3, 4*i = -5*c + 12. List the prime factors of d(c).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-594)\/120)\/((-1)\/2 - 1) and 119\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -2, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 6.83907.\nAnswer: 6.87907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 17115*x + 315. Let c(s) = -109*s - 2. What is 630*c(w) + 4*z(w)?\nAnswer: -210*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 327665951 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9647 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41552596*x**4 + 5*x - 2425251?\nAnswer: 498631152*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -9, -86, -1\/127?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50402 and 5597.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1789922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 25. Calculate the remainder when 27 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.61138 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 944 + -1503. Let p = l + 598. Solve 10*o + p = -1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1805*r**4 - 6*r**2 + 23036*r - 2 wrt r?\nAnswer: -21660*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3749970 divided by 25510\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 134\/(-12) - (-7)\/14. Let a be (-1816)\/56*(-2)\/6. Let t = a + x. What is the smallest value in 4, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5\/2*p**2 + 9 + 0*p**4 + 0*p**3 - 4*p - 84\/5*p**5. Find the second derivative of y(q) wrt q.\nAnswer: -1008*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 67*u + 1. Let c be t(3). Let j be (-7)\/35 + -2*c\/(-20). List the prime factors of 161 - ((-8)\/20)\/((-4)\/j).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5730 = 2*k, -3225 + 356 = -2*h - 3*k. Let b = h + -888. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-226)\/(-1243))\/((-6)\/22))\/(((-620)\/(-15))\/(-2))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - 93*o - 1295. What is n(-38)?\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*c = -12, 7 = -3*c - 2. Suppose 0 = 2*m - a*m - 16. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0744426 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-32)\/8)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111010010100 (base 2) to base 16\nAnswer: e94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 74, -2\/13595 in descending order.\nAnswer: 74, -2\/13595, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r**(-6))**(-2\/83) assuming r is positive.\nAnswer: r**(28\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -932*c + 169619. Give i(182).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242320 + 60186 = -38*x. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 908 + -903. Solve -w = -n, -4*w + w + j*n = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 2, o: 7}. What is prob of sequence ohb?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-2\/41)*p)**(-1\/2) assuming p is positive.\nAnswer: p**(-121\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igli when four letters picked without replacement from {l: 6, g: 3, i: 2, x: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/660*-2)\/((-2)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 2, -3, -21, 191?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*g - 16*g + 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-40) + (-992)\/210. Let g = -2\/259 + -2843\/777. Let r = g - d. Is 2 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(33) - (sqrt(528) + (sqrt(528)*3 - sqrt(528))))\/(sqrt(3) + -2*(sqrt(3) + (sqrt(48) - sqrt(3))) + (sqrt(324) - sqrt(9))\/sqrt(3)) + 5)**2.\nAnswer: 105*sqrt(11) + 4951\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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 d(v) = 2*v**2 + 9*v + 8. Let l be d(-3). Put 0, l, -4, 3 in descending order.\nAnswer: 3, 0, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -6*t + 22*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*i = j + 14, 38 = 3*j - 4*i. Suppose -j - 21 = -g. Suppose -2*a + 45 = 3*v + a, -80 = -3*v + 4*a. What is the remainder when g is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12033310 (base 5) to base 10.\nAnswer: 111705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1097 times -3435.6\nAnswer: -3768853.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35*157\/((-16485)\/75)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + w = 543, -b - 6*w = -3*w - 117. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - 2) - (-228 - -232) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10258.454 to the nearest 10.\nAnswer: -10260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57167 less than 57165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9\/((-3)\/(-6) - (-4 - -3)) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23924 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -2\/7 (c) 0.4 (d) 248.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**3 - 15*o**2 + 4*o + 2. Let q(v) = -22*v**3 - 29*v**2 + 9*v + 4. Give 9*j(u) - 4*q(u).\nAnswer: -2*u**3 - 19*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -116*q + 119*q - 2024, -2*q + 1381 = 3*a. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 385 + -205. Differentiate z*v**3 + 30 + 92 - 230 with respect to v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 293, 277, 235, 155, 25, -167?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -54, -66, -80, -96, -114?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a**3 + 4*a**2 - 14*a + 22. Suppose -3*w + 19 = i, -5*w - 150 = -5*i + 5. Calculate the remainder when q(2) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3*o. Let c = 0.2 - -0.8. Sort -3, c, o in descending order.\nAnswer: c, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -1\/5, 65, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*h, a - 2*a - 12*h - 12 = 11*h - 25*h for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233*f**4*l - 725*f**2*l + 24955*l wrt f.\nAnswer: 932*f**3*l - 1450*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 137054256 divided by 94\nAnswer: 1458024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((sqrt(189)\/sqrt(3))\/sqrt(9)) - -2*(sqrt(7) + sqrt(7) + -2 + sqrt(7)*-2))**2.\nAnswer: -8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let y(d) be the second derivative of 1\/2*d**3 + 0 + 117*d - d**2. Determine y(l(i)).\nAnswer: 9*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4 + m + 1 - 2. Suppose 2660 = 141*s - 131*s. Let c be s\/49 + 6\/(-14). Determine d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s + s)*(-4*s**2 - 4 + 2*s**2 + 6).\nAnswer: -2*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 82 + 4 = 0. Let f = -82 - t. What is the first derivative of -10*l**4 + 1 - 11*l**f - 2 wrt l?\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -56636314?\nAnswer: -56636307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2114 = 2*o - 5*o + c, -2*c = -3*o + 2110. List the prime factors of o.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110260311 to the nearest integer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 + 7*w**2 - 2*w + 16. What is h(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((-2)\/(-24))\/((-80)\/64)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.93 - -9.17. Let o = -6.9 + -3.1. Let h = z + o. Sort 4, -4\/5, h in ascending order.\nAnswer: -4\/5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 13, 0, -71, 5, -5, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5*p + 44961*g**5 + 92*g**2*p - 4*g**2 - 2*g*p - 7*g wrt g?\nAnswer: 120*g**2*p + 2697660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 3133, 5, -3.\nAnswer: -5, -3, -1, 3, 5, 3133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.6 (b) 0.1 (c) -0.7 (d) -4 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -46, -22, 1, -7, 0 in decreasing order.\nAnswer: 1, 0, -1, -7, -22, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-12)\/(-96)*-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -475.6 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**2 - 5665*o + 15663. Calculate m(433).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -i - 4*u + 1, 37 = 5*i - 3*u. Suppose i*l = 47 + 113. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -2 - (25 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/3)\/(p*p**3)*p**(1\/11)\/p**(-5\/3) assuming p is positive.\nAnswer: p**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z**2 - z**2 - 13*z**2 + 20*z**2 + z**2. Let n(v) = 2*v**2 - v + 451. Determine n(d(p)).\nAnswer: 2*p**4 + p**2 + 451","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxjnxrqqjrrsqrjrr. Give prob of sequence xsn.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1315 + -1314.5. Put 245, s, -4 in descending order.\nAnswer: 245, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-121)\/(-3) - (-5)\/(-15). Find the third derivative of -n - 17*m**2 + 7*m**5 + 40 wrt m.\nAnswer: 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 9. Suppose -13 = -5*t + m. Let i(a) = a**2 - a + 7. Calculate the remainder when i(0) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(173 - 173 - 8*f**3)*(1393*f - 1393*f - 14*f**2).\nAnswer: 112*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qxxqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 1. Suppose 1 - 7 = -2*o, -3*o + 194 = -5*n. Let q = 37 + n. Suppose -4*d = -q - 12. Let l(r) = r. Calculate d*l(f) - 2*i(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 - 3*s**3 + 5*s**3)*(4192 - 1561 - 1564) + (2*s - 2*s - 6*s)*(s - s + s**2) as z*s**3 + v*s**2 + q + g*s and give z.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*c + 11*c**2 - 5*c**2 + 27*c**2 - 27*c as f*c + n*c**2 + g and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052\/81 at least as big as 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/60 + 1987*a**3\/15 - 3948169*a**2\/10 + 5275*a. Find r, given that o(r) = 0.\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -248308?\nAnswer: 248303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -112000 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 9 - 16)*((3 + 0 - 1)*(0 + 4 - 2) - 2 + 1 + 0 + 4 + 4 - 4)*(3*j + 0*j - j) as w*j + c and give w.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 12 - 26 - 12*a**2 in the form o + l*a + w*a**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 4*s + 4. Suppose -12 = 22*v - 26*v. Calculate the remainder when (-2 - 40\/(-3))*3 is divided by o(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 8*o + 49*o**3 - 23*o**3 - 24*o**3 - 3*o to z*o**3 + j + y*o + m*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (33 + (14 - 14))) + -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79812484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -373, -1909, -3433, -4939, -6421, -7873, -9289?\n\"Answer: s**3 - 1543*s + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 5) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 12*k**2 + 2*k + 9. Let y be l(-6). Let p = y - 51. Let q = -25 - p. Calculate the greatest common factor of 58 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3036 and 4835094.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - 24\/(-28)). Let y be -3 + (l - 1) + -1. Solve -3*b + b - y = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1053) + sqrt(1053) + -1)**2 + (4 + (sqrt(1053) - (1 + sqrt(1053))))**2 - (1 + 2*sqrt(1053) - (5 + (sqrt(1053)*-2 + sqrt(1053))**2)).\nAnswer: -54*sqrt(13) + 5279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/105*25)\/((-30)\/(-2205)*21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 4. Suppose 7*w = 2*w - 40. What are the prime factors of d(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5403 is divided by 732.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106.047 + 106. What is u rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.01 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 18.\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-2\/3)*l)*l)\/l*l**(1\/4)*(l**0)**(-4\/25)*(l**0)**34\/((l\/(l*l**(-1\/2)*l*l))\/l)**(-11) assuming l is positive.\nAnswer: l**(-319\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 869 divide 337172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*t + 8 = -4*w + 70*t, -2*w = -t + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46016 divided by -32.\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**3 - 925250*v + 925250*v + v**2 - 3*v**2 - 8*v**2 + 50*v**3.\nAnswer: 2*v**3 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*q - 4*f - 5, f - 3 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m. Let r(i) = 5*i - 6*i + 33 - 9. Let j be r(23). What is z(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2576369 (base 12) to base 7.\nAnswer: -116443116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 1*(-2 - 2). Let o(g) = -m*g + 0*g - 228 + g**2 + 224. Determine o(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -52*i - 272*i**5 + 274*i**5 - 49*i**4 + 564*i + 408*i**3 - 1216*i**2 = 0.\nAnswer: 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - -2 - 7 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.138 + -4.862. Which is the nearest to 0.1? (a) u (b) -1\/24 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.31 times -998?\nAnswer: 197913.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j + 4. Let o be (3 - 0) + (-15 - -12). Suppose 0 = -2*i - h + 16, i + 2*h - 8 - 6 = o. What is c(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose 0 = j*s - 5*u - 1373, -2*u + 2116 - 441 = 5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-12)*(r\/r**(-1\/2)*r*r)**(-26) assuming r is positive.\nAnswer: r**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 9*u - 508. Let t be h(11). Solve -102*z - 189 = -t*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 5*o - 5. Let f(i) = -i**2 - i - 1. Let y(k) = -5*f(k) + m(k). Suppose -33 + 9 = -4*r. Let n(q) = -4*q + 0*q - r*q + 4*q. What is n(y(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 6*s**3\/7 + 647832*s**2\/7 - 22062702*s + 1313452980 = 0.\nAnswer: -108210, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooouuqv. What is prob of picking 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-6\/11)*v)*(v*v**(-2\/9))\/v assuming v is positive.\nAnswer: v**(32\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p**2 - 2*p. Let z be y(3). What is the units digit of z\/(-3 + 1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -607511 or -7290149\/12?\nAnswer: -607511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19888513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1033910 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (18\/(-10))\/(1\/(-25)) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-4 - -10 - 24 - (64 + -79))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 13*f + 4. Let q be n(-13). Suppose -k + q*k - 16 = -4*i, 3 = k - i. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2520*i**2 + 11*i - 5. Let z(b) = -504*b**2 + 2*b - 1. What is 2*x(j) - 11*z(j)?\nAnswer: 504*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from smjspszjpmsmqzq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 3. Let c be 1*71\/1 - -2. Suppose 5*j - c + 9 = 4*l, 4*j - 51 = 3*l. Let p be ((-8)\/j)\/((-2)\/9). Determine u(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**3*i))**(-24)*(i\/i**(-3))\/i*i*(i*i*i\/(i*i**(-2\/7)))\/i assuming i is positive.\nAnswer: i**(541\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.72 (c) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p - 12. Let z be (-5 - -5 - -2) + p. Let x(i) = -i**2 - 6*i - 5. Let l be x(-4). Solve o + l = -z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 + 1323\/135. Calculate the greatest common factor of p and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 - 2*x**3 - x**2\/2 + 1. Let j be 1046\/(-10) + 28\/(-70). Let f be 660\/j + 4\/14. What is s(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017.7 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaaaaaaaz. What is prob of sequence azz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26229290.\nAnswer: 2, 5, 47, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -u - 2*u. Suppose 5*l + 3*g = u, -2*l = -l + 4*g. Suppose 5*c = 3*d - 10364, -11*d = -9*d - l*c - 6910. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 8 = -46 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 2. Let o be (-2 + 2)\/(3\/3). Let b = o + l. Solve -3*d = 3*i - 9 - 18, 0 = d - b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 93 - 7. Solve 0*r + 20 = -4*r + d, -5*r - k = 5*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136190246 and 6276?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-68)*17)\/(123\/24)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-191)\/(233211\/444)*418\/(-4)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.021938 months to years.\nAnswer: 1.8351615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.555577ug?\nAnswer: 0.000000000001555577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 1018311*g + 509149*g + 509178*g.\nAnswer: g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18122677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 199416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 141532754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4\/11, -623, -50?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 24814678.\nAnswer: -24814678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 + 176 = 13*o. Let i be 4\/(-6) + (-152)\/(-3). Let g = i + o. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 75582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -21b1ba?\nAnswer: -21b217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:02 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8675541 millilitres to litres.\nAnswer: 0.0008675541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f. Let d(z) = 8*z**2 + 22281 - 22281. Determine d(c(j)).\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2*5952\/18 - 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-138)\/(-22) + -3)*(-3)\/(-6) and 119\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 + 6*a + 179 - 3*a - 159 - 153.\nAnswer: 3*a - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363.\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -96*a**2. Let w(m) be the second derivative of 37*m**4\/12 + 5635*m. Give j(w(h)).\nAnswer: -131424*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 2*t - 3. Let j be (9 - (7 + -4)) + -3. Let v(k) = k**2 - 1. Determine j*v(a) - o(a).\nAnswer: a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003363023062 rounded to 5 dps?\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 18, p: 1}. Give prob of sequence nnn.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 26*z - 37. Calculate f(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -464*w + 158*w + 502*w + 941*w as c + h*w and give h.\nAnswer: 1137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167354.\nAnswer: 2, 11, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26733, -26832, -26991, -27210, -27489, -27828?\nAnswer: -28227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 10289226.15s?\nAnswer: 17.012609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 - 2*h + 24 - 93)*(2 + 4 - 4) - 4*h - 55 + 55.\nAnswer: -8*h - 464","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 746800 = -i + i. What are the prime factors of i?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-117) - (-130)\/(-198))\/((-6)\/(-4)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s**2. Let l = 38 + -36. Let p be 2\/(-4)*4 + l. Let x(o) = -6*o + p*o + o + o. Give k(x(q)).\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poup when four letters picked without replacement from {p: 2, g: 1, u: 1, o: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*l + 637 = 205. Let h be 22\/5 - (-4)\/(-10). Solve -h*w + 2*t = 4*t + 2, -1 = 3*w + l*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(-3*sqrt(24)\/sqrt(4)))**2 - ((1 + sqrt(17))*-6 - (sqrt(17) + 1 + sqrt(17) + -3)**2).\nAnswer: -2*sqrt(17) + 719\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101100000 (base 2) to base 16.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 226 + -127. Suppose 4*v - 3*f = -17 - i, 92 = -3*v + f. Let g be (8\/v)\/(7\/6 - 1). Which is the nearest to -1? (a) -4\/3 (b) g (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103680.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -70*q**3 - 14 - 14*q - 51*q**2 + 18*q**2 + 16*q**2 + 11*q**2. Let h be o(13). Round h to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + 1)*(0 - -1). Let w(q) = 16*q - 12. Let a be w(p). Suppose 3*t + t - a = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1822))\/((-150)\/(-360))*5. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 5, 3, 233 in descending order.\nAnswer: 233, 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 23*u**2 - 5. Suppose 11*z + 20*z = -42*z + 365. Let w(x) = -12*x**2 + 2. Calculate z*w(s) + 2*v(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 2*k + 1. Let u = 26 - 31. Let v(a) = 3*a**2 + 4*a + 1. Calculate u*z(b) + 3*v(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 14*c - 3. Let b be w(7). Let o = 82 - b. Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65994193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4283640 is divided by 584.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8542 - 8540. Let x(p) be the first derivative of -160*p**c - 40\/3*p**3 - 3 - 5\/12*p**4 - 2560\/3*p. Let x(g) = 0. What is g?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17058, -18856, -21858, -26064?\n\"Answer: -602*k**2 + 8*k - 16464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2337 is divided by 99?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7583 (b) -12\/11 (c) -0.1 (d) -3\/74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 8:21 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 985 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 1. Let c be (-48)\/(-36)*(-6)\/4. Let w(y) = 1. Let m(n) = c*w(n) + u(n). Differentiate m(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -491301 and 0.35?\nAnswer: -171955.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 minutes before 11:02 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3810 and 42216705.\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13.63272 litres?\nAnswer: 13632.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(-48) + 3\/(-24)*-6)\/(138\/45)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 71 = -74, 5*t + i + 2*i + 27 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6*(-468)\/(39\/3). Let i be -3*(4\/2 + -4). Let z be (-20)\/(-6) - (-4)\/i. Solve m - z*m = -k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 5. Let u be h(-2). Suppose -3*y = 2*x - 20, x - 14 = -u*y + 5. Suppose -3*w = l - 2*l - y, l = -4*w + 8. Solve -5*k + l*k + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:04 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (160*p + 10*p + 110*p - 13*p)*(4 + 25 + 3) in the form b*p + q and give b.\nAnswer: 8544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**2 + 23*s**2 + 13 - 122*s**2 + 71*s**2.\nAnswer: -4*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61791 is divided by 3391.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6 - (-22)\/(-6). Let a(b) = b**3 + 4*b**2 + 7*b - 8. Let s(q) = q**3 + 4*q**2 + 6*q - 7. Let n(j) = -4*a(j) + 5*s(j). What is n(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 < 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*g**3 - 3*g**3 - 38*g**3 + (3*g**3 - 3*g**3 - g**3)*((4 - 2 - 4)*(2 + 0 - 1) + (1 - 1 + 2)*(-2 + 3 - 8)).\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 - 0.02. Let u = t + -0.2. Let v = 0 + -0.2. Which is the nearest to u? (a) 1 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 587 + 64 + 4*c)*(4*c + 3*c**2 - 4*c).\nAnswer: 15*c**3 - 1569*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 937466801 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + (1 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 553342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33834 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 3*i**2 + 7*i - 2. Let j be q(-5). Suppose 3*v = 47 + j. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*c + 7 = 0. Which is smaller: c or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9) - 0)*((-1785)\/660 + 8\/32)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1050*c - 1053*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.25735 + -8?\nAnswer: -35.25735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Suppose -5*c + 59 = -5*o + 9, -4*c - 3*o = -19. Let g(f) = 6*f - 18. Let u(j) = 4*j - 12. Let k(m) = c*u(m) - 5*g(m). Determine k(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0655056 and 5?\nAnswer: -0.327528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4267206?\nAnswer: 2, 3, 237067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/77 - ((-78)\/(-936) + 7214\/(-168)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177213516 is divided by 56294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11626442 (base 9) in base 6?\nAnswer: -321514402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - -1*sqrt(70))*6)\/(sqrt(1210)*2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*o + 36, 0*o - 18 = 3*o - 3*r. Let j(w) = w**3 + 10*w**2 + 16*w - 2. Give j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.402 (b) 2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in -0.1, -192225, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 91*i**2 - 2*i. Let m be d(1). Let a = 314 - m. What is the greatest common divisor of a and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.7. Let z = -941285\/13 + 72407. Which is the fourth smallest value? (a) z (b) -4 (c) w (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1265, -1169, -917, -431, 367, 1555?\n\"Answer: 13*g**3 + 5*g - 1283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 53, -97, -365, -751, -1255?\nAnswer: -1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:16 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9018545?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*z**2 - 37*d**2*z - 17*d*z**2 + 2*d*z - z**3 + z wrt z.\nAnswer: 2*d**2 - 34*d - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22038 + 669 + 134975*v**2 + 522*v - 134972*v**2 = 0 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -4)\/((-4)\/76). Suppose -13 = 3*n - w. Let k = -79 + 79. Which is the closest to k? (a) n (b) -2\/39 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/((-1219)\/23)*3\/((-39)\/(-4)).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 0.1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*r - 80913 - 53023 = 0 for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/631, -3\/5, -13, 5, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (13 - (13 + 3 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1085*v**2 - 12*v + 2 + 12*v to the form w*v**2 + p + s*v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.313 - -45.687. Let w = k + -47. Which is the third biggest value? (a) 2 (b) 2\/7 (c) 1\/5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2156) + -3 + sqrt(2156).\nAnswer: -3 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -745*o - 1110 = -782*o. Calculate the smallest common multiple of o and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -11\/147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190644 minus 0?\nAnswer: 190644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {e: 6, x: 1, m: 3, z: 1, f: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 99, 378, 929, 1842, 3207, 5114?\n\"Answer: 15*v**3 + v**2 - 11*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1166\/27 greater than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o + 5*t + 29, -4*o - 23 = 3*t. Let a be 1 + o*2\/8. Sort a, -3, -4 in descending order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - s + 6*s = 16, 2*s = -5*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2\/3 + 1606*j\/3 - 11144\/3 = 0.\nAnswer: 7, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -72. Let q = -14 + 22. Calculate the least common multiple of q and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, l: 9}. Give prob of picking 1 l and 2 z.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 + 19*j - 6*j - 17*j + 2*j.\nAnswer: 22*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 + (-24)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x + 4 - 4 + 3*x + 0*x - 2*x - 4*x + x + x - x - x + 0*x + (2*x - 4*x + x)*(-2 + 0 + 4) + (1 + 1 + 0)*(x - 1 + 1) in the form h*x + f and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295 and 4504119.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 5*a - 3. Suppose -25*n + 23*n + 276 = 0. Let b be 60\/(-105) - n\/(-21). Give m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103885498109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000428 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -34009*s + 6529729. Determine p(192).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-1) - 52\/(-104)*34?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283138182 to the power of 1\/2, to the nearest integer?\nAnswer: 16827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-186.7\nAnswer: -7.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2 - 11*p**2 + 7 + 25*p + 5*p**2 + 0. Determine d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -4, 46, 168, 392, 748, 1266?\n\"Answer: 5*t**3 - 9*t**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, z: 3, h: 4, r: 1}. Give prob of picking 1 z and 1 h.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 5*j + 3. Let b(g) = -9*g**3 + g**2 - 1. Let l be b(1). Let q = l - -6. Is r(q) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m + 4*m**2 + 120 - 2*m + 53 - 5*m**2 + 30 in the form n*m**2 + h + d*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c**2\/c))\/(c*c**(-1\/7)*c*c**6) assuming c is positive.\nAnswer: c**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + r**2 + 3*r + 10. Calculate u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/5)*k**(5\/3))\/(k**(-2)*k*k\/k**(-3\/4)))**42 assuming k is positive.\nAnswer: k**(301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5822, 18330, 37514, 63362, 95862, 135002, 180770?\nAnswer: 233154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.935 + 8. Let v = -0.034 + j. Round v to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 28 - 124*d - 50)*(0*d - 4*d + 5*d).\nAnswer: -124*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1, -4 in descending order.\nAnswer: 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*z + 127*z - 7*z**3 - 253*z.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:44 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 364703 or 6929342\/19?\nAnswer: 364703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-2*sqrt(128) - sqrt(128)) + (0 + (sqrt(63) - sqrt(7)))*4)**2 - (-2 + (sqrt(14)\/sqrt(2)*-3)**2 + sqrt(7) + sqrt(7)*-2 + 3).\nAnswer: sqrt(7) + 218503\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/8 - 2\/4. Put h, 2, 1\/3 in descending order.\nAnswer: h, 2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = j - 26. Suppose -j*y + 19*y = 249. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 minus -0.04354168842?\nAnswer: 0.01354168842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -12?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 51 + 37 = 0. Let t be 48\/w + (-10)\/(-55). Let r be 6*6*t\/(-4). Calculate the greatest common factor of 54 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z. Let p(f) be the first derivative of f**2\/2 + 211*f - 2085. Determine b(p(g)).\nAnswer: -3*g - 633","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - n)*(-3*n**2 + 2*n**2 - 4*n**2) - 3*n**3 + 3*n**3 - 2*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/16 + 258\/48. Suppose -11 = 4*b + 5*s, -4*b = b + i*s + 15. Suppose d + 3*r - 40 = 3*d, -4*r + 25 = -d. Put -3, b, d in decreasing order.\nAnswer: -3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, 0, -4\/7, -189, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-11 - (28 + -1)) - 56.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.229521m in centimeters?\nAnswer: 22.9521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1073968 and -23\/72.\nAnswer: 9665712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74080242?\nAnswer: 2, 3, 4115569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 516*z - 20313.\nAnswer: -3*(z + 61)*(z + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 57*b - 12. Let a(j) = -4*j + 1. Let z(t) = -15*a(t) - r(t). What is z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 984061 is divided by 5021.\nAnswer: 4966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let v(r) = -r - 10. Calculate i(v(h)).\nAnswer: 2*h + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 88, -17, -254, -647, -1220, -1997, -3002?\nAnswer: -4259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 132. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80271 is divided by 11461.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -12 - (-3250881)\/437 - (-4)\/(-46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k**5\/7 - 5144898*k**4\/7 - 367637690150*k**3\/7 + 122549326658*k**2\/7 + 204244685616*k\/7 + 40848822792\/7 = 0 for k.\nAnswer: -142914, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 5700.\nAnswer: 51300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 210 - 88. Suppose 0*t + 4*y = 5*t - x, 20 = t - 3*y. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454555 is divided by 151517.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -6999.2, -1\/5 in descending order.\nAnswer: 6\/5, -1\/5, -6999.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/119)\/(-1*9\/(-6))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 11 - 29)*(-k + 2*k + 0*k).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) + (-9)\/(-180)*108?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)**(-47)*(g*g\/(g\/(g\/(g*(g\/(((g*g**2)\/g)\/g))\/g*g)*g)))\/g**(-1\/4))\/((g**(1\/3)*g)**(-15\/7))**(-11\/2) assuming g is positive.\nAnswer: g**(-1693\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*w - 387 - 680 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:55 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 80707618.\nAnswer: 1\/40353809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 15\/2*b**2 - 16 + 7\/30*b**6 + 1\/3*b**3 + 0*b**4 + 0*b**5 - 11*b. Differentiate o(r) wrt r.\nAnswer: 28*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*k + 20, 2*k - 4*w + 5*w + 17 = 0. Let a(f) = f**3 + 9*f**2 + 9*f + 2. Does 12 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 4) + 3 + 250 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10001?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 379, 331, 299, 289?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 141.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 7*s**2 - 9. Let g be (-1)\/1 + 0 - -9. Let z be v(g). Suppose 8*r = 3*r + z. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8335244 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.5 - 0.1?\nAnswer: 389.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.002? (a) -3 (b) -2\/9 (c) -0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7. Let w = 287\/2 - 141. Sort w, c, 0.1 in descending order.\nAnswer: w, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {z: 2, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -55*n - 1. Let c(m) = -22*m. Let s(h) = -2*h. Let r(t) = -c(t) + 10*s(t). Calculate p(r(q)).\nAnswer: -110*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202136 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*546\/390.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 bigger than 6329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7229?\nAnswer: 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 2. Let k(u) = -7*u + 9. Let a = 14 + -18. Determine a*k(z) - 18*j(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -272*y**6\/15 + 369*y**2\/2 - 356*y. Find the first derivative of l(u) wrt u.\nAnswer: -2176*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4719*t**4 - 4562*t**3 - 56851897*t**2?\nAnswer: -113256*t - 27372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b + 32*b = -20. Let u(m) = m**2 - m - 7. Let s be u(b). Solve s*k - 4*f - 36 = 0, -2*k + f - 8 = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 19*z**2 + 90*z + 60. Let t be y(-8). Let a(o) = 33*o**3 - 44*o**2 + 44*o. Let x(u) = -u**3 + u**2 - u. Determine t*x(d) + a(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57 and -8564.\nAnswer: 488148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 78 - 3*j**3 + j**3 - 78 to w*j + l*j**3 + x + d*j**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100 - 78*y**3 - 29 + 79*y**3 + 240 + 4*y to a*y + i + u*y**3 + l*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o = 4. Suppose z = o*z - 2. Solve -z*i + 26 - 4 = -4*w, i = -5*w - 24 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3850 and 3850?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 24200*o**2 - 12*o - 25. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368043626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3819 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 5:30 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 36.9. Let m = s + 0.9. Which is the smallest value? (a) -5 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10925 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(250)*-1 + sqrt(250)))\/sqrt(5))\/((sqrt(1250)*-5 + sqrt(50))\/sqrt(5))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1142053005 (base 6) to base 14\nAnswer: 1a1b5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:07 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 10*f**2 + 11*f - 3. Let k be o(-11). Let d(r) = -40*r + 8. Let q be d(8). What is the common denominator of 1\/21 and q\/(-54) + k + 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**4 + 4*s**4 - 5*s**4 + (2*s**3 + 4*s**3 - 3*s**3)*(-41*s - 6328*s - 592*s) to the form y*s + m + w*s**3 + c*s**4 + j*s**2 and give c.\nAnswer: -20881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13154*v**3 + 2*v - 29 wrt v.\nAnswer: -78924*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32961, 131224, 294995, 524274, 819061?\n\"Answer: 32754*o**2 + o + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17092 - 8632. What is r rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-17615.\nAnswer: 17615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-814)\/(-185)*4\/((-16)\/(-10))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62.557 + 73.4596. What is t rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1515*l + 1004*l + 1.\nAnswer: -511*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/48, 0, -57, -5 in ascending order.\nAnswer: -57, -5, -5\/48, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 10. Let p be f(-12). Solve p*a - 5*a + 9 = 3*k, 0 = -a - 4*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 60038?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(143) + -4*(sqrt(143) + sqrt(143) + -1*sqrt(143) + sqrt(143) - sqrt(143)))\/(sqrt(11) + sqrt(11)*-2*-1 + sqrt(11)) - sqrt(208)*-1*5*1) + 4.\nAnswer: -77*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -10*c + 90. Let j be f(8). Let z = -15749\/4974 + -1\/2487. Find the common denominator of z and (-4 + 34\/(-25))\/(8\/j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -27. Which is the second biggest value? (a) 3\/8 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 249\/(-27) - 20\/(-270)*3. Let m(r) = 129*r**2 + 9. Let j(s) = 32*s**2 + 2. What is t*j(h) + 2*m(h)?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/2 + 6 + -9. Suppose -k*j + 6 = -j. Suppose -p + j*p - 15 = 0. What is the highest common divisor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 248 = 20*o. Let b be ((-93)\/o)\/((-2)\/(-4)). Let r(z) = -z + 4. Determine r(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:20 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 5. Let o be x(4). Suppose 3*k = -i + 42, k - 2*k + 2*i = -o. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57137 - -651?\nAnswer: -56486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -28, -1, 2 in ascending order.\nAnswer: -28, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2338671 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10858*d**2 + 76060*d + 34. Give l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 1926\/279)*(133 + -102). Factor 0*d - 20\/11*d**s - 18\/11*d**2 + 0 - 2\/11*d**4.\nAnswer: -2*d**2*(d + 1)*(d + 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24237.255 months to decades.\nAnswer: 201.977125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-8) + (-2)\/(-2). Suppose 0 = 4*l + 2 - 22. Put u, l, 0.4 in decreasing order.\nAnswer: l, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 17 = 4*h, h + 2*z - 6 = 0. Suppose 4*j + 5*f = f - 883996, -883997 = h*j + 3*f. What is j rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8321, 16516, 24709, 32900?\nAnswer: 41089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 29704?\nAnswer: -17\/14852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -461.106 and -0.08277.\nAnswer: -461.18877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -78 and -779\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 58*f**2 - 1862*f + 11180. What is b(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.573 - 36.57317497. What is l rounded to 6 decimal places?\nAnswer: -0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030985 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1919 - s**2 + 3858 + 9*s**3 - 1925)*(5 - 1 + 2) in the form x*s**2 + h*s + k*s**3 + l and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 32. Let w be h(10). Suppose w = -8*c - 6. Let x = -1 - -0.8. What is the closest to 0.2 in -2\/15, c, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*c, -3*z + 6*z = -c + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12805*g**3*p - 3*g**3 + 160*g**2 - g wrt p?\nAnswer: 12805*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 132413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1782726, -1782982, -1783238, -1783494, -1783750?\n\"Answer: -256*p - 1782470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/6 - (2 - -1). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*f**3*t + 7*f**3 - f**2*t**2 + f*t**2 - 2*f wrt t?\nAnswer: 10*f**3 - 2*f**2*t + 2*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 5, k: 2}. Give prob of sequence hqq.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 2*s - 5868. Is 73 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - (-2943)\/(-81))*15\/(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83291458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m + 1. Let o be f(5). Let i be 2\/(-4) - (-4)\/(8\/o). Suppose t = -5*x - i, 0*x + 26 = 4*t - 3*x. Solve 0*h = 5*h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d + 8, -1003 = 5*u + 2*d. Let g = -2187\/11 - u. Which is the closest to g? (a) -2 (b) -0.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 2*c - 10. Let a be k(8). Let w = a - -9. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*9\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 - (-8 + (0 - -7)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23.8, 50, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Suppose -2*l - 4 = -2*b, -2*l + 5*l = 5*b - 16. Let a = 4 - 3. Let w(d) = a + 4 - l. Calculate -2*v(g) + w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3153.3 less than -0.768?\nAnswer: 3152.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 18 = r. Let k be (1 + 0)*10\/2. Let w(i) = -i**3 + 5*i**2 - i + 7. Let d be w(k). Solve 0 = 4*j - r*a - 0 + 6, -4*a - 6 = -d*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -21*n**5\/20 - 3*n**3\/2 + 13*n**2\/2 + 6*n - 2. Let r(h) = -5*h**3 - 2*h + 3. Let y be (-1)\/4*-3*-12. Give y*r(s) + 2*i(s).\nAnswer: 3*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*z + 1270020 = -f, 4*f = 3*z - 1016012. What is f rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1942435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 0*v = 120. Suppose -2*t = t - 30. Calculate the highest common divisor of v and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)*(u\/(u\/(u*u**22\/u)))\/u assuming u is positive.\nAnswer: u**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**3 + q**2 + q - 1. Let l = -51 + 88. Let w = l - 32. Suppose -5*n = -0 - w. Give m(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 896 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 18*j - 32. Does 13 divide o(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -k. Let p(r) = 11*r - 18. What are the prime factors of p(k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from {v: 2, p: 4, t: 1, f: 6, g: 3, y: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**6*s*s))**(2\/3)\/(s**(-19)*s\/(s**(-21)*s)))**(-32) assuming s is positive.\nAnswer: s**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -24222, 3.\nAnswer: -24222, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 75630.\nAnswer: -1\/25210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -0. Let d be 0 + (0 - (o - -2)). Let x(v) = v + 4. What is x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*t - 96, -5*a - 61 = -4*t + t. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 8*l + 108 = 0. Solve x - 15 = l*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + n - 8*n)*(2*n**2 + 3*n**2 - 3*n**2) in the form f + d*n**2 + c*n + s*n**3 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32b8584 + 5?\nAnswer: 32b8589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1584) + sqrt(1584)*-1 - sqrt(1584) - (-3 + -2*sqrt(1584))) + 5*2*sqrt(1584) + 1)**2.\nAnswer: 792*sqrt(11) + 191673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:29 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*v - 10*i, -238*v - 4*i - 36 = -242*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 0*f + 3*f + 14, -4*u + f = 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 435 - 439. Which is smaller: 4.7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190824789.\nAnswer: 7, 11, 17, 59, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1. Let x(m) = 3*m**3 - 3*m**2 + 1. Let f(l) = r(l) + x(l). Let i = -13 - -15. Calculate the remainder when 71 is divided by f(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260591 and 10425?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 3\/(-15))*-1. Which is the third biggest value? (a) -3 (b) 2\/11 (c) -0.2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one halves of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -1*sqrt(153)*-2)*1)\/(sqrt(90)\/(sqrt(80)\/(3*sqrt(8)) - sqrt(10))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 + 4. Let b be r(5). Suppose -u + 45 = b*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6862*w + 14. Let x(c) = -1958*c + 4. Give -18*x(d) + 5*z(d).\nAnswer: 934*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 7*q + q)*(0 + 2 - 4) - q + 0*q - 7 + 5.\nAnswer: -9*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -105\/16, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 + -114. Suppose 0 = 2*r - 3*v, -5*r + 0*v = -v. Suppose r*z = -z + 10. What is the highest common divisor of u and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.710569 nanometers to micrometers.\nAnswer: 0.007710569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5440 * 0.6.\nAnswer: -3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from {p: 2, i: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -4, -1, 1\/44, 14 in decreasing order.\nAnswer: 14, 0.1, 1\/44, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 78 = 3*z. Suppose -z*j - 5931 = -29*j. Suppose 0 = 3*t + t + u - j, t + 5*u - 518 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, 7, -3, 0.2, -0.1, 1 in increasing order.\nAnswer: -192, -3, -0.1, 0.2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1990.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 81156019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 5*v - 25785 = 18*h, h + 5*v = 5173. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -9*i + 7*i - 13, -2*i + 2*i - r = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + i + 1. Let c(a) = a - 6. Let s be c(5). Let f be d(s). What is the common denominator of 69\/16 and 1\/(-28)*284\/f?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269883 and 1337.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1846 and 2?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 9:56 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 231 + 4312?\nAnswer: 10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**2 - 12*r + 1264. Calculate w(16).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4*(-3 - 14\/(-4)))\/2. Sort w, -16, 2, 3 in descending order.\nAnswer: 3, 2, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*108\/1485*(-6)\/3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1101 + 4466 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -200*x - 1000. Give l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x - 25 + 25)*(48*x**2 + 1 - 20*x**2 + 4*x - 20*x**2) to the form d*x + o*x**3 + h*x**2 + v and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Let q be 17 + (u - 3\/3). Suppose b = -4*s + q, 3*s = s - 5*b + 8. Solve 5*y + s*p = 12, 3*p - 7 = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7*(w*w**4)\/w*(w\/((w*(w**0\/w)\/w)\/w))\/(((w**(-1\/2)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32645779 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 6*v + 6. Let a be l(-7). Let k = -6844 + 6855. What is the least common multiple of 0\/a + 5*1 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z\/((z*z**(-3\/4))\/z)*z**(-5))\/(z**(-1))**(2\/7))**(5\/3) assuming z is positive.\nAnswer: z**(145\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.03?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/835, -214, 0.3?\nAnswer: -1\/835","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950632794383 less than -3?\nAnswer: -2950632794386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -10. Which is bigger: z or 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - y + 4*y. Let b(m) be the first derivative of m**6\/40 + 3*m**3 - 7. Let k(f) be the third derivative of b(f). Determine k(c(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.3 - -71. Let f = 1331\/45 - 149\/5. Which is the fourth biggest value? (a) -3 (b) t (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 - 496*c - 1993. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1\/(-3))\/((-8)\/(-20)). Sort c, -5, 10\/11, -3 in decreasing order.\nAnswer: c, 10\/11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*g + 80*g - 32 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559, -758, -1071, -1498, -2039, -2694, -3463?\nAnswer: -4346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2053528 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8.9. Let n(s) = -4*s + 21. Let u be n(6). Let o be (u\/(-4))\/(105\/112). Which is the nearest to 1\/4? (a) h (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 65322*p - 2155515. What is s(33)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 117\/(-2))\/((-2)\/(-4)). Let w = 219 + d. Differentiate -19 + 67 + w*v - 97*v wrt v.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1843394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8007?\nAnswer: 3, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 332231?\nAnswer: 332230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five halves of a millimeter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9 - 580*u**2 + 4 + 5 + 581*u**2. Let w(r) be the first derivative of 0*r - 7\/2*r**2 - 4. Determine w(j(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 312457?\nAnswer: -93737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -115*h + 114*h - 13 + 13. Let b(a) be the first derivative of 19*a**3\/3 + 1. What is b(g(j))?\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.2 - 4.9. Let r = -3.23366 - -0.933621. Let m = v + r. What is m rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 + -4 - -9 - -5) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25830)\/(-22) - (45\/(-99))\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 - 164015*r - 328010 = 0. Calculate r.\nAnswer: -32801, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o - 1. Let u = 648 + -29. Suppose u*d = 620*d + 1. Determine p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0 + sqrt(567) + -3 - (sqrt(567) + 2 + 5 - sqrt(567))) + -1 - -3*(sqrt(567) + -1 + 4)*-3)**2.\nAnswer: 4788*sqrt(7) + 29227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/6 (b) -4 (c) -1390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 - 4*z - 1. Let s(r) = -r**2 + r - 1. What is -4*s(d) - x(d)?\nAnswer: -3*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 1346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52469 to three dps.\nAnswer: -0.525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/12 + 13*c**2\/2 - 144*c. Calculate v(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/12 - y. Let u = 4542 + -4538. Let l(d) be the second derivative of d**4\/12 + d**3\/6 - 6*d. Determine u*l(h) + 3*n(h).\nAnswer: h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 + 2*p**4)*(0 - 2*p + 0) + 7*p**5 - 4*p**5 + 2*p**5.\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8671 = 176116*z - 175449*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 329795934, 659591866, 989387798?\n\"Answer: 329795932*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -3 - 6198\/2070. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7112138km?\nAnswer: 711213800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000034501 rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -709, -702, -691, -676, -657?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -160. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -144?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.16 and 778569604090?\nAnswer: 778569604089.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*c + 148138 - 200076 = 288409. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440 by -4.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100139 and 4277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 359 + -74. Let v = 285.7 - g. What is the closest to 0.2 in 5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -305. Factor 3\/5*j**z - 4\/5 + 1\/5*j**3 + 0*j.\nAnswer: (j - 1)*(j + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 + 83*l - 282. Determine i(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:21 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from uudwwwmddxdxm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403735.\nAnswer: 5, 80747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*d + 640 = -599, 4*f = -2*d + 4938. What is the highest common factor of f and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105\/2*g + 9*g**4 + 52*g**3 + 89*g**2 + 1\/2*g**5 - 98 = 0 for g.\nAnswer: -7, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 55. Let w(p) be the first derivative of p**2\/2 - 8*p + 2514. Let h be w(k). Solve a - 4 = h*g, -a - 4*g = -2*g + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-950)\/3040)\/((-10)\/(-800)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 5*x + 7. Let v be d(6). Let q = v - -1. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**2 + 448362001*o*r**3 - r**3 + 2035*r**2 + 7092*r wrt o.\nAnswer: -2*o + 448362001*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from 387550.\nAnswer: 387550.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j - 20. Suppose -9*p = -19 + j. Let n = 1 - 1. Solve h + p = -n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.4. Sort 0, l, -0.4.\nAnswer: -0.4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose 0 = -5*s + 5 + r. Is ((-1)\/(s\/(-452)))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.3 (c) 137 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.48 + -0.82. Let m = l + 0.3. Let h(y) = -y**3 - 10*y**2 + 5. Let p be h(-10). What is the third biggest value in m, p, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*d = -57, 0 = 2*m + 616060*d - 616126*d + 1198 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3815500*g**2 + 1059720*g + 864 = 0.\nAnswer: -18\/65, -12\/14675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (816\/(-153))\/(((-2)\/(-8))\/((-135)\/2520)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 238943, -2\/9, -0.4, -1 in descending order.\nAnswer: 238943, -2\/9, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z**2 - 36*z + 20. Let t be g(-4). Which is the second smallest value? (a) -8\/9 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*x - 24 = -x, 5*d + 3*x - 118 = 0. Suppose t = -2*w + d, 5*t + 2*w = 7 + 92. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*t + 43 = 0, -k = 2*k + t - 16. Let p(r) = r**2 + 3*r + 2. Let z be p(-3). Let q be 6 + -7 + (-1 - -17). Solve -k*b = -z*b - q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (19 + (4 - 12) + -23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8414 divide 251856262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -39*z**2 - 40*z - 1 = 0.\nAnswer: -1, -1\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(80))*5 + 6*(sqrt(5) + (sqrt(5) + 1)**2) + -3)*4.\nAnswer: 12*sqrt(5) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - p = -2, 2*x + 2*p = -0 + 4. Suppose 4*n = j - 3, -15 = -5*j + 3*n - x*n. Solve 0*r = -3*r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - h. Determine y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1*((-2550)\/50)\/(-153))\/(39\/24)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - 5. Suppose 0*l + 8 = -2*l + 4*b, -l = -b. Let n(d) = l - 8 - 2*d**2 - d**2. Let c(h) = -5*n(h) + 4*v(h). Let c(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = 609 - 3489. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:56 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 51, -1 in decreasing order.\nAnswer: 51, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 12*r**2 + 7. What is the units digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -7361.\nAnswer: 2944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(133)\/sqrt(7)*1*3.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -278*l**2 + 2*l + 3 + 517*l**2 + 4*l**3 - 237*l**2. Let i(n) = -7*n**3 - 4*n**2 - 5*n - 7. What is -2*i(q) - 5*x(q)?\nAnswer: -6*q**3 - 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d - 148*d + 1908 = 0. Calculate the remainder when 476 is divided by d.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*26.559\nAnswer: -5.3118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 3*t**2 - 57*t**3 + 61*t**3 + 0*t.\nAnswer: 4*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32186266?\nAnswer: 2, 7, 19, 121001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 15*h**2 - 4*h + 12*h**2 + 5*h - 25*h**2 - 10*h**3 to a + w*h + s*h**3 + q*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 6. Let o be s(2). Suppose 0 = o*u - 6*u - f + 22, -u + 9 = 2*f. What is the remainder when 13 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) 0 (c) -2\/5 (d) -3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644041.\nAnswer: 47, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, 100.\nAnswer: -4, 1, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -8*r**4\/15 + 16*r**3\/45 + 93*r**2\/5 + 54*r - 3632. Determine p, given that q(p) = 0.\nAnswer: -9\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3\/2 - 93*u**2 - 8265*u\/2 - 53824 = 0.\nAnswer: -128, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(252\/12)*(-171)\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-19)*u**(8\/7) assuming u is positive.\nAnswer: u**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 33*n + 247. Calculate the lowest common multiple of 194 and a(-7).\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3 - 1 - -8. Let j be 60 + -3 + u + -2. Suppose -5*g = -2*g - j. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**4 + 201728*m**2*o - 4*m*o + m - o - 344946 wrt m?\nAnswer: -8*m**3 + 403456*m*o - 4*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-18)*q**(-2\/33)*(((q*q\/q**17)\/q)\/q)**(13\/5) assuming q is positive.\nAnswer: q**(-10273\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*q + 50 = q, -q + 46 = -4*v. Let k be v\/(-24) + (-7)\/(-2). Put k, 2, 0 in decreasing order.\nAnswer: k, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1694)*-1)\/(sqrt(441)\/sqrt(7)*1).\nAnswer: -11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8412721?\nAnswer: 67, 307, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from wwwwltlwglsw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227011.\nAnswer: 227011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456 = 28*s + 2*m, 495568*s - 495567*s = -4*m + 32 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/(3\/12). Does 4 divide 0 + (2 - 2) - l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 2068*q**2 + 38*q - 64 wrt q.\nAnswer: -24*q**2 - 4136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1294\/16822 + (-2)\/(-26).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2 and -124?\nAnswer: 768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 306*i\/5 - 1256\/5.\nAnswer: 2*(i - 157)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -14. Let o = w - -8. Suppose o*l + 0*l = 14. Find the common denominator of l and 87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 215790733*n**2 + 215790733*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6284669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -13. Let u(h) = -21*h + 42. Let s(y) = -4*d(y) - u(y). What is s(-3)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/10)\/k)**(3\/29)*(k**(-2\/9)*k)\/k*k*k**(1\/7)\/k*k)**24 assuming k is positive.\nAnswer: k**(60476\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -4, -17, 5 in ascending order.\nAnswer: -17, -4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97510682 rounded to the nearest one million?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28183376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47762061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s - 1. Let x(l) = l**3 - l**2 - l + 3. Determine -4*a(h) - x(h).\nAnswer: 3*h**3 + h**2 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c = -10*c - 24. Let z(a) be the first derivative of -4\/13*a + 2\/39*a**c - 3 + 3\/26*a**4 + 2\/65*a**5 - 3\/13*a**2. Let z(b) = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 3. Let o be 4 - j*1\/(-2)*-1. Solve o*z - 6*z + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:19 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -286755, -0.09, 2\/19 in descending order.\nAnswer: 2\/19, -0.09, -286755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 17*l**2 - l - 12. Suppose -3*u + 256 = -5*o, 5*u = u + o + 313. Let i = 72 - u. Let p be z(i). What is the greatest common factor of 38 and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7*p. Suppose -2*v - v = p. Solve v = -o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -133*w + 57*w + 67*w + 2. Let l(g) = -g + 1. Give 4*l(c) - p(c).\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 12:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:05 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147931, 147947, 147963, 147979, 147995?\nAnswer: 148011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1688, 3383, 5090, 6815, 8564?\n\"Answer: f**3 + 1688*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 6 + 1 + 367*q + 13*q**3 - 366*q.\nAnswer: 13*q**3 - q**2 + q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3362315 divided by -61133?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509674?\nAnswer: 2, 11, 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*u = -364. Let g = u + -175. Let a be 7\/(-21)*g\/2. Solve -5*z = -4 + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 2. Let n = -26 - -23. Let t be r(n). Do t and 11 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38711.45 kilometers in millimeters?\nAnswer: 38711450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-13)*6\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -102065 less than or equal to -102067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 24, -2, -33 in decreasing order.\nAnswer: 24, 3, 0, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -468. Let l = 215.2 + r. Which is the biggest value? (a) 3\/8 (b) -0.2 (c) l (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 231*g - 353. Suppose p + 8 = 24. What is the remainder when n(2) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201237 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 o be (-2)\/(-4) - (-195)\/10. Suppose -4*b + 315 = -7*b. Let m = b - -125. Are m and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24222 (base 5) in base 3?\nAnswer: -2111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s - 2481 = -39*s. Let t = -823 + s. Solve -6*y - 30 = t*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, q: 2, p: 1, f: 1, w: 1, b: 3}. What is prob of picking 1 r, 1 p, 1 w, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9 = -z, -v - 3*v + 2*z + 6 = 0. Let h be -2 - -2 - -1 - -2. What is the remainder when 29 is divided by -2 + h - -3*v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 5*m**2\/4 - 7*m\/4.\nAnswer: m*(m - 1)*(2*m + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.72738ug to nanograms.\nAnswer: 49727.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 5*k**2 - 2*k + 5. Suppose -4*o - 25 = o. Let u be z(o). Let j = u + -5. Solve y - 3*y = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 128\/(-40))\/(1\/(-5)). Suppose 308 = w*k - 6*k - 2*n, k + 2*n = 108. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 45\/(10\/(-2)). Let u = a + 7. Suppose u = -3*m + 2*f + 47 + 4, f + 33 = 2*m. Calculate the remainder when 59 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - 0.35. Let f = -3.3 - h. Let y = 3 + -2. What is the nearest to y in f, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 42*t + 4. Let h = 18 - 20. Let q be (1*h)\/(10\/(-30)). Let d be z(q). What is the greatest common factor of 32 and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*v + 240 = -168*v. Let q = 90 - v. Solve -28 = -q*h + 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.72 - -0.38. Let w = y + -5. Let f = w + -1.8. Which is the closest to -2? (a) 3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14515 and -0.219.\nAnswer: -14515.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 10:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2790*r**2 - 1680*r**2 - 1301*r**5 + 206*r**5 - 1876*r**5 wrt r.\nAnswer: -178260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r + 1 = -18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2170, 4340, 6516, 8698?\nAnswer: 10886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u. Let q be (18\/(-12))\/((-3)\/(-6)). Let j(a) = 6*a. Let v(g) = q*j(g) + 4*i(g). Let o(p) = -10*p**2. Determine v(o(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2951165 is divided by 30741?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 7*h**2 + 8*h + 6. Let a be v(8). Solve 0 = -2*r + 6, -2*p - a = p - 4*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636334796 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1021.5502 times 0.3\nAnswer: -306.46506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 + 190616*m\/5 - 190618\/5.\nAnswer: 2*(m - 1)*(m + 95309)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5659475?\nAnswer: 5, 226379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -449 - -474. Suppose -33*o + 140 = -a. Solve -d + 5 = -0*d + o*b, 2*d + b = 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4977972 (base 10) to base 9\nAnswer: -10326440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -56*m**4 - 2*m**2 + 64*m + 2. Let b(u) = -u**2 - u + 1. Let w(n) = -2*b(n) + t(n). Find the second derivative of w(q) wrt q.\nAnswer: -672*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 19 + 1. Let x(v) = 2*v - f + 0*v - v - v**2 + 8. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2398\/9 - 2390\/9. Let w(x) be the first derivative of 4\/3*x**2 + u*x**3 + 0*x + 1\/6*x**4 - 16. Solve w(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.6. Let p = 4.6 + t. Let z be (-126)\/(-273)*(-6 + (-111)\/(-12)). Which is the closest to 2? (a) p (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 394932?\nAnswer: 394931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47888 and 27388.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 2, n: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.7 (b) 0.5 (c) -5 (d) 39 (e) -6.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 40*x**2 + 68*x + 63. Let p(m) = -21*m**2 - 3*m - 1. Let g(u) = -d(u) - 2*p(u). Determine g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 9. Let k be x(-7). Suppose 3*d - 53 = k*d. Calculate the remainder when d is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 20 + 4 + 24 + 44*c - 26*c to i*c + j + d*c**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 48?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753955711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2. Let l(o) = -247*o**2 - 13*o + 26. Let i(c) = 40*c**2 + 2*c - 4. Let g(t) = -13*i(t) - 2*l(t). Calculate g(m(p)).\nAnswer: -1274*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279461\/4 - 68695. Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {c: 1, t: 1, x: 1, j: 1, k: 1, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 8*a**2 + 24. Let g(x) = -7*x**2 - 20. Let y(f) = -6*g(f) - 5*k(f). Let t(p) = -135*p - 1. What is t(y(b))?\nAnswer: -270*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 19. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718995 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 2. Let m(a) be the third derivative of -a**5\/60 + 2*a**2 - 5*a. Determine m(d(i)).\nAnswer: -16*i**2 - 16*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4114, 8323, 12532?\nAnswer: 16741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 0 + 16*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**2. Let f(w) = -23260*w**2. Give a(f(r)).\nAnswer: -5951303600*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*n + 121*n = -119*n + 8910 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-42)\/99). What is the second smallest value in -0.04, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let o(v) = -2*v - 1. Let n be o(s). Find the first derivative of 2*t - 1 - n + 1 wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.77 and -1321?\nAnswer: 1321.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -21. Suppose 3*b - r = 5*s, 3*b - 2 - 1 = -s. Suppose 4*a - 2*a + 46 = 3*f, -2*f - 5*a + 18 = 0. What is the lowest common multiple of b and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * 0.5\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/14 - -6\/7. Which is the third biggest value? (a) i (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*c + 20 = 0, -4*k + 3*c = 7*c. Suppose k*f - 7 - 1 = 0. Suppose -31 = -w - f*d, -w + d = -d - 35. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:28 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13172*o + 3042 + 0*o**3 - 10286*o - 154*o**2 + 2*o**3.\nAnswer: 2*(o - 39)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8637392 is divided by 191?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47429.14 millennia to centuries.\nAnswer: 474291.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972 + -935 + (-33 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3. Let m(n) = n - 1. Let k = 22956 - 22951. Determine k*m(x) - a(x).\nAnswer: 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -1. Let r = 209 - 186. Solve 5*f - n + r = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(-4) + (2 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4587.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 35 = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 5*c**2 + c - 1. Suppose -2*r - 3*r = -3*g - 5, 30 = 5*r + 2*g. What are the prime factors of w(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-440)\/16*236\/(-40). Calculate the greatest common divisor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 14 + 1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 - 59173*w\/2 - 7363594\/3.\nAnswer: -(w + 83)*(w + 177436)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 297 (b) -76 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m - 4. Let u be m*(0 - 1\/3). Is u > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 202 = 4*o + 180, -5*o = -5*k - 50 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -4 + 12 + -6 + 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 4*i - 1. Let l = 19 - 16. Give v(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/11, 4\/3, 4\/5 in decreasing order.\nAnswer: 4\/3, 4\/5, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 0*x**3 + 2*x**3 + x**3. Let f(q) = -6*q**3 - 3*q**2 - 3*q. Let n(k) = 5*c(k) + f(k). What is the units digit of n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:30 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2 + 2)*(-2 + 2 - o) + (47 - 47 + 27*o)*(o + 1 - 1) + 3*o**2 + o**2 - 8*o**2.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 2, 6, 3\/8, 1.4, -2\/17?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-4)\/(-5) - 1386\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.1 + 2.1. Let q = 0.42 + -0.02. Which is the third biggest value? (a) q (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 5 + -9 + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 457 = -3*c - 0*c, 5*l + 2*c - 577 = 0. Is 115 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/91 and 28\/3838887.\nAnswer: 26872209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 297, -17\/3, 0.1, -2\/31, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 169.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*g = 4*u + 678, 0 = 2*g + 987*u - 990*u - 1 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.06045987 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -1 + (-38)\/10)\/((-1)\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 114, 206, 456, 942, 1742, 2934?\n\"Answer: 13*y**3 + y**2 - 2*y + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4828 and 4012.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.15 (c) 105.421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6 - 593*d**3 + 1188*d**3 + 13*d**2 - 594*d**3. What is x(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -277, -552, -827?\n\"Answer: -275*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068458 rounded to 6 decimal places?\nAnswer: -0.000685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897127 is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69097752 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**3 + 12*u - 6*u**3 - 9*u**2 - 13*u**3.\nAnswer: -3*u*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7020*c**2*y**3 + 112*c*y**3 - c*y - 64*y**3 wrt c?\nAnswer: 14040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*m + 179*m = -480. What is the highest common factor of m and 2928?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-6)*(-18)\/8. List the prime factors of ((-12)\/16)\/(j\/(-68)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (41 + -38)*((-43)\/3 + 3). Let p(x) = -2 + 3*x - 4*x - 1. Let r(z) = 6*z + 17. Let b(u) = a*p(u) - 6*r(u). Let w(i) = 9*i. Give w(b(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -238 + 5*k**3 + 304*k + 7767*k**2 + 0*k**3 - 7855*k**2 - k**3 - 50.\nAnswer: 4*(k - 18)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 13. Let h = 15 - -14. Calculate the remainder when h is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -4*b**3 + 13*b**2\/2 - 13. Find the second derivative of s(i) wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 5*s - 90. Determine f(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 4.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.19999984 - 1.2. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s**2 - s + 6. Suppose -3*d - 12 + 6 = 0. Let y be d\/(-10) - 14\/(-5). Suppose a = -y*a. Determine r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/9 + 7*v**2\/6 - 10*v\/3 - 12. Factor y(t).\nAnswer: -(t - 5)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*g + v - 21 = -128*g, -24*v + 466 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -502483 - -1682283. What is u rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 + -156. What are the prime factors of -10*(318\/g)\/((-15)\/(-6))?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104004, 831670, 2806762, 6652992, 12994072?\n\"Answer: 103952*g**3 + g**2 - g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82560 by -31.\nAnswer: -82560\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33.9 - -4.9. Let k = -84 - i. Let y = k + 55.00000046. Round y to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9554 and 2390186?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-5)*r))\/r)**(5\/9) assuming r is positive.\nAnswer: r**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*o**5*p**2 + 7*o**5*p - 7*o + 2*p**2 wrt o.\nAnswer: -300*o**3*p**2 + 140*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - ((12 - 13 - 5) + -43)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1)*0\/3. Let q be ((-3)\/6 - k)*-4. Find w, given that 5 - 20*w - 3*w**q + 1 + 23*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 438077 and 438088 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/2 (b) -13 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1600)\/140 + (-328)\/(-504)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1353*f - 2. Let d(j) = -1358*j - 2. Determine -4*d(p) + 3*u(p).\nAnswer: 1373*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c + 5?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4375419 and 66.\nAnswer: 4375485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c**3 + 1)*(-4 + 3 + 3) + 18*c - 18*c + 3*c**3 + (2*c - c + 4*c)*(-c**2 + 2*c**2 + c**2).\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 - 7*t - 7. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-3)*-2*3. Let n = y + -24. Suppose -d - 5*w = 16, 3*d + w = -2*d + n. Solve -4*p + 12 = -d*b - 4, 5*b = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/2, -4, 60, 252, -1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 253901 and -8747124.\nAnswer: -8493223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/10 + 19*v**4\/10 + v**3\/10 - 667*v**2\/10 + 126*v - 306\/5 = 0. Calculate v.\nAnswer: -6, 1, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let b(s) = -s**2 - 3*s + 3. What is -b(z) - 5*u(z)?\nAnswer: z**2 - 2*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590061410?\nAnswer: 2, 5, 59006141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from prghuuk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 23. Calculate z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*k**2\/11 - 98*k\/11 + 4\/11.\nAnswer: 2*(k - 2)*(24*k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 852*h**3 + h**2 + 3*h + 2. Let r be d(-1). What is the units digit of r\/(-8) - 6\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d. Let r(h) = -h + 2. Let j be 22 - 25 - (-2 - -1). Suppose -t - 1 + 6 = 0. Let v(s) = -s + 5. Let u(g) = j*v(g) + t*r(g). Calculate u(a(z)).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5545048 by -2772524.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -48*f - 19. Is g(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**4 + f**3 - 1. Let a = 113 - 112. Let b(t) = 14*t**4 - 5*t**3 - 11*t**2 + 7*t - 3. Let g(n) = a*b(n) - 2*i(n). Solve g(z) = 0 for z.\nAnswer: -1, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 + 99. Let y = 94.14 + z. Let p = y - -0.96. Which is the nearest to p? (a) 1 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/12672*-24)\/(17\/2).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/81 and -97\/18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.085 - -0.085. What is the closest to -13 in h, 2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0008, -20, 2\/43, 3 in ascending order.\nAnswer: -20, 0.0008, 2\/43, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216836.397644 + -0.5.\nAnswer: 216835.897644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 1, z: 1, v: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 706016070 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*g + 37, -3*t + 4 + 4 = 5*g. Suppose -4*i + 1 + t = 0. Find v, given that -1 - i + 3*v**2 - 4*v**2 - 4*v = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202.2 - 202. Let y = 13 + -22. Let z be (-3)\/4*2\/y. Sort z, 1, m in decreasing order.\nAnswer: 1, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 - 2 - -4. Let v be (r\/3)\/(-1*(0 + -1)). Solve -3*b + 8 + v = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.0919 times 611\nAnswer: -1278.1509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 + -8 - -9) + 5 + -12. Suppose -t = 3*t. Sort 1, w, -3, t in decreasing order.\nAnswer: w, 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.97. Let o = 2 - -3. Let s = 1\/39 - 29\/117. What is the fourth smallest value in o, q, 4\/9, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 13. Let g be z(4). Suppose -g*h = 8*b - 4*b - 117, -h = 3*b - 34. Calculate the common denominator of 2\/5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1661 - 3532*s + 829 + 832 as t + z*s and give z.\nAnswer: -3532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48919 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 76*u - 21. Let w(m) = m - 51. Determine b(w(g)).\nAnswer: 76*g - 3897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 330123 - 330123. Factor g - 1\/4*b**5 - 1\/4*b**4 + 5\/4*b**2 + 1\/2*b + 3\/4*b**3.\nAnswer: -b*(b - 2)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -375 - -379. Let z(g) be the first derivative of -g**2\/2 - 3*g + 3. Calculate z(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -43, 0.8, 2\/5, -1, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:55 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2787478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + 2*i**2 - 1 + 5*i**2 - i**2 - i. Let m be l(8). Suppose -5*w + 30 + m = 0. Solve 8 = -3*r + 2*p - 6*p, -3*r + p + w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220746 - -882987\/4. Factor -3\/2*y**2 + 15\/4*y - 3\/4*y**4 + 9\/4 - 9\/2*y**3 + z*y**5.\nAnswer: 3*(y - 3)*(y - 1)*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6*1320\/462*-1.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1.756?\nAnswer: -4.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.994407us in seconds?\nAnswer: 0.000007994407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1775, -7091, -16045, -28739, -45275, -65755, -90281?\nAnswer: -118955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62 - -2225?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 15 + (-25 - -11) + -46.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let j(y) = 24*y + 26. Let n(i) = -29*i - 30. Let t(a) = -6*j(a) - 5*n(a). Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 5 + -8 + 2 - -10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 156027010220 + 0.3\nAnswer: 156027010220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1491, 1\/3, 1\/5, -4, -2 in increasing order.\nAnswer: -1491, -4, -2, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o + 483*o**3 - 956*o**3 + 476*o**3 + 7*o**4 + 2*o**4 + o**4 - o**4 + (-6*o + 6*o + 2*o**2)*(3*o**2 - 3*o**2 - 2*o**2).\nAnswer: 5*o**4 + 3*o**3 + 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 15*x**2 - 19*x - 17. What is the units digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2582980 and 2582980 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10390174478.3 less than -0.6?\nAnswer: -10390174478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (-3 - -403) - 1?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:24 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1289, 1, 4, 100.\nAnswer: -1289, 0, 1, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 - 4 = 0, 4*n + 6 = -5*k. Let v be k\/8*-2*6. What is the second derivative of 2*s + 3*s + 0*s**3 + 2*s**v - s wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a - 10. Suppose 5*l - 7*l + 40 = 0. Let i = l + a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 6*b**2 + b. Suppose -5*w = 4*g + g, -w = 2*g + 5. Let n be m(g). What is the remainder when 13 is divided by 76\/10 - (-8)\/n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 419 (b) 5\/2 (c) -4 (d) -24 (e) 5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552 + -549.39. Let b = -6.61 + m. Let v = -1.6 + 3.6. Put -5, v, b in decreasing order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13099767 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231589 and -0.8?\nAnswer: -185271.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28232 divided by 2?\nAnswer: -14116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110465350 divided by 145.\nAnswer: 761830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j**5*j**(2\/5)*j\/j**(4\/3))\/((j**(2\/7)\/j*j)**(-19)\/(j*j**3*j\/((j**(1\/10)*j)\/j))) assuming j is positive.\nAnswer: j**(4703\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -3 - 1) + 0\/1. Which is smaller: 18 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 38. Suppose u + 24 = -50. Find the common denominator of (-20)\/10 + u\/n and -40.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + -7. Let t(s) = -s**2 - 18*s + 18. Let q be t(-25). Let o = q + 138. Is z at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -56*b - 389. Calculate y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - 5*r**2 - 3*r. Is l(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-6))\/((-1)\/(-2)). Let j = 0 + a. Suppose 15 = -j*x + 3*c + 69, -x + 2 = 3*c. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22000101012002 (base 3) to base 7\nAnswer: 51125531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s + 4*n - 40 = 0, 5*n = -s + 26. Which is the second smallest value? (a) -0.5 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (-918 + 6 + -13)?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5060*h**4 + 239 + 7*h - 2*h**3 + 2*h**3 + 5056*h**4 wrt h.\nAnswer: -16*h**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 343, -2449, 0 in increasing order.\nAnswer: -2449, -9, -2, 0, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 121*t + 4957. What is w(-42)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.71*2763670\nAnswer: 10253215.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -2101?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.71 + -1.31. Let p = -3157\/13 - -243. What is the nearest to 3 in -2, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/4 - 338775*h**2 + 24388884*h - 438982416 = 0. What is h?\nAnswer: 36, 451628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -8\/5, -5, 0.4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (16 - (-14 + -9)) - 12\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 11)*2\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*v**2 - 146*v**2 - 253236*v**3 - 133*v**2.\nAnswer: -253236*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 + -8.9. What is the smallest value in l, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, -12, 4, 0.11, -17, -5 in descending order.\nAnswer: 4, 0.11, -0.23, -5, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 12*w**2 - 30*w + 12. Let n be r(-14). Let v = 4807 - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*u + 79*u - 309*u**2 + 63*u + (7*u - 3*u - 2*u)*(0 + 0 + u).\nAnswer: -307*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -306.5264 + 314. Round b to one decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 96*n**2 + 687*n - 594.\nAnswer: 3*(n - 22)*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + 0*g)*(-5 - 12 + 16) to the form q*g + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 1, -6, -27, -68?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11302838 is divided by 25572?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 101 = -308. Suppose 3*s - x = 12. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:27 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 7 = -2*b, 5*b + 47*w + 5 = 45*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 l when three letters picked without replacement from lqllluqur.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 81. Which is the biggest value? (a) m (b) 5\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/6 + 2*k**3\/3 - k**2 + 3*k. Let a be w(2). Let s be (-3 - -1)*a\/4. What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131669*a - 37276 with respect to a.\nAnswer: -131669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(28\/12))\/((-5)\/(-315))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = m - 26, 5*m + i - 122 = -i. Let d = 75 - m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25393?\nAnswer: 67, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -6 + (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481 + 450 - 929 + 27*p.\nAnswer: 27*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 26*v**2 + 2. Suppose -47 = 2*g - 0*g - 5*m, -51 = 2*g - m. Calculate the remainder when ((-25)\/15)\/(-5) - 23\/(-3) is divided by o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 + q - 8. Let b = -1289 - -1284. What is h(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 112 from -9.473.\nAnswer: -121.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 472119\/9795 + (-90)\/2?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -1 - ((30 - 10 - -18) + -7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81.0696096+-0.02\nAnswer: -81.0896096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13548353, -13548352, -13548351, -13548350, -13548349?\n\"Answer: v - 13548354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.42 + -0.62. Let z = -4 - -4.5. Let u(s) = -s - 2. Let v be u(-4). What is the nearest to h in z, v, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964*i**4\/5 - 916*i**3\/5 - 50176*i**2\/5 + 151744*i\/5 + 1536 = 0. Calculate i.\nAnswer: -8, -12\/241, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397834?\nAnswer: 2, 17, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -1\/6 (c) 4 (d) 3 (e) -19 (f) -225\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.258 and -13422.\nAnswer: -3462.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31281.109 and -2.\nAnswer: -62562.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 378 + 477 = -955 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.8 + 15.962. Round o to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/6))**44\/(w*w\/((w**(1\/5)\/w)\/w)*w)**29 assuming w is positive.\nAnswer: w**(-1538\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 90*x - 663. What is the units digit of z(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1 + -2)\/((-12)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 73. Suppose d = -j + 3 - 5. Let g = 0.12 + 2.88. What is the nearest to j in g, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -16) + -6 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3852 - -3851.9. Which is the closest to z? (a) 4 (b) 5\/3 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*i**6*r + 2*i**3*r**3 - 7*i**3 + 6*i**2 - 7*i*r**2 - 2*r**3 wrt i.\nAnswer: 3120*i**3*r + 12*r**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -29*v**2 + 1098*v - 928. What is g(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 4*o = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3127*b - 109516. What is k(35)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**4\/6 + 35*i**3\/6 - 26*i**2. Let w be a(7). What is the third derivative of -35*g**3 - 3*g**3 - w*g**2 + 85*g**2 wrt g?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*1848\/1078.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17486\/56 + (-14)\/(-8). Put 4, 5, t, -4 in ascending order.\nAnswer: -4, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*q**3*r**3 + 10110*q**3*r + 2*q**3 + 2*q*r**3 + 273*q*r**2 - 18*r**3 - 21 wrt q?\nAnswer: 1026*q*r**3 + 60660*q*r + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 11539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 238396908 to the power of 1\/2, to the nearest integer?\nAnswer: 15440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 14*d**5 + 2*d**5 + (-3*d**2 + 3*d**2 + d**3)*(-5*d**2 + d**2 + 2*d**2) + 4*d**5 + d**3 - d**3.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1435, -2\/5, 1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 80*s = -44*s + 2. Which is the fifth smallest value? (a) s (b) -2 (c) -0.02 (d) 14\/9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 + 1 - 4 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 292073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + -1*2. Suppose 0 = 75*m - 119*m - 176. Put m, w, 4 in descending order.\nAnswer: 4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 + -31 + -4 + -7 + -34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y + 4*y**2 - 8*y**2 + 24*y - 24*y + (-3*y + 3*y - 2*y)*(-3*y + 5*y - y) - 2*y**2 + y - y + 2 - 6*y**2 - 2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739918, 2959685, 6659290, 11838727, 18497990, 26637073, 36255970?\nAnswer: 47354675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 44100 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t*t**(-1\/7)*t*t)\/t*t\/(t\/(t*t**7))*t**(-10)\/t**4)**(-1) assuming t is positive.\nAnswer: t**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*x = 5, -35 = -3*c + x + 3*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7540 by -7540.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f**2 - 1 + 4*f**2 - 2*f + 6*f**2)*(5 + 1 + 4)*(-2 + 1 + 3) in the form l + b*f + s*f**2 and give s.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 12*u**2 - 26*u + 38. Let j be b(-14). Let c be 40\/16*16\/j. Solve c*m - 2*d = -18, 3*m - 4*d + 8 = -3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -0.5, -5 in increasing order.\nAnswer: -5, -0.5, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/12 + 669*g**5\/10 - 401*g**4\/6 - 62*g**2 + 26*g - 1. Suppose i(p) = 0. Calculate p.\nAnswer: 0, 2\/5, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2423, -0.06, -3 in decreasing order.\nAnswer: -0.06, -3, -2423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 0*z**4 + 0*z**4 + z**4 + (-3 - 4 + 4)*(0*z + z**4 + 0*z) in the form i*z**3 + a*z + m*z**2 + s*z**4 + x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 24. Suppose -5*b + w + 0 + 24 = 0, -5*b + r*w + 28 = 0. Let m be 1\/b - 44\/(-16). Calculate the greatest common divisor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v. Let q(c) = -5*c. Let b(t) = -6*d(t) - 17*q(t). Let p(k) = 12*k - 6 - 7*k + 9*k - 9*k - 8*k. Determine b(p(l)).\nAnswer: -3*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(500)*-3 - sqrt(500)))**2.\nAnswer: 13\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/17298 and 37\/8649.\nAnswer: 17298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -70.6, 2, 5, -0.08, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1080*q + 405*q + 3173*q)*(-1 - 3 - 1)*(3 + 3 - 5)*(2*q - 4*q + q).\nAnswer: 12490*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/28 and -17\/61140.\nAnswer: 427980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3292*m - 6594*m + 3290*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w**2 + 30 + 7\/6*w**6 + 0*w**4 + 0*w + 8*w**3 + 0*w**5. What is the third derivative of p(f) wrt f?\nAnswer: 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/3 + 43805*x + 215005450\/3.\nAnswer: 5*(x + 1753)*(x + 24530)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 8. Let u be m(-3). Let a be 978\/1*4\/20. Let n = a + -195. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 + 536967*n\/7 - 1610874\/7.\nAnswer: -3*(n - 178986)*(n - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 69. What is the tens digit of f(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4 = 4*r. Suppose r*h = g - 10, 3*h = 3*g - h - 22. Suppose g*k - 27 = 23. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 17 + 7 - 3) + -29 - (0 + 2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*l - 2, 3*l - t - 1 = -4. Let c be (-2)\/(2\/7)*l. Solve -3 = 2*b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -24*o. Let w be f(-6). Let b = 20 + -4. Calculate the highest common factor of b and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 - -253. Which is the nearest to 2? (a) n (b) 5 (c) 4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 1. Suppose y + 3*z = 133, 10*z - 15*z = -2*y + 244. Suppose 0 = 5*c + a - y. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 680344?\nAnswer: -680349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 3901912.\nAnswer: 19509560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from mmiemeemnm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35932505, 35932522, 35932539, 35932556?\n\"Answer: 17*c + 35932488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/32*668\/(-167))\/((-2)\/4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 1\/6*m**3 - 1\/8*m**4 + 2 + 0*m + 0*m**2. Factor r(b).\nAnswer: -b**2*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0 + 0*m**4 - 1\/720*m**6 + 1\/2*m**3 + 4*m**2 + 0*m**5 + 0*m. Let x(h) be the first derivative of u(h). Factor x(n).\nAnswer: -n**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466910 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6, -c - 24 - 13 = -5*x. Differentiate 0*h + x - 4*h**2 + 0*h + 0*h with respect to h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -64. What is the greatest common factor of 76 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 2*y)*(4 + 1 - 2*y + 16).\nAnswer: -2*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2 + 2076*i + 24336 = 0 for i.\nAnswer: -507, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442.7 - -435.7. Sort 0.3, f, -2\/23, -2.\nAnswer: f, -2, -2\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/12456 and 149\/473328?\nAnswer: 473328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*z**2 + 9 + 0 - 6 to the form w + v*z + i*z**2 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6491 is divided by 181?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:42 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-9)\/6) - -4. Let k(o) = -o**2 + 5*o - 4. Suppose -2*g + 3*i + 11 = 0, -5*g + 2*i + 25 = -3*i. Let z be k(g). Solve -2*m + m - r = z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**2 + 689*o - 107. Determine j(86).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 54. Let v = -3.2735 + -18.8195. Let n = d + v. What is n rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 5*v**2 + 4*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3624*v + 25 = -3627*v - 4*o, -29 = -v + 4*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*f**3*o**3 - f**3*o**2 + 2*f**3*o + 24122*f*o**3 + 87*f*o**2 + 297*o**2 wrt o.\nAnswer: -192*f**3 + 144732*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91398\/73 + 1252. Let w = -0.1525 - 0.2475. Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35100 divided by 130\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 9*y - 12*y - 2*x, -5*x + 104 = 2*y. Let k = -440 - -467. What is the remainder when y is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 284724.\nAnswer: 569448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(484)*1) + (6*-2*sqrt(448) + sqrt(448))**2 + 1.\nAnswer: sqrt(7)\/11 + 54209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i**4 - 2232*i**3 + 3351*i**2 + 1305*i + 114 = 0 for i.\nAnswer: -1\/6, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*r = 20, 17*y - 5*r + 25 = 16*y. Is y greater than or equal to -16\/643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39966.\nAnswer: 2, 3, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r - 7*r + 59*r - 32*r - 6*r - 11*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4695581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 2*k)*(4 - 3 - 2 + (0 - 6 + 4)*(1 - 3 + 1) - 10 - 13 + 15 + 3 - 3 + 1).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8888 + -8885. Let c(v) be the first derivative of -t - 1\/2*v**2 + 7*v. Determine c(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180 + -160. Let h be 0 - -1 - ((-12)\/(-4))\/(-3). Solve 0 = h*n - 2*q, 4*n + 2*q - f = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308555 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**4 - 546*p**3 + 12057*p**2 + 1536696*p + 1524096 = 0.\nAnswer: -189, -48, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -42. Suppose -3*y = -0*y - r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -202554?\nAnswer: 203003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 84.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32704409 - 3?\nAnswer: -32704410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1978.04 - 1978. Which is the closest to 0? (a) -0.5 (b) v (c) 2\/23 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*x**2 + 525*c*x - 598170*c + 23*x**2 + 2*x with respect to x.\nAnswer: 4*c*x + 525*c + 46*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 23*c + 3*c - 7*c - 58*c.\nAnswer: -56*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 + 3 + -4*sqrt(17)*1)**2.\nAnswer: -24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -370 - -375. Which is the closest to -1? (a) 1\/4 (b) w (c) 4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-20) + (-526)\/(-5).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264250 and 250.\nAnswer: 264250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 5\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = g - 4, 0*g = -5*g + o + 44. Let f(j) = -j + 44. Calculate the lowest common multiple of 40 and f(g).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920) + 3*sqrt(1920))\/(sqrt(1500)\/sqrt(10)) + -1 + (-1*-2*sqrt(5))**2 + -3*((2*sqrt(55))\/sqrt(11))**2.\nAnswer: -41 + 32*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 + 8 + -2. Suppose -v*r + r + 24 = 0. Let h = r + -5. What is the greatest common factor of h and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 11*i**2 + 2*i + 1. Let y be b(11). Suppose 3*w - y = 406. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(3\/5)*x*x*x*x**(-19)*x assuming x is positive.\nAnswer: x**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from llllllol?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 48 - -6 - ((-3 - -4) + 2 + -62)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*d - 2*z, -6 = -6*z + 3*z. Let b(t) be the first derivative of t**3\/3 - 7*t**2\/2 - 5*t - 807. Determine b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 + 72900*v**3 - 265939110*v**2 + 1593666900*v - 2389516605 = 0.\nAnswer: 3, 7287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 82. Let s = d + -24. Let j = -17 + s. Which is the nearest to 2? (a) 3 (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1173, -2347, -3527, -4713, -5905, -7103?\n\"Answer: -3*t**2 - 1165*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (59\/(-7))\/((-6)\/21). Let u = 29 - t. Which is the second smallest value? (a) -2 (b) u (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c**2 + 2*c - 1. Let v be i(6). Let a = v - -4631\/6. Calculate the common denominator of 6\/(-9) - (-26)\/(-12) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from qqmqqyy.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + w**4 - 4*w**4 + (w**3 - 3*w**2 + 3*w**2)*(-3*w - 2*w - 2*w).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 455192863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*w**3*x + 2*w**3 - 94*w**2*x + 19175*w**2 + 18*w*x + 25*w + 10*x + 19 wrt x.\nAnswer: 12*w**3 - 94*w**2 + 18*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(18)\/sqrt(3)) + (sqrt(2) + 2)*2 + -2*sqrt(4)\/sqrt(2)*-1)*6)**2 + 5.\nAnswer: 1440*sqrt(2) + 2381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/57*(-446)\/(-3). Let h = x - -352. Which is the biggest value? (a) h (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-4)\/8). Suppose z*c - 7 + 2 = y, -2 = -2*c + 2*y. Solve -5*s - 14 = p, 3*s + 3 = c*p + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y - 4*u + 176, -2*y + 57*u - 55*u + 2029 - 2033 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 6 - 3)*(0*u + 0*u + u**4) - 14*u**3 + 14*u**3 + u**4.\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20594857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 8. Let s be g(-11). Let j be (s\/45)\/((-2)\/(-10)). Let o = -2 + j. Solve -5*i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 219*f - 195*f - 100440. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2430 and 972.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1249.1366 + -20.2466. Let c = -1223 + w. What is c rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 115 = -0 + 13 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3. Let f(m) = 3*m**3 + 3. Suppose 4 = 2*l - 4. Let x(n) = l*a(n) - f(n). Let q(r) = -r**3 - 2*r**2 - r - 2. Let k be q(-2). What is x(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*y + 1027 - 2056 + 1030)*(-3*y - 2 + 2)*(y + 3*y - 2*y).\nAnswer: -1602*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 7*r**2 + 6. Let u be l(-7). Suppose u = 2*g + 2. Find the third derivative of -2*f**4 + f**g + 1 - 1 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**2 - 24*g - 133. What is q(-4)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -786 + 791. What is the third biggest value in g, -4\/5, -3, 1\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + z + 0*z - 432 = 0, 0 = -2*g + 2*z + 280. Let b(f) = -f - 59. Let u be b(0). Let t = u + g. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115.3 - -123. Let p = -8.7 + k. Let r = -163 + 655\/4. Which is the nearest to -1? (a) p (b) r (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20460 + -14?\nAnswer: -20474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10*15*832\/38400\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152662640 and 6458804.\nAnswer: 1679289040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 9*n**2 + 4*n**2 + 9*n**2 in the form m*n**2 + w*n + c and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*q + 6 = 0, -q + 24 = 4*p - 6*q. Let i be (p\/(-1))\/(4\/(-12)). Suppose 4*c + 230 = i*d, -229 = -2*d - d + 5*c. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(98*1\/(-161)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8 = 2*k, 3*b + 5*k - 1 - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -173072 - -7615617\/44. Let m = 214\/11 - o. Let d = -24959\/7 - -3558. Find the common denominator of d and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472418 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let j = u - -2.98. Let n = 1.98 - j. Which is the third smallest value? (a) 1 (b) n (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12*(-16)\/(-92)*22. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2 - 0, -v + 2 = -m. Suppose v = 11*d - 10*d - 39. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 213 + 2*z - 2*z**2 - 454)*(z**2 - 2*z**2 + 3*z**2) to the form y + q*z**4 + s*z**2 + u*z**3 + b*z and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 6:55 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 72\/(-56))\/((-47)\/6251)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 17*t**2 - t + 21. Let h be s(17). Let i be 0 - -1 - (-45)\/(-40). Sort h, 3, i in descending order.\nAnswer: h, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 172. Calculate h(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15572, 31143, 46714, 62285, 77856, 93427?\nAnswer: 108998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 75*j**2 + 113*j + 380. Calculate k(36).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -493044099469.7 - -0.6.\nAnswer: -493044099469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -11. Suppose m*s - 20 = -2*s. Let j = s + 0. Sort j, -3, -5.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222509467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-8)\/(-2))*-4. Suppose z*q = -o + 33, 4*q = -2*o - q + 67. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or -7\/2?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61122243 and 730.\nAnswer: 611222430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 242*u + 3. Let h(m) = m - 2. Determine h(s) + q(s).\nAnswer: 243*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 1. Let c(u) = -6 - 4*u + 0*u - 4*u**2 + 4*u. Suppose -5*y + 4 = -4*i, -5*i = 6*y - 5*y + 5. Determine i*c(f) - 6*b(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34744016 divided by -17372008?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (860\/(-4730))\/(58\/(-25201))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**40*r*r**40 assuming r is positive.\nAnswer: r**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/48 and 65\/115766.\nAnswer: 2778384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*d - 1 - 2 - 98*d + 2*d**4 in the form b*d + l*d**3 + t + u*d**2 + w*d**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d**2 - 14 - 17*d**3 + 18*d**3 - 13*d**2 - d in the form m*d + t*d**3 + s*d**2 + p and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2135011*j**3 - 355*j**2 + 636*j.\nAnswer: -12810066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -26\/3*d**3 - 16\/3*d**2 + 0 + 28\/3*d**4 + 8\/3*d + 10*d**5 = 0.\nAnswer: -1, 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w. Let i = -2.1 - -1.1. Which is the closest to 0? (a) -1\/2 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 6\/11 (b) 535 (c) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 56 + (3 + -1 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8227, -8161, -8079, -7975, -7843?\nAnswer: -7677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 77563608*z + 77563604.\nAnswer: 4*(z - 19390901)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/760*(-80)\/(-230).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -3*h - a, -a = -5*h + 20. Suppose -h*l + 4*p + 0 = -38, 2*l = p + 17. Suppose 7*b + 102 = l*b. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51393 or -51091?\nAnswer: -51091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 15 = 5*m + 15*g, -m - 5 = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -11 (b) -162\/11 (c) 7\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225.071123 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.232 in -1\/3, 0.3, -2\/7, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 636.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + j - 2*j + 1 - 1 - j + (4 - 4 + 2*j)*(2 + 0 - 3) + (-671 - 300 + 284)*(-j + 0*j + 0*j) as g*j + w and give g.\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36277491.\nAnswer: 3, 12092497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2*(0 - 1)). Suppose -2*c - 2*m + 12 = -v*c, 20 = 5*m. Suppose 0 = -5*q + 5*f + 144 + 56, -82 = -c*q + 3*f. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -234 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10540 - 10535. Sort y, 3, 4, 19, 0.1 in ascending order.\nAnswer: 0.1, 3, 4, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-20))\/(36\/24)*0. Solve v = -30*l + 209 + 1 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/3 + 112*q**2 - 3136*q + 87808\/3.\nAnswer: -4*(q - 28)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477941 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5823.793 centuries to decades.\nAnswer: 58237.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -49. Let y be (14 + -5)*(-12)\/(-3). Find the common denominator of 3 + 6\/y*-109 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -16649, 2\/19, -3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442455535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 5*a**2 + 5. Let w(y) = -y**2 + 4*y + 7. Let k be w(6). Let s(v) = -2*v**3 + 3*v**2 + 3. Determine k*s(c) + 3*h(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33619*a**4 - 48161*a.\nAnswer: -403428*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5978 divided by -1.\nAnswer: 5978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3603 and 4.\nAnswer: 14412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/4 - 75*u**4\/2 + 38*u**3 + 75*u**2\/2 - 151*u\/4 = 0. What is u?\nAnswer: -151, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 314 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*r + 12, 0*s + 4*s - r + 6 = 0. What is the nearest to -0.1 in 3, 10, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120524.\nAnswer: 2, 29, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + -1 + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7124 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 35 = 13*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1410144002?\nAnswer: -1410143444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4083126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1068 + 1068.00000894. What is c rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(3\/9)\/(10\/6). Suppose 4 = -4*z - 0*o + 2*o, 2*z + 5*o + 2 = 0. Which is the second smallest value? (a) z (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1470, -1664, -1834, -1968, -2054, -2080, -2034, -1904?\nAnswer: -1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 0*z + 2*z - 2*z - 7*z - z + (-1 + 3 + 3)*(-z + 0*z + 5*z).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/9)*(u\/(u*u\/(u*u**5)))\/u)**17 assuming u is positive.\nAnswer: u**(748\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 5. Let o = 4 + -8. Let v be f(o). Is 26\/3 - v\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -11317*s**7\/42 - 31*s**4\/4 + 6*s**2 - 11777*s. What is the third derivative of g(v) wrt v?\nAnswer: -679020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - -0.25. What is the closest to -2 in 5, 2\/15, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:50 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 12. Let j(m) = 4*m - m - q*m - 3*m**2. Let k(x) = -x**2 + 4*x**2 - 7*x**2 + 2*x**2. Give k(j(u)).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24051\/272578*17\/21.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 10*b**2 + 35*b - 21. Is m(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 - -12 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4578 * 0.1.\nAnswer: -457.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -1215, -1880, -2605, -3402?\nAnswer: -4283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1122, 6, -1\/4, 4\/3, 2\/11?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/30)\/(28\/48*4\/14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**8)\/q*(q\/q**(-2)*q)\/q*((q*q\/q**(-3))\/q)**5 assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -123600000 to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(192) + (-6*sqrt(192)*3 - sqrt(192)) + sqrt(192)))**2.\nAnswer: 221952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(189\/(-119)) + 2. Which is smaller: 2.148 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) 3 (c) -2\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 507 and -111883854.\nAnswer: -111883347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416 and 5172.\nAnswer: 537888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/17)*d*d)\/d)\/d*d*d**(2\/7)*d)**(34\/3)\/(d**5*d*d**(-4\/5)\/d*d**(-1\/2)*d**(-1\/2)) assuming d is positive.\nAnswer: d**(3434\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721913017043 take away 7?\nAnswer: -1721913017050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 5*u - 3. Let j(h) = -310*h**2 - 634*h + 3. Let g(q) = -2*j(q) - 2*t(q). Find the second derivative of g(n) wrt n.\nAnswer: 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 - 2 = 0. Suppose 0 = -s - n*s + 52. Calculate the remainder when 22 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 28. Let r(n) = m - 23*n + 15*n + 12*n + 14. What is the tens digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by (-27)\/(-12)*420\/45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567756 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/285 and 76\/4713.\nAnswer: 447735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62.6 and 259736?\nAnswer: -16259473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -268034, -1072851, -2414212, -4292117, -6706566, -9657559?\n\"Answer: -268272*c**2 - c + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 16*y + 1. Suppose 119*p - 2465 = 6473 + 7246. Calculate the remainder when p is divided by t(-19).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7579027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-1 - -2) + 130 + 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2957267 is divided by 599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2811196 = -448*k + 3414021 + 259135. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3*c*c\/c**6)\/((c\/(c*(c\/(c\/(c*c*((c*c**(4\/3))\/c*c)\/c*c)))\/c))\/c**(1\/2)))**(9\/4) assuming c is positive.\nAnswer: c**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14545451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) + sqrt(5)*1*2 + sqrt(5) - 6*(3 + sqrt(5) + sqrt(5))))**2.\nAnswer: 1152*sqrt(5) + 2576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253117689 to the power of 1\/3, to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millimeter in micrometers?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1033526, 2067063, 3100600?\n\"Answer: 1033537*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 63*n - 677. Give d(51).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 822, -1\/4, -7\/230?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2298 divided by 3.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 7*r**2 + 6*r + 11. Let m be l(8). Let f = m + 5. What is i in -3*i + 8*i**2 - 3*i**3 - 2*i**2 + f*i**3 + 0*i = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*q - 12 = -152*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223*l - 20923 + 20923)*(0 - 1 + 0)*(5*l**4 - 5*l**4 - 2*l**4).\nAnswer: 446*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 1820*j + 410000.\nAnswer: 2*(j - 500)*(j - 410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45986339 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*g + 1696 = -143*g + 137*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -756510 - a2?\nAnswer: -756602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 51354.17mg?\nAnswer: 0.00005135417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 4:00 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 31 = -4*l, 2*l - 4*l = -h - 11. Suppose -l*j = -4*b - 6*j + 90, 2*b = 2*j + 60. Calculate the greatest common factor of b and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*s - 560 = -217*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -195200, -195201, -195202?\n\"Answer: -n - 195199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: List the prime factors of 2190.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:50 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/5 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005282626 to 6 decimal places.\nAnswer: -0.000528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*y = 2*i - 103, 4*i + y + 72 = 0. Let c = -12 - i. Let q(t) = t + 7. Let o be q(c). Calculate the greatest common factor of 21 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2532 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 291.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:05 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 11*g + 21. What is i(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2206 - -2178 - (0 + -66)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 654*a**3 + 817 wrt a.\nAnswer: 1962*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x - x**4 + 3*x**4 + 7*x**3 - x**3 - 5*x**3 to the form g*x**3 + o + n*x + r*x**2 + p*x**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(20)*6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 111 = -103. Let k(f) = -24*f - 7. Let d be k(7). Let r = v - d. Is 34 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -8. Solve -15*y - v*y + 54 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 8 - 2*a**2 + a**2 - 2*a**4 + a + 35 as j*a**3 + t*a**2 + k + x*a + z*a**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222191 < 1222194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -0.5, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -330687 divided by -3?\nAnswer: 110229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -37*x**5\/60 + 7*x**4\/12 - x**3\/6 + 17*x**2. What is the second derivative of w(z) wrt z?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 596\/645509 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7954448 and -55\/36.\nAnswer: 71590032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -94?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -5 (b) 26 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 0 + 0 + 6*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 - 4 = 0. Suppose -2*d - 2*k = -z, -13 = 3*d - 4*d - 4*k. Find the second derivative of d*y**2 - 3*y**5 - 2*y - 3*y**2 - 2*y**2 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190163704 divided by -9851?\nAnswer: -19304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.35306 to 3 decimal places.\nAnswer: 0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11674 + -19856. Let g = -8181.92038 - v. Let x = 0.08 - g. What is x rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212012 - 2?\nAnswer: 1212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8 = 4*c. Find z such that -10*z + c*z + 3*z - 3*z**2 + 6*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -64*w - 1. Let r = 13 + -9. Suppose 2*g + 12 = -r*g. Is s(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000161879 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r + 12*r = -78. Let f(b) be the first derivative of 0*b - r*b**3 - 8\/5*b**5 + 0*b**4 - 1 + 0*b**2. Find the third derivative of f(x) wrt x.\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(125) - (4*sqrt(125) + sqrt(125))))\/(2*(sqrt(1089) + -4*sqrt(1089))).\nAnswer: sqrt(2)\/1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*d - 3. Let z = -7 + d. Suppose 16 = 5*o + z*a, 4*o + 2*a - 6 = 6. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463477*h**4 - 11*h**2 + 26123554 wrt h?\nAnswer: -1853908*h**3 - 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117) + (sqrt(117) + (sqrt(117)*-1 - sqrt(117))*2 - sqrt(117))))\/(sqrt(63)\/(-3*sqrt(42)\/sqrt(6) - sqrt(7)))*5)**2*-4*2.\nAnswer: -9360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6 + 1 - 10*g - 2 + 6. Let v be w(9). What is the second derivative of v*j + 3*j**4 + 2*j**4 + 6*j wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 84, 16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 - 171. Sort -15, u, 4, -4 in descending order.\nAnswer: 4, u, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.1. Let w = -5 + 5. What is the closest to d in 3\/2, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0 + 1\/120*m**6 - 7\/20*m**5 + 19\/12*m**4 + 10\/3*m**3 + 39*m**2 + 0*m. Let t be q(19). Solve 0*a + 4*a = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396161?\nAnswer: 29, 117109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 8 = -4*h - o, o = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*y + 199*y - 127*y - 2625 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + v + 0*v**2 + 0*v**3 + v**2 - 22 - 4*v**3 - 2*v**3 as i + r*v**2 + a*v + s*v**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4064627 is divided by 240?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313274 - -3?\nAnswer: -313271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/165 and -7\/5991980.\nAnswer: 197735340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-471)\/(-314)*4\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-204*m + 442*m + 278*m)*(2*m**2 - 2 + 2)*(-2*m**2 - 4*m**2 + m**2).\nAnswer: -5160*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b - 1615?\nAnswer: -1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*p*t + 2*h**2 - 19*h*p*t - 5*h*t - 59*t wrt p.\nAnswer: -h**2*t - 19*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1251*l - 370290. Determine g(296).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -116. Suppose -18*c + p = -72. Solve -4*f + 4 + 20 = c*k, -3*k = -5*f + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2254 and 1012.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -113577, -454356, -1022319, -1817466?\n\"Answer: -113592*n**2 - 3*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 21*h - 58*h.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = m. Let q(w) = w**3 - 2*w**2 + w - 3. What is the units digit of q(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1064 - -753. Let i = -314 - z. Which is the second biggest value? (a) i (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-20)\/65)\/(55\/(-715)) and 374.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/10465 and 72\/177905?\nAnswer: 177905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 460\/3. Suppose -3*r + 1810 = 5*z, 2*z - 23*r + 24*r = 725. Let g = z - s. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 3*q. Let j(s) = -12*s**2 + 8*s. Suppose -16 = 3*o - o. Let p = 169 + -172. Give o*f(a) + p*j(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/15)\/((-24)\/780). Let p(q) = -q. Let c be p(0). Suppose -3*n + d + 277 - w = c, -3*d + 155 = 2*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 v when four letters picked without replacement from {l: 6, v: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2334, -4635, -6936, -9237, -11538, -13839?\n\"Answer: -2301*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (10 + -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/12 (b) 0.1 (c) -1442 (d) -1\/2 (e) -0.09 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q + r = 5, 4*q = -5*r + 25. Suppose j - 5 = -q*j. Suppose -4*t = -4*v + 12, 17 - 1 = j*v - 4*t. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3100*f**4 - 51?\nAnswer: 12400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146367 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 f when four letters picked without replacement from fffffffffpfpffpfpf.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100002 (base 3) to base 14\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -14*a + 38 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 544, 543, 542?\n\"Answer: -j + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 142 in ascending order.\nAnswer: -5, 1, 3, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 8*b**2 - 13*b + 9. Is 43 a factor of x(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 34*r**2 + 111*r - 10. Determine q(37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {i: 8, g: 8, y: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4035468.76999907 - 4035470.78. Let z = v + 2.01. Round z to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -772, -2570, -6076, -11860, -20492, -32542, -48580?\n\"Answer: -95*g**3 + g**2 + 2*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86591123*p**2 + 133*p - 121921?\nAnswer: 173182246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7}. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 13. Suppose -3*i + 4*h = -8, -h = i + 1 - d. What is the second derivative of -38*a + 2*a**3 - i*a**4 - 2*a**3 + 33*a wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -771 + 1079. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20779*p**3 + 7236.\nAnswer: 62337*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108988740 divided by 259497.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0983 - 0.2017. Let g be 2 + 2\/(4\/(-4)). What is the closest to -1\/2 in g, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60597, -61087, -61907, -63057?\n\"Answer: -165*l**2 + 5*l - 60437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1301, 2627, 3963, 5315, 6689, 8091?\nAnswer: 9527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 5 (b) -54 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 26367?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 5:21 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 187.797 and -0.001422836.\nAnswer: 187.795577164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -256, -382?\n\"Answer: -126*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 40 = 5*x. Suppose -5*d + 42 = -x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-3)*(-11685)\/(-24928)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 12*f + 8*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**0\/n*n))\/(n\/(n*n**(2\/5))))\/(n**1*n\/(n*n*n*(n*n**(-6))\/n*n)*n) assuming n is positive.\nAnswer: n**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4 - -4) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7285 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145258 and 13924.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 4. Let u(o) = 18 - 10*o + 14 - 1 - 7*o. Let d(z) = z - 4. Let s(j) = -6*d(j) - u(j). Determine 5*g(t) - 3*s(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 4*t**2 + 4*t + 2. Let a(v) = -3*v**3 + 5*v**2 - 4*v - 3. Suppose -4*r = -20*r - 64. Calculate r*a(k) - 5*p(k).\nAnswer: 2*k**3 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -51\/11, 14\/55, -1, -0.1, 2, -1\/3?\nAnswer: -51\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose -8*j - 2*v + 1 = -11*j, 5*j - 35 = -4*v. Suppose -4*a + 6*l = j*l + 11, 0 = -3*l + 15. Solve h*i + 1 + a = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4590 - 2287 - 2296)*(-2*h + 5*h - 2*h + (2 + 2*h - 2)*(0 + 0 + 2)).\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 8 = 4*b. Sort 2, 3, b.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221021311122 + -23?\nAnswer: -221021311211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21283700 divided by 4.\nAnswer: 5320925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-6)\/9. Let j = -14.2 + 14. Is r greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15810 + 995. What are the prime factors of b?\nAnswer: 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41353 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57984 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 1514190?\nAnswer: 11\/504730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 5*m**2 + m + 4. Let p be o(-5). Let y be ((-3)\/p)\/(2\/20). Suppose -4*j - 12 = -6*j. Calculate the highest common divisor of y and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41417155 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 20*x - o - 4 = 0, 6 = -3*x + 3*o. What is the second smallest value in -16, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59cb1 (base 14) in base 3?\nAnswer: -102010210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -836\/453 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/99)*50\/(-60)*(-204)\/85.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213334 is divided by 9274.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/3 (c) -1\/3 (d) 0.02 (e) 103 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 915*r - 119092. Calculate q(130).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 5*k - 8. Let t be z(-5). Suppose -50*i = -53*i + 75. Let v(w) = 14*w - 5*w**2 + 4*w**2 - 12 - i*w. Determine v(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -198. Let x = 73 - q. Calculate the greatest common factor of x and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5134686933 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 641*a**6 + 45*a**2 - 3 wrt a.\nAnswer: 76920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 0, 6*r - 3*r + 5*u - 302 = 0. List the prime factors of r.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -36, -0.5, 2\/11, -43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + (-8 - -5)*1. Let r(s) = -5 + t + 3*s + 9 + 0. Suppose 18 = 4*a - 10. Let f(v) = -v - 2. Determine a*f(m) + 3*r(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.4 - -14.4000034. What is x rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 (base 6) in base 12?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424*y + 1290 = -418*y. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/((-1380)\/(-96))*-10. Calculate the greatest common divisor of 1712 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 3, -25, 2, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -25. Find the second derivative of -n + 20 - 2*a + 3*a**2 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -7, 0.5, 2\/77, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 + 38\/(-8). Let r = b - -8. Find the first derivative of -2 + 11*t - t**2 - 11*t + r*t**2 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/1 - -1 - -6. Let l(a) = -2*a + c*a + 4*a - 1 + 0. What are the prime factors of l(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -78, -5, 4, 0?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48779210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/2 - (2 + 5). Let x = d - -12. Determine h, given that x*h**3 + 2*h**3 - 9*h**2 + 5*h**4 + 3*h - 8*h**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 125 = 20*t, 97*t + 29 = 5*h + 101*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 709 and 5.5.\nAnswer: 3899.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 534203295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlzzdzzzlzzlll. Give prob of sequence zl.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3 + 68*h + 228 wrt h.\nAnswer: -3*h**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(14\/3)\/y**3)**(-14) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 18\/18787?\nAnswer: 18\/18787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49807 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399\/16, -3, 5 in decreasing order.\nAnswer: 399\/16, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 567, -921, -4471, -10083, -17757, -27493?\n\"Answer: -1031*p**2 + 1605*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let f(y) be the second derivative of y**3\/6 - 11*y**2 + 393*y + 2. Calculate f(q(u)).\nAnswer: u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111\/55 + 31\/11. Which is the second biggest value? (a) z (b) -1 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148943503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q = -79*q - 118*q + 17388. Let s(j) = j**3 - 6*j**2 + j + 6. Let f be s(6). What is the highest common factor of f and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v + 1. Let k(t) = -t**2 - t - 4. Let a be k(0). Let h(w) = -w**2 + 7*w + 1. Calculate a*h(i) + 5*q(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18291)\/268)\/91*8\/34.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102.6 + -100.585. What is l rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 + 2*x**2 + 2*x**2)*(846 + 67*x - 846) + (-4 + 2*x + 4)*(4*x**2 - 4*x**2 + x**2) in the form t*x**2 + b*x + f*x**3 + p and give f.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 38*g + 11. Let r(p) = -13*p - 4. Calculate -11*r(w) - 4*s(w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6253420?\nAnswer: 2, 5, 113, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let n = 2 + l. Suppose n = -2*a + 3*a. Are a and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17636*q - 184 = 17644*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 115 and 2680?\nAnswer: 61640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149257 - -149262. Determine q so that -3*q - 1\/3*q**x + 0*q**2 + 0*q**4 + 0 + 10\/3*q**3 = 0.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k**2. Let d(v) = 120*v**2 + v. Let b be ((-33)\/(-2))\/1*(-42)\/756*12. Calculate b*u(p) + 2*d(p).\nAnswer: -24*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, 1007, 611 in descending order.\nAnswer: 1007, 611, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.8 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 10*m**2 - 23*m + 177. Calculate b(6).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33728, 67451, 101184, 134933, 168704?\nAnswer: 202503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:19 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-735))\/((-2)\/(-14)). Let o(f) be the first derivative of a*f**5 + 0*f**3 + 9 + 10*f + 0*f**2 + 0*f**4. Differentiate o(j) wrt j.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -14, -43, -94, -173?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 55168668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -3 + sqrt(8)\/sqrt(4)*3 + ((-2*sqrt(216))\/sqrt(12))\/sqrt(9))**2.\nAnswer: -30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-3 + (((sqrt(637) + 1)**2 - sqrt(637)) + sqrt(637) - sqrt(637))).\nAnswer: 35*sqrt(13) + 3178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, 28, 132, 330, 652, 1128, 1788?\n\"Answer: 5*d**3 + 2*d**2 - d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(19) + sqrt(19) - sqrt(19)) + sqrt(19) - (sqrt(1216)*-1)**2.\nAnswer: -1216 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w - 3. Let r be z(-2). Is 2\/5 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 + 8)*16\/25*(-10)\/4. Solve 4*z + u - n = 0, 2*u = -3*z + 5*z - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595228?\nAnswer: 2, 3, 23, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/15 - 5*r**2. Suppose -21 + 9 = -2*k. Let a(v) = 2*v**2. Give k*c(u) - 14*a(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/66 and -173\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4 = 4*w. Let q = -77 + 79.4. Let f = -2 + q. Which is the nearest to w? (a) -0.6 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 624?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22370382395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 + 278.3. Let z = 13 - r. What is the nearest to -3 in z, -0.2, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4393 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 360*i - 393*i + 66 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (19 - 3) + -38 + 31\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*r - 51 = 0, q - 3*q = -r - 33. Let w = -77 - -104. Calculate the smallest common multiple of q and 18\/w + 104\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 7*p**2 - 8*p + 2. Is 13 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386 times -2.7553?\nAnswer: -1.0635458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*c - 148 - 245*c + 148)*(-11*c - 221 + 221).\nAnswer: 5346*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-21)*560\/200. Solve -6*u - n = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 7:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b - 1. Let w(n) = n**3 - 13*n**2 - n + 15. Let k(d) = 2*s(d) - w(d). What is the smallest common multiple of 52 and k(11)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (30 - ((-12 - -4) + 17)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -14, 2, 0.5, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -81a3?\nAnswer: 81a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9838 - 770.0838. Let i = w - -769. Which is smaller: 12\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 - 3*z**2 - 11*z**2 + 109*z**2 - 14*z**2 + 31*z**2.\nAnswer: 127*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 2*z + 1. Let f(x) = -5*x**3 + x**2 - 3*x + 1. What is -2*f(i) + 3*j(i)?\nAnswer: -2*i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.93 + 60.5. Let v = -2.2 - m. Let p = 0.229956 - v. What is p rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(360)*-2)\/((sqrt(8)*-1 - sqrt(8))*-1 + sqrt(8)) + -5)**2 + 2 + 4.\nAnswer: -60*sqrt(5) + 211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.7014 - 184.5086. Let f = a + 189. Let t = 0.59 - f. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49, 72, 95, 118, 141, 164?\n\"Answer: 23*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/8)*g\/(g*g*g*g**(1\/7)*g))\/(g**0*g)**39)**(5\/6) assuming g is positive.\nAnswer: g**(-11555\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775131, -775144, -775165, -775194?\nAnswer: -775231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*q - 7, r - q + 3 - 7 = 0. Let d(v) = -v**3 + 2*v**2 + 3*v + 1. Determine d(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-5) + (-6672)\/40. Let r = 250 + l. Let u = r + -48. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14 and 127\/474?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**3 - 17825*n**2 - 8915*n.\nAnswer: 5*n*(n - 1783)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -391036 and 16.\nAnswer: -391020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 5*n**2 - 3*n - 3. Let w be b(5). What is the smallest common multiple of 22 and w\/(-3 - -4)*-1?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 3:38 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.456126 centuries in years?\nAnswer: 345.6126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (3 - -2). Let s(l) = l + 2. Let r be s(d). Let a(q) = 2*q**2. Let h(k) = 2*k + 107*k**2 - 3*k - 108*k**2. Determine r*a(x) - h(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 856172507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c)**14*c*((c\/(c*c**(1\/16)))\/c)\/c*c\/c**(-12\/7)*c assuming c is positive.\nAnswer: c**(-7543\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25165458 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21093799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -30*d**2 + 2*d + 1. Suppose 0 = -2*t + 2*n + 2, 2*n + 9 = t - 6*t. Let y be p(t). Let h = -29 - y. Solve -k + 0*k + h = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 5*w - 12, 4*c + 5*w = 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 j when four letters picked without replacement from {o: 2, j: 5, g: 1, p: 1, c: 1, t: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-24)*-6)\/(3\/8). Suppose 2\/5 + 1\/5*t**b - 3\/5*t = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus -76?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 0*s + 3*s + 115 = 5*f - 12*s, -4*f = 3*s + 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601167 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444435?\nAnswer: 3, 5, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 185*v + 169 - 909. Solve 4 = -v*t + 2*f, -6*t = -2*t + 4*f + 28 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 12, k: 1}. Give prob of picking 1 k and 3 n.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/120 and -49\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 2, s: 1}. What is prob of sequence skkj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**3 - 4*v**2 + 2*v - 9. Let k(l) = -3*l**3 + 2*l**2 - l + 5. What is 3*b(i) + 5*k(i)?\nAnswer: 3*i**3 - 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-22) - 9193\/(-319). What is the derivative of a*v + 42*v**2 + 0 - 44*v**2 + 53 - 27*v wrt v?\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2740)\/(-55) + -1 + (-26)\/(-22). What is the greatest common factor of f and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4100, -1.\nAnswer: -5, -1, 0, 4100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24000 and 2496.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*j**4 + 2)*(-677 + 1045 + 194) to d*j**4 + v*j**3 + t*j**2 + f + x*j and give d.\nAnswer: -1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3 - 3*u + 2*u + 0*u + 0. Suppose -3*v - 2*v - 14 = -o, 4*o - 24 = 4*v. Suppose o*h + 20 = -h. Determine q(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = a + 2*k + 5, 0 = 4*a + 3*k + 3. Suppose -5*i + 4*q + 898 = 0, -3*i + 5*q - 2*q + 537 = a. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 + 21*t - 24*t - 45*t**3 - 111*t**3.\nAnswer: -183*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 137 = 2*m - 4*i, -4*m = -i + 273. Let t = m - -73. Suppose -3*z + t = -115. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let k be (-5)\/(10\/(-8)) - (2 + 2). Suppose 7*q - 35 = -k*q. Solve -q*j + o - 14 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 12, -63, 2, 0.21, -2, -3 in ascending order.\nAnswer: -63, -3, -2, 0.21, 0.4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13649*z - 9 = 13658*z. Let g(h) = 2*h**3 - 8*h**2 - 6*h + 6. Let r(t) be the first derivative of -t**3\/3 - t**2\/2 + t + 37. Calculate z*g(q) + 6*r(q).\nAnswer: -2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-159)\/5830*(-33)\/6)\/(9\/105).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 61769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 54 = -5*m + 38, 12*v + 4*m + 66 = 178 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, k: 2, w: 4, c: 4}. Give prob of sequence bkc.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4762022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -270\/35107 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13324882\/45655 - -191\/1985. Suppose -c = 1 - 293. Let l = n - c. Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 279290.\nAnswer: 558580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 560\/12*(-21)\/(-4). Suppose 0 = 5*k - 4*i - 245, 4*k + k = 5*i + c. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y - 3. Let m be k(-9). Let a = m - 19. What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.1 - 13. Let u = 19217 - 19217.02. Sort u, d, 4.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*t - 3)*(-t + 0*t + 3*t + (0*t + 2*t - t)*(3 - 5 + 5)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 + (-4)\/(-4))*(-75)\/(-9). Suppose 0 = 2*s + r - c, 0*s - 4*r = -s + 7. Suppose 0 = z - 11 - 32. Calculate the remainder when z is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*-18*(-115)\/(-276)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-15 - (-16 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 11*x**3 - x**4 - 2 - 3 + 32 - 10*x - 25 as a + t*x**4 + w*x + y*x**3 + g*x**2 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*3*5*-3 + (4*(sqrt(104)*2 + sqrt(104)))\/(sqrt(128) - sqrt(128)*2).\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/31)*p*p\/(p\/(p\/(p\/(p*p**(-27)\/p*p)*p))*p) assuming p is positive.\nAnswer: p**(-808\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 290 - 286. Solve 0 = -2*h - 4 - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141034588*r**4 - 294284972*r wrt r?\nAnswer: 1692415056*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:07 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o. Let l(z) = -306050*z**2. Calculate l(g(x)).\nAnswer: -306050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 4, -0.03, 0.5, -1139, -428?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66733039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2957 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6980 in -0.2, 5, 4\/9, 2, 1\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269258819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/590238 and -179\/990.\nAnswer: 2951190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -6*b + 19*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b = 165*b - 372*b + 1360 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 12. Let i be y(9). Suppose 7*w + i = 87. Solve 0*j + 2*v - 2 = 5*j, -w = 3*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 46326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145453283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.083 + -0.317. Let l = 19.4 + -12. Let y = l - 7.6. Is y not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -7 - -1 - (8 + -15 - -11 - -147).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 415849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1133334*m - 2. Let t be i(-3). What is t rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t + 2*t + (-10 + 10 - 1)*(4 + 0 - 1)*(-1 + 1 - t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 0*d + 10 = g*d - m, 5*d + m - 11 = 0. Suppose -k + 2*l + 21 = -12, d*k = 3*l + 87. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/6 - 7*u**3\/6 - u**2. Differentiate q(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**4 - 181*n - 22*n**3 - 440*n**5 + 443*n**5 + 3*n**4 wrt n.\nAnswer: 60*n**3 - 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = r + 39077, -5*r + 4933 - 24503 = -y. What are the prime factors of y?\nAnswer: 5, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 25. Let u be z(8). Solve -a + 6 = u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5*(sqrt(396) - (sqrt(396) - (sqrt(396) + -1)) - sqrt(396)))**2 - (-3 + sqrt(396) + -1)**2).\nAnswer: -387 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9091.\nAnswer: 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54574 is divided by 18173.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -48, -118, -216, -342, -496?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1809 or 6477?\nAnswer: 6477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 772722497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1709*a - 1080. What is the thousands digit of m(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (650\/(-39))\/(-25)*-1*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiiiiiiiwiiiii?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f - 2. Let z(y) = -5*y + 51. What is the remainder when i(-2) is divided by z(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-8)*1976\/4446?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 101*z\/4 + 25.\nAnswer: (z - 100)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-25)\/20)*1. Solve -v*f + 4*r = -0*f + 20, 0 = 3*f - r + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((32*k - 399 + 399)*(-2 + 5 - 4) - 12 + 5*k - 3*k + 9)*(-9 + 9 + 4*k).\nAnswer: -120*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + s - 2 + 3)*(-s**2 + 5*s - 5*s)*(158*s**2 + 8*s**2 - 36*s**2).\nAnswer: -130*s**5 + 260*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 313 = 3*x, 197 = x + x - 5*f. Let l = x - 102. What is the remainder when 197 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 - -1 - (-7 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48, 47, 46, 45, 44?\n\"Answer: -v + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38112 and 128880.\nAnswer: 102330720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1870*-5.\nAnswer: 9350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -1. Let o(v) be the first derivative of -v**2 - 7*v + 14. Give o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7cfc3 (base 16) to base 5.\nAnswer: 112340224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - l = -2 + 39, 3*o + 3*l - 15 = 0. Let z be (1\/2)\/((-3)\/90). Let j(q) = -q**3 - 15*q**2 - q - 13. Let s be j(z). Solve 5*f - s = -o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/6 (b) 2 (c) 13 (d) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -18. Find the first derivative of -20 + 1 + h*w**4 + 1 wrt w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106 - -7)*((-2)\/(-10) + 637\/(-5460))?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -49*s - 4. Let t be f(-3). Let o = t - 27. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3 + 5*k - 3 - 1. Let t be c(3). Suppose -4*q + t*q - 3*z - 43 = 0, 2*z = 3*q - 33. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 5 - 5 + 4*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l*l*l**(-1)*l*(l*l**(1\/5)*l*l)\/(l\/l**(-2\/7)))\/(l**(1\/4)*l**(2\/13)*l*((l*l**(1\/5))\/l)\/l**(-5)) assuming l is positive.\nAnswer: l**(477\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a27a0 (base 11) to base 9.\nAnswer: -247718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*g = -4503 + 2111 - 2942 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4889488*m**3 - 46*m + 7132?\nAnswer: 29336928*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 11 + 48)*(5*y - 2*y - 2*y) to f + l*y and give l.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2 (c) 0.11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (19 - 1945)*1\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/12 - (-17)\/(-102). What is the common denominator of -33*(y - 94\/36) and 27\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2*n - 1. Let p be f(-3). Let y = -10 + p. Let i be (-2)\/y + 34\/(-8). Sort 5, i, 0 in descending order.\nAnswer: 5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 12 - 2 = i, 5*c + 3*i + 14 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 583 + -392. Is y a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810 + 1.\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 - 2*o**2 - 20*o**3 + 2*o**2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - u + 126 - 39 = 0, 5*u = -90 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1362\/11 + 124. What is the nearest to -0.1 in a, -7, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(2\/11))\/q)*q)\/((q**(-1)\/q*q)\/q))**(-41)\/(q\/(q**5*q)*q\/((q**(2\/7)*q)\/q)*q*(q**(2\/5))**(-2\/17)) assuming q is positive.\nAnswer: q**(-1002777\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(72)\/(sqrt(40)\/sqrt(5))) + -6*(sqrt(5) + -1 + -2 + sqrt(5)).\nAnswer: -11*sqrt(5) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 119901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 908745\/113 + -8042. Let c(w) = -w + 3. Let q be c(2). Is b less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1800 = 13*b. Suppose 3*c - c = -5*q + b, -c - 185 = -5*q. Calculate the remainder when 149 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1046.173171.\nAnswer: 1049.173171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6992 and 1.\nAnswer: 6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273 + 551. Suppose 72 = 5*b - k. Suppose -m + 5*u = -b, -5*u + 3*u = -2*m + 172. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -566\/7. Which is the smallest value? (a) m (b) 2\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 187?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*k**2 - 20*k**2 + 103*k**2)*((0 + 0 - 2*k)*(4 + 0 - 2) - 4 + 4 - 2*k) - 7*k**3 - 7*k**3 + 4*k**3 to the form m + i*k + u*k**3 + j*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 99 - (3 - 3\/3). Suppose 0 = 5*l + 3 + b. Find the common denominator of ((-254)\/9)\/(l\/(-15)) and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 46. Let k be x(-22). Suppose -10 = 4*f + 2*p + k, 3*f - 2*p = -22. Is -9 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7582390, -7582383, -7582372, -7582357?\nAnswer: -7582338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)\/(-2 + 4). Let y(w) = -3*w + 4*w + w + v*w. Let q(n) = 19*n - 6. Let x(g) = 37*g - 11. Let o(p) = 11*q(p) - 6*x(p). What is y(o(k))?\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12 - -7) + 2)\/((-6)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3968 - -4097. Calculate the lowest common multiple of 344 and z.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/47750 and -29\/16855750?\nAnswer: 16855750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*o**2*z**2 + c*o**2 - c*o*z + 2*c*o - 43*o**2*z - 5*o*z**2 - 3*o*z wrt o.\nAnswer: 2*c*z**2 + 2*c - 86*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7383 divided by 321?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 0*z**4 - 3*z**4 + (-2*z**2 + 6*z**2 - 2*z**2)*(-z**2 + z**2 + z**2) + (-2*z**4 + 0*z**4 + 5*z**4)*(1 + 0 + 0).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 956, 2\/7 in descending order.\nAnswer: 956, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 12 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2582100 by -151.\nAnswer: -17100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 347769\/13638*((-4)\/((-6)\/(-3)))\/6?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from hyyyhyuuhvyeyyyyyg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*u + 6341 = 0, -3*u = 2*q - 5226 + 2083. Does 105 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*s**2 - 2342*s + 2342*s)*(-2*s + s**3 + 2*s).\nAnswer: 72*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:47 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-2 - (-4)\/3) - -148. Let r = 0 + 4. Is q + 2*r\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 9:18 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2059 - 3348 + 2543)*(-28*o**4 + 12*o**4 + 11*o**4).\nAnswer: -6270*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2088 and 5.\nAnswer: 2093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*i + 11, 2*i + 344 - 343 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 90 = -s, 0 = -5*s + 3*l + 450. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f. Let i(r) = 7*r**2 + 6*r. Let k(o) = i(o) + 6*n(o). Suppose 5*j = 2*y - 17 + 135, 2*j - 5*y = 64. Let h(z) = -22 + j - 5*z. Give h(k(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d**3 + 5*d**2 + d + 23. Let x(m) = -5*m**3 + 4*m**2 - m + 20. Calculate -3*g(s) + 4*x(s).\nAnswer: -2*s**3 + s**2 - 7*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 5*z + 0*z)*(-2*z + 3*z + z) - 7*z**2 + 2*z**2 + 3*z**2 + (1 - 1 + 2*z)*(-z + 0 + 0) to the form y + a*z**2 + u*z and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/153, -5, 0.17 in descending order.\nAnswer: 0.17, 2\/153, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**5\/60 + 253*i**2 + 1. Let p(y) = 177*y. Determine p(q(w)).\nAnswer: -177*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 720 (b) -2\/23 (c) 0.9 (d) -2\/3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23761128 to the power of 1\/2, to the nearest integer?\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {v: 5, m: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5117487 is divided by 465226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -22*r**6\/3 - 27*r**5\/5 + 1145*r**2\/2 + 1073. What is the second derivative of o(b) wrt b?\nAnswer: -880*b**3 - 324*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:03 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -60*o**2 - 423*o - 21. Let x be u(-7). Solve x = 3*c - p - 5, 3*c - p - 5 = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0 - 1\/4*c**4 + 0*c**2 + 44*c + 1\/2*c**3. Factor l(r).\nAnswer: -3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41a + -169?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8241637.\nAnswer: 149, 55313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 25*l + 4. Let i be b(2). Suppose 7*j - 6*j = i. Let n be 4\/(-3)*j\/(-12). Solve -4*d = 2*y + 18, d + n = 3*d - 4*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.97 + 0.03. Let v = x + -0.6. Let g = -4.6 - v. Which is the nearest to 2\/7? (a) 0.3 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + s**2 + s - 120. Let i be p(0). What is the tens digit of (-3)\/1 + (9 - i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 677820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*k - 2 - 6, 4*k - 2 = u. Suppose 0 = -3*p - 1 + 4, 4*d - 5*p + 2189 = k. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w + 87*w + 16 = 0. Let p(n) = 3 + 0 + 0*n + 4*n. Determine p(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.023\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (5 + -6) - 6 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/(m*m**(2\/9)))\/(m*m*m**(2\/7)*m)**(-7\/10))**(-10\/9) assuming m is positive.\nAnswer: m**(-7\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -0.1 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 47, -24 in ascending order.\nAnswer: -24, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Let l(m) = m - 20 - 5*m + y*m. Let t(u) = -240551*u + 240551*u - 2*u**2. Give l(t(j)).\nAnswer: 4*j**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*t**4 - 10*t**3 - 127*t**2 + t.\nAnswer: 360*t - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*q + 5736 + 29543 + 8406 = -32365 for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 5)*(-2 + 1 - 1)*(m + m - m) as b + z*m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -838347686 and 7.\nAnswer: -838347679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(324)\/(sqrt(9) + 3*sqrt(9)))\/(sqrt(1200)*4).\nAnswer: 3*sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/6)\/3)\/(21\/(-4)*296\/(-23828)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*b + 5, 5*i + 685*b = 682*b - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -139, 0.2, -2\/15, 3\/8, -2\/21, 5, -0.058?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 + 6. Let n be 6\/(-5)*35\/((-35)\/(-5)). Let w(f) = 3*f**2 - 5. Let p = -119 - -194. Let i be 30\/p - (-54)\/(-10). Give i*y(g) + n*w(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -97*f + 673. Calculate b(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 + 1 - 2*p**3 + 0 + p**3 + p**2 to y*p**3 + o*p + a + x*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 1\/20*z**5 + 0*z**3 + z**2 + 0*z - 1\/8*z**4 + 0. What is the second derivative of u(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40438 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14846313\/5 or 2969264?\nAnswer: 2969264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 3458.\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s + 42. Determine q(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.082 - -0.018. Let m = -478.98 - -479. What is the smallest value in 0.4, -4\/5, m, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6359535 and 2520?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-3)\/15)\/((-8)\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -974, -2200, -3916, -6122?\nAnswer: -8818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.32 (b) 5 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11496565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 64.36. Let i = 2.36 - o. Let q = -4 + 7. What is the smallest value in i, q, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y. Let i(x) be the second derivative of -x**6\/360 - x**4\/2 - 9*x. Let g(o) be the third derivative of i(o). Calculate u(g(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n - 22. Let g be j(6). Suppose 0 = 3*c + 5*l - 192, -2*l - 57 - 55 = -g*c. Let t = c + -57. Solve s = -t*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -47, 4, 0.1, 59\/2?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296 by 429295.\nAnswer: 296\/429295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 4*u. Let v(w) = -w + 13. Let m be v(9). Let n be q(m). Let s(k) = k**2 + 12. Let d be s(n). Solve 0*p - d = -4*p, -b = -p + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:36 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*i**3 + 23*i**2 + 3.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -7 + -14 - (7 - 32)) + 8\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 46*q - 132. Is 17 a factor of t(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*a - 3*t = -486*a - 38, -3*a - t = -0*t - 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -g, -2*j = 5*g - 0*j - 18. Solve 2*l = -5*c - g, -3*c + 4*l = -2*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c**(2\/11)*c)\/c*c)\/c)**29*c\/c**(3\/2)*c**3*c)**(-37))**(4\/19) assuming c is positive.\nAnswer: c**(-14282\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -15*n**2 + 9*n + 7*n**2 + 6*n**2 + 5*n**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-58 - -43) + 2*3\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 869 + -1269. Let y be ((-1275)\/2)\/(5\/b). Suppose -4*c = -3*c + y. What is c rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 7*z - 6. Let f be l(-6). Suppose 5*m + f*m - 40 = 0. Suppose 4*r + 20 = m*r. Solve 1 - r = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 7*y**2 + 4*y - 55. Let j be k(6). Suppose -3*d + 8*d = 350. Calculate the common denominator of (d\/j - 1)\/(-6) and 85\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136.7 + 126. What is the fourth biggest value in 0.1, -5\/6, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 - 7*n + 1. Give b(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8079223 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60668*r*x**3 + 15*r*x - 620*r + 10*x**3 - x**2 - 1397*x wrt x?\nAnswer: -364008*r*x + 60*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {n: 9, l: 4, i: 6}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 9 - (-6 + 664)\/14?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-8) - 6\/(-8). Let j be (8 + 4)*6\/9. Let t(a) = -a**2 + 9*a - 2. Let l be t(j). Sort l, 0.3, v.\nAnswer: v, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 2 + 1 - 6 + 4*h**2 - 11*h. Suppose 5*u = 5*z + 70, -3*u - 2*z + 36 = -3*z. Let q be k(u). Let t(v) = -v**3 - 4*v**2 - v + 4. Give t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from comno. What is prob of picking 1 m and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1210, -1075, -850, -535?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 528\nAnswer: -527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 2, k: 1, t: 3, s: 4}. What is prob of picking 1 u and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13321 (base 4) to base 9\nAnswer: -621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 + 8*s**3\/3 + 3*s**2 - 9*s - 52. What is b(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.97 - -6. Let i = 0.37 + s. Let d = -43828\/15 + 2922. Which is the smallest value? (a) -3 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k + 3. Let p be r(-6). Let w = 155 - p. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 672149164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/4708 and 73\/12?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54681061*j**3*m + 282*j**2 - j*m + 39052 wrt j?\nAnswer: 328086366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**2 - 9*j - 5. Let d(y) be the second derivative of -5*y**4\/6 + 13*y**3\/6 + 7*y**2\/2 + y - 11. Determine 5*d(f) + 7*l(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12805 + 19818. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 4 + 2 - 1 + 0.\nAnswer: 3*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = n - 19045, 3*j - 6*j = -3*n + 57198. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 152\/3) + 2\/(-6). Let z = -57 - i. Let s be (z\/2)\/(4\/(896\/(-12))). Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**4 + 1 + 60*y**2 + 0*y**4 - 34*y**2 - 27*y**2 - 10*y**3 in the form h*y**4 + v*y**3 + d*y**2 + f*y + g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117\/2303806 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 1 - 27 + 3*y + (-2*y - y + 5*y)*(1 - 3 - 1))*(0 + y + 0 + (5 + 0 - 2)*(-3*y + y + y)) + 0 - y**2 + 0 to c*y + u*y**2 + n and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/30 + 29034*p**2. Let g(s) be the third derivative of -29*s**4\/3 + s**2. Give a(g(f)).\nAnswer: -107648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 6:18 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34842567 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -34967, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 2*v, 0 = -6*m + 4*m - 4*v + 20. What is the second derivative of 310*u**4 - 144*u**m + u - 139*u**4 + 10 wrt u?\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37103 - 25331. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-seven halves of a millimeter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11495305, 22990614, 34485923, 45981232?\nAnswer: 57476541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - -0.35. Let x = k + 0.2. What is the third smallest value in 2, x, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - u + 1. Let v(y) be the second derivative of 5*y**4\/12 + y**3 - 21*y**2 - 58*y. Let t(w) = -6*r(w) - v(w). Determine t(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*o - 38 = 0, 2*p + p - 2*o = 46. Suppose 0 = 3*h - 9 - p. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211850.\nAnswer: 2, 3, 5, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/16, 0.06 in descending order.\nAnswer: 1\/16, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-152)\/20 - 2\/5. Let g be 14*-2*2\/k. What is the highest common divisor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = -85. Let q = 39 + x. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*2*6)\/(2*sqrt(49)\/(sqrt(28)\/sqrt(4))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:00 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d*y**3 + 11*d*y - 15*d - 2*y**3 - 25 wrt y?\nAnswer: 21*d*y**2 + 11*d - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 2. Let h(z) = -z - 3. Let y be h(-3). What is the nearest to 2 in -2, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130250 is divided by 1290?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 80. Let q be (d - 2)\/((-1 - 0)*5). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -121 (b) -2\/7 (c) 5 (d) 8.1 (e) 2 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -24*v - 29. Let n(g) = -8*g - 10. Let w(r) = -8*n(r) + 3*u(r). Let b be w(-5). Calculate the highest common divisor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009004633549 rounded to seven dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -458.25018 - -455.81. Let g = -2.43 - l. What is g rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*d - 583*d + 1248*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let f = 15 - m. Solve 0 = -3*y - 3*o - f, -y - 2*o - 12 = 3*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -14 - -4 - (-1448)\/(10 + -2) is divided by 116?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2144\/6*(-10)\/((-680)\/(-1071)). Let z = 2970 + -6799. Let j = z - p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 8:32 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.8. Let x be (3\/6)\/((-57)\/18 + 3). Let h = 85.9 - 86. What is the nearest to h in l, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x - 17. Give n(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 + y**2 + 0*y**2)*(2 - 2 - y) - 2 + 2 - 2*y**3 + (2*y - 4*y + y)*(2*y**2 - 134*y + 0*y**2 - 41*y) as l + w*y + z*y**2 + j*y**3 and give z.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d3 + a?\nAnswer: -8c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.005 - 0.189. Let z = -1.196 + m. Round z to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118500 bigger than -4.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*q - 82780, -9*q = 9*l - 6*q - 149022. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111121 + 10?\nAnswer: 111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, -11.5, 0.7?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-1*5*-4)**2 - -5*(sqrt(448) + -2)*6.\nAnswer: 240*sqrt(7) + 44740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in 6\/11, 0.1, 1\/4, 3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**2 - 32378*v - 33769.\nAnswer: -2*v - 32378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242 a factor of 5151756288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g - 12. Let f(d) = 1. Let b(a) = a + 6. Suppose 8*z - 12 = -4. Calculate g*f(x) + z*b(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(3 - 7\/2). Let o = 6905\/9 + -767. Let p = -50 - -58. Which is the nearest to p? (a) q (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/8*21\/945*36\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0*t + 3*t)*(-3 + 3 - 2) + (0 + 0 + 1)*(-t + 4*t + 3*t) as y*t + v and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 244.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4 = -c, 243*u - 24 = 242*u - 5*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-10)*5)\/(3\/(-6)). Let b = 2662 - 2665. Put -2, h, 4, b in decreasing order.\nAnswer: 4, -2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2421 by 9.\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -969, 1, 0.4, 8, -0.37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -193?\nAnswer: 88\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2460 and 1435?\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 - 114 + 46 - 162.\nAnswer: -39*r**2 - 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2 (b) -8 (c) -3.24 (d) -26 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2517, 9987, 22439, 39867, 62265?\n\"Answer: -g**3 + 2497*g**2 - 14*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:16 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 + 3*z. Let j(h) = -h**3 - 9*h**2 + 9*h - 13. Let y be j(-10). Give c(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 312532?\nAnswer: 2812788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237, 1\/2, 1.4, -3 in increasing order.\nAnswer: -237, -3, 1\/2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1453035 (base 6) to base 5.\nAnswer: -10204121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11494*a + 219370 + 585210 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/64 and -67\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 0.06. Let n = -17\/14 - 2\/7. Which is the closest to m? (a) n (b) 1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.07, 0, -12\/29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1087, -1887, -2539, -3049, -3423, -3667, -3787?\n\"Answer: -k**3 + 80*k**2 - 1033*k - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3\/7 (c) -31 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48916 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333 (base 4) to base 5.\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/(-22))\/(2\/24))\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f + 1. Let n(z) = z. Calculate 2*n(g) + u(g).\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 476\/(-70) + (-1 - -8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4*-0.062.\nAnswer: -0.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, -2, -7, -3, 3, -5 in decreasing order.\nAnswer: 49, 3, -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 129661 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**2 + 98660*u + 493200 = 0?\nAnswer: -24660, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 11) to base 4\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*j*p + 14*c**2 - 5*c*j + 8*c*p - 7*j - 894*p wrt c.\nAnswer: -2*c*j*p + 28*c - 5*j + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 160\/12)*3. Are 28 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 19*v**2 - 36*v - 96. Let z = -11 + 38. Calculate the least common multiple of z and k(21).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/(-90))\/((-3)\/(-4)). What is the nearest to h in -0.8, 4, 3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1 + -5 - sqrt(144)\/sqrt(8) - (((sqrt(180) - (sqrt(180) - 1*sqrt(180)))\/sqrt(9))\/sqrt(10))**2) + -2.\nAnswer: -9 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23 + -20)*37\/3.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22289 by 2.\nAnswer: 22289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105474441 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13144 + 18272. Does 103 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 2*c**2 + 10. Let p be h(0). Let l be 2\/10 - 22\/p. Let f be (-26)\/l - (3 - 4). What is the greatest common divisor of 126 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**3 + 113*f**2 - 16*f + 15. What is m(16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22188 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**10\/6048 - z**9\/2160 + z**8\/3360 + z**4\/4 + 4*z. Let c(f) be the third derivative of i(f). Factor c(r).\nAnswer: r**3*(r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 - 5*y - 9. Let m be r(7). Suppose j - m*j = -304. Suppose x = 3*x - j. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 9 - 93*h.\nAnswer: -93*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.087569 - -301149.912431. Let x = c - 301150.499972. Let y = 0.5 + x. Round y to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7243 smaller than -7240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 5*l - 18, -2*l + 4 = 4*f - 4*l. Suppose f*w = -0*w + 10. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1021, -1022, -1023?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42760805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12277 + 12280. Let p be 2 + 2 + 5\/(-2). What is the second smallest value in p, 0.24, -4, u?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14530 (base 8) to base 3\nAnswer: -22220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0 - 1 = -4*q, 3*x = 5*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -26. Factor -s**3 - 4*s**2 - 7*s**4 - 7*s**3 + c*s**4.\nAnswer: -4*s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 2*t**4 + 3*t**4)*(16*t + 16*t + 7*t - 9*t).\nAnswer: 30*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 3*h - 2. Let y be g(2). Let z = -115\/4 - -29. Is y greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31*d + 1. Let r(q) = -27*q - 3. Let l(g) = -8*k(g) - 9*r(g). Let a(h) = h - 4. Calculate -11*a(u) - 2*l(u).\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 + 2. Let s be w(-4). Let x(h) = -s*h - 2*h - h - 2*h. Let r(k) be the third derivative of k**4\/12 + 17*k**2. Calculate x(r(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1, 24, 4, -4\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 5*n**2 - 9*n - 10. Suppose 0 = 2*o + 9 + 1. Let y be c(o). Calculate the highest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -32, -3, 46, 121, 228, 373, 562?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 20*m**3 + 19*m**3 + m**2 - 38*m**3 - 2 - 3*m**2. Give b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 331013032223?\nAnswer: -331013032231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*y + 9, 3*i - y = 6 - 0. Determine a so that -3*a**3 + 8*a**2 + a**i - 12*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-10)\/20). Let y = -3 - 2. Let c = y - f. Which is greater: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(14\/5))**(-3\/5)\/(a**(-13))**(4\/3) assuming a is positive.\nAnswer: a**(1174\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**16*u*u*u**7*u assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59076449 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 7*o + 6. Suppose -r - 113 + 107 = 0. Let x(z) be the third derivative of -z**4\/24 + z**3\/6 - 2*z**2. Determine r*x(s) + i(s).\nAnswer: 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, 110, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 0, 23, 5 in ascending order.\nAnswer: -6, -3, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -246870\/1577?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 + 10\/(-2)*(2 - 1) is divided by 146.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -13. Suppose -4*l + 3 = -3*s, 0*l - 4*l - s = 17. Let d = l + j. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11001?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**3 - 19*q**2 + 4*q + 8. Let x be y(7). Solve -3*j + f = -0 + x, 0 = -5*j - 5*f - 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286 = 4*x + 9*x. Suppose -6*j + j - 30 = 0. Let k = j - x. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4 - 572*j**3 + 11036*j**2 + 572*j - 11040 = 0.\nAnswer: -1, 1, 23, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 20*p**2 + 21*p + 2. Let o be f(-21). Suppose -3*s + o = -s. Suppose -5*r = -r, m = 4*r + s. Sort 3, -5, m in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28235.959541 - -28236. Round c to three dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813015599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:41 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k**3 - 5*k**4 + 43*k**3 - 24*k**3 + 7*k to the form s*k + b*k**4 + p*k**2 + i*k**3 + m and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3\/2, -5, 2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (11 - (19 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2635 + 21107\/8. What is the common denominator of -1 + 2\/20*17 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 - 23 - 1 - 26 - 23 + 16*y wrt y?\nAnswer: -6*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -51623*i + 51625*i - 8, -5*s = i - 3 - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*i + 2040 = 0, -3*k + 408 = -2*k - 4*i. Let j = k - 276. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 4013 + -1460. Does 37 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -34. Let u(f) = -f**3 - 18*f**2 - 2*f - 4. What is the remainder when u(j) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4\/3 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * 0.04181.\nAnswer: -1.08706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1)**16*q**(-2)*q**(2\/9)\/q*(q**(-2)\/q)\/q*(q*q*((q**(2\/7)*q)\/q)\/q)\/q*(q\/q**(-3)*q)\/(q**(-1\/3)\/q) assuming q is positive.\nAnswer: q**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3446.00007073 - 3446. Round x to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426128939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1376593*f**4 - 12*f**2 + 12255*f + 3 wrt f?\nAnswer: -33038232*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3071*c**3 + 314*c**2 wrt c.\nAnswer: -18426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.54? (a) 0 (b) 1\/2 (c) -1\/4 (d) 0.322 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 33, -1\/2, 26, -5, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -288. Let o = h + -16. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19467704 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 579499.6 minutes in microseconds?\nAnswer: 34769976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 132 = 48*a - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdkjjjrrhjh. What is prob of sequence kh?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.44 (b) 0.3 (c) -315995\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.7 (b) 9\/2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -188305.6.\nAnswer: -188305.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 78?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 880214332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 1, p: 4, q: 9, z: 1, u: 2}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*u = 2517, -2*u - 3*u = -5*o + 12630. Let g = 11323 - o. Round g to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11\/20, -0.2, 0.1, -2\/19, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 - 138*q**2 - 2492*q\/9.\nAnswer: 2*q*(q - 623)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 1\/4 (c) -30 (d) 2\/3 (e) 1\/53 (f) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/8)\/(d\/d**(-20)) assuming d is positive.\nAnswer: d**(-167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3 + 3 - 7*w - 11*w. Let i be f(-1). Solve i = -3*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (1 + (2 - 2)). Let g(f) = f**3 + f**2 - f - 1. Let x be g(o). Is x less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*a, -20 = 5*j + 3*a - 4*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*a - 48 = 246*a. Is (10420\/a)\/5*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 18, -120 in ascending order.\nAnswer: -120, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 24. Let j be (4\/m*12)\/(1 - -1). Suppose -10 = -c - 4*c. Put c, j, -4 in ascending order.\nAnswer: -4, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9450025 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 26 = 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, q: 2, y: 3}. What is prob of picking 1 o and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*b - 135*b + 96*b**2.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-47)\/(-24)*-2 and 4*(-1278)\/1080 + -3*(-6)\/(-54).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {b: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b - 26*b + 13*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 3. Let k be f(7). Suppose -69 = 3*r + k*v + 157, 2*v + 400 = -5*r. Let p = -96 + r. What is p rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**3 - 3*x**2 - 40*x. Let n(g) = -g**3 - g**2 - g. Calculate 3*n(y) - o(y).\nAnswer: 6*y**3 + 37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 6*k - 52. Does 32 divide f(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-13)\/(-104))\/((-18)\/168).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-62)\/8)\/((-7)\/56). Let x = g - 41. Let q be 12\/(-56)*x\/(-6). Which is the biggest value? (a) q (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1946 = 1050*v - 1051*v, 5*v - 2*x = 9733. What are the prime factors of v?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/98252 and 109\/3248?\nAnswer: 393008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/(-170) + (-1)\/((-30)\/723). Let n be (-16)\/(-7) + v\/(-84). Solve n*w + f - 3*f - 4 = 0, -4*w + f - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-1*1\/(-9)). Suppose -4*w - 52 = -4*k, 3*k - 3 = -w - 0. Calculate the common denominator of j\/32*12\/w and 45\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 456, 455?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5)\/g)**(5\/2))**(-17) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o - 24. Is u(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02089 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 190.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-4 - 1) - (-37)\/7. Which is the nearest to p? (a) 0.5 (b) -5 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1749*j*t - 326295*j - 182*t wrt t?\nAnswer: -1749*j - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326349, 326348, 326347, 326346?\nAnswer: 326345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -2*s**4\/3 - 53*s**3\/2 + 888*s**2 + 3. Determine g(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/24 - f**3\/6 + 217*f**2 - 15*f. Suppose 0 = -5*y + 18 + 17. What is k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 19 - 13 = -b, -4*b + 4*l - 8 = 0. Suppose -4*c + 42169 = 4*t - 5*c, -c - 5 = b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 678427 from -5.\nAnswer: -678432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 6*f. Suppose 4*k - 80 = -0*k - 4*b, 40 = f*k + 4*b. Solve r + k = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 61219140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -12, -84*f + 12436 = z - 79*f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 17. Let p be t(-14). Suppose 3*a = -5*n + 32 + 557, -3*a + 351 = p*n. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j + 8 = 0. Suppose -3*n + 6*n + 4*h = 13, 5*h - 8 = -n. Solve z + j = 0, -a = n*z + 2*z + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.61447 and -1.\nAnswer: -0.38553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13936239253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -5*a - 150, 3*h - a = 86. Suppose 412*u + h = 419*u. Solve -u*c + 5*c = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 27095?\nAnswer: 216760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-2)*4\/(-2). Suppose 0 = 5*g - 4*m - 423, -q*g - 248 = 5*m - 653. Suppose -z + 39 = -5*a, 6*z - z = -3*a + g. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Let x be (-2)\/(0 + (-2)\/q). Find the third derivative of -h**x + h**2 - 3*h**2 + 5*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 71*m**2 + 2*m + 314. Let x be o(71). Solve 2*l + 460 = x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2 + 2 - 2*n) - 3*n - 3*n + 0*n + 2*n + 6*n + 4*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 26*z. Let i be l(-9). Let o be (-9)\/(-15) - i\/10. What is the smallest common multiple of ((-8)\/o)\/((-2)\/6) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -122*p - 14. Suppose 3*n + 0 + 29 = -2*d, 37 = -3*n + 2*d. Let c be o(n). What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 15085 = -12853. Solve j = 10*a + 52*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 0 - -6) + -2. What is the nearest to f in 1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 3. Let l(g) = 6*g - 2. Let q(u) = -4*i(u) + 5*l(u). Let b(w) = -4*w - 3. Let k be b(-2). Calculate q(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-166042.\nAnswer: 16604.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 13) to base 15.\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t + 9*t**3 - 17*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 815 - 724. Let f be (w\/(-78))\/((-4)\/(-24)). Let c = -22 + 12. Is c greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -25. Let m = k - -13.999961. Round m to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + -2 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 a when four letters picked without replacement from {g: 5, a: 6, b: 2, z: 2, f: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125424004420 - 5?\nAnswer: 125424004411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 16) to base 2\nAnswer: 111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1913 or -700?\nAnswer: -1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -1.8 (c) -1016 (d) -13\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25945, 26053, 26225, 26455, 26737, 27065, 27433?\nAnswer: 27835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 14 + 2 = 0. Suppose -l*d + 14 = -66. Suppose 0*h + 4*h = 12. Solve 0 = -h*j - 0*j - p + 1, 5*j - d = 2*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:12 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5702*x**2 - 1799576*x + 1799576*x as m + b*x + c*x**2 and give c.\nAnswer: 5702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -78. Let f = -52.67 - k. What is f rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.16 - -0.44. Let h = -0.38 + w. Which is the third smallest value? (a) -0.3 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -342\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -744*a**2 - 737*a**2 - 62*a + 1482*a**2 + (-1 + 1 - 2*a**2)*(-2 + 3 - 3).\nAnswer: 5*a**2 - 62*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 319\/(-99) + 2\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 8451.9\nAnswer: -50711.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1695 - -11861\/7. Is 671 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153))**2 + 4 - (sqrt(153) - (-3*(1 + sqrt(153)))**2))*3*1.\nAnswer: 153*sqrt(17) + 4629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056 is divided by 526.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 + f + 1. Let h(z) = z**2 + 1. Let k(w) = 4*h(w) + x(w). Determine k(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -0.98. Let u = 1 + k. Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -214, -190, -144, -70, 38, 186?\n\"Answer: p**3 + 5*p**2 + 2*p - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 2*c = -56, 5*c = -408 + 318 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -736550000 rounded to the nearest one million?\nAnswer: -737000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -81 times -16185\nAnswer: 1310985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-6 + 12) - 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 23. What is the least common multiple of o(4) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*c - 84 = c, 0 = -4*r - 4*c + 108. Find the second derivative of 0*k**2 + 48*k**5 - 17*k + 0*k**2 - r*k**5 wrt k.\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*h**2)*(5 - 5 + 2*h)*(1 - 1 + h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 9*r**4 + 4*r**3 + 19 + 125407*r - 125407*r)*(r + r - r).\nAnswer: -9*r**5 + 4*r**4 + r**3 + 19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4320 + 1430?\nAnswer: -2340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -43156*x - 431532. Calculate l(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 17 + (13 - (3 + -84))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*w = 43, 167*a - 16 = 170*a + 8*w for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 76477 (base 8) to base 5\nAnswer: 2011223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15599.68l in millilitres?\nAnswer: 15599680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3202044 + -4222?\nAnswer: 3142322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/252)\/((-2)\/42))\/((-6)\/16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + h, 3*b - 5*b = 2*h - 8. Let s be -5*1*-1*b. Suppose 6*o + m - 14 = 3*o, 0 = 5*m - 25. Sort s, o, 2 in decreasing order.\nAnswer: s, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by -3\nAnswer: 169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3482264 is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - -2.1. Let p = s + -1. Let y = -0.07 - 4.93. Which is the third biggest value? (a) -1\/10 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38243.\nAnswer: 167, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 2 = 12*j. Solve -3*q + 1 = -j*x - 6, -5*x = -4*q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (4 - 10)\/12*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1173, 1275, 1379, 1485, 1593, 1703?\n\"Answer: o**2 + 99*o + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0997967 - -1327.\nAnswer: 1327.0997967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2738b (base 13) to base 4.\nAnswer: -101312203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4116 by 14.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 0.5, 71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -2.65, -160, -4, 3, 2?\nAnswer: -2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 33. Let l be w(15). What is the highest common divisor of l and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:09 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + 7839\/402*(-10)\/12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*q = 3 - 9, -3*q = 2*p - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 4. Let s = -6 + 11. Let k = s - -2. Calculate the remainder when 72 is divided by g(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - c)*(1408 - 174*c - 1408 - 5*c + 4*c + 3*c + (2*c + 2*c - 2*c)*(3 - 1 + 0) - 5*c + 3*c + 3*c - 1 + 1 + 3*c).\nAnswer: -164*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 22 = -2*k, 5 = 2*l + 4*k - 7. Calculate the highest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 8*m + 45 - 2\/3*m**3 - 4\/5*m**2 + 1\/10*m**4. Solve q(k) = 0 for k.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -70*g - 83*g + 148*g - 23. Is h(-13) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1905086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (40 + -96) - (18 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 35 - 62. Let b = 76 + j. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 45*a - 46*a + 97, -3*w + 285 = 3*a. What is the greatest common divisor of 1888 and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(7\/8)\/(27 + (-13008)\/480)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 37813804*p**2 - 178735471618802*p.\nAnswer: -2*p*(p + 9453451)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/8 or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76308 <= 76310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*a = -730*a + 7475 - 2822 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*n - 145. Suppose 3*i - d = 5*i - 59, -i + n = -d. Sort 4, i, 1, -4 in decreasing order.\nAnswer: i, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v - 2. Let h be d(-5). Let j be (((-256)\/12)\/(-8))\/(2\/(-3)). Sort -1, j, h in decreasing order.\nAnswer: h, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.20849 and -0.1.\nAnswer: 0.020849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047128 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6752*c - 40483. What is o(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152 + -54003444?\nAnswer: -54004040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i. Let d be k(-3). Let w be -1 + d + -2 + 3. Let z be (4\/(-8))\/(1\/16*2). Put z, w, 4 in descending order.\nAnswer: w, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 4.58\nAnswer: 1.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-21) - 143\/((-76076)\/4712)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -28457 (c) 612\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11059 + 110?\nAnswer: -10a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 523. Let h(r) = -264*r**2 + 520*r**2 - 259*r**2. Give a(h(q)).\nAnswer: -6*q**2 + 523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2 + 6*d = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.408 + -14.\nAnswer: -13.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1054\/53, 0.9, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*c - 28 = 0, 9*c + 19 = -b + 13*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14646679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46 times 471\nAnswer: 21666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 12 + 18. Calculate the common denominator of -3 + (f - 12\/(-54)) and 26\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*5\/25*40\/1. Suppose -25*h = -20*h - o. Calculate the remainder when 71 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3136 and 32046.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 53\/4 of a tonne?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 73504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 1. Let f be u(-1). Let k(p) = -3*p - 3*p + f*p + 1 + 7*p. Determine k(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {c: 3, z: 3, d: 5, n: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1917\/1704*24\/198)\/(9\/4)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -30030, -60077, -90124, -120171, -150218, -180265?\n\"Answer: -30047*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*x**3 + 68*x**3 - 75*x**3 + 73*x**3 + 49*x**3.\nAnswer: 182*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -t. Let b(w) = 3*w + 6. List the prime factors of b(t).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -559048038*n**3 - 577209855*n wrt n.\nAnswer: -3354288228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1102 - 4?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 343 = u, 10*u = -2*o + 14*u + 154. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -14.3. Let x = 3 - z. Round x to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42*26\/(-303) + 4. Let m = i + -2456\/2121. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 2*y - y + (16 - 12 - 23)*(-19*y + 74*y + 39*y).\nAnswer: -1784*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i + 65. Give j(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 66272 = -4*w. Calculate the greatest common divisor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24816 and 48.\nAnswer: 24816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.565 * 0.03.\nAnswer: 0.01695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - -20 - (24 - (9 - 3)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-9)\/(-2))*(-5 - 7). Suppose -48 = -14*w + j. Solve 7*k + 15 = w*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 22903 = -2315. Round i to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + h = -3*h - 288, 0 = 4*l - 2*h + 288. Let b = l - -138. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(((-328)\/(-3608))\/(28\/(-22))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 21*s - 170. Let a be h(8). Let c be 25\/(3 - a) - (2 - 0). Solve 2*t = -3*n + 5, 2*t = -c*t + n - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18078 - -54.\nAnswer: -18024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35878680, -35878668, -35878656, -35878644, -35878632?\nAnswer: -35878620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 5. Let w be c(5). Suppose -4*x + 3 + 9 = w. Factor -8\/3 + 28*z + 343\/3*z**x - 98*z**2.\nAnswer: (7*z - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1187 + 31011?\nAnswer: 28713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + -4.99. What is the biggest value in -3, u, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922071 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: Evaluate 998355\/32395 + 2*1\/11.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40190 is divided by 558.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by (-4 - 0)\/8*-50?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1918+49\nAnswer: 48.8082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170 + -367. Let m = y + 196. Which is bigger: m or -2\/219?\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2404.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*s + 296*s = 406*s + 3168 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let v be (-1 - -11) + z\/(-1). Let i be (53 - 54)\/(1\/((-4)\/2)). Solve 0 = -i*x - b - 7, 3*x + v = -x - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 + 4*n**2 - n + 2. Let w(t) = t**2. Calculate -s(l) + 6*w(l).\nAnswer: -3*l**3 + 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knoavii. What is prob of picking 1 a and 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*h = -30 + 34, -2*h + 24 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose -y*n = 4 - 25. What are the prime factors of (2\/1)\/(2\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 21183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.45 + -10.95. What is the second biggest value in z, 0.3, -5\/6, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:45 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -833400 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 622*s**2 - 612*s + 3432. Determine x(-312).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 40, 33, 24, 13, 0, -15?\n\"Answer: -t**2 - 2*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(5*sqrt(12)))\/(sqrt(10) + (sqrt(490) - -2*sqrt(490)) + (sqrt(120)\/sqrt(2))\/sqrt(6)).\nAnswer: sqrt(5)\/230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -4*p, y - 4*p + 2*p = 0. Suppose -2*c + y = q, -3*c = -0*c + q - 5. What is the highest common factor of c and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5. Suppose 0*w = 4*w - 36. Let l = 11 - w. Let i be (3 - (2 - -1))\/l. Determine x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 12:43 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/270 + 7*m**4\/9 + 85*m**3\/27 - 563*m**2. Factor l(x).\nAnswer: -2*(x - 85)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -17*j**5\/20 - 15*j**3\/2 + 111*j**2. Differentiate m(t) with respect to t.\nAnswer: -102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3965 - -47497\/12. Suppose 2*z = 3*x + 190, 172 - 2 = -3*x - 2*z. What is the common denominator of r and ((-9)\/x)\/((-6)\/(-202))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 4:56 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 25*p**5\/2 + 55*p**4\/2 - 81*p**3\/2 - 43*p**2\/2 + 28*p - 6 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 1469 = 401. Let o = 13 - v. List the prime factors of o.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 + 883 = 373*h - 866 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 91953399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 96, 143?\n\"Answer: 47*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.177 and 0.0287.\nAnswer: 0.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(45) + 5).\nAnswer: -6*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 745*l**2*q + 7516*l**2 - 3274*l*q**4 - 96*l wrt q.\nAnswer: 745*l**2 - 13096*l*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 48369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, -4.45, 7 in increasing order.\nAnswer: -4.45, 14\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 6, p: 1, o: 2, u: 5}. What is prob of sequence up?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 1. Let q(f) = -f**3. Let w(j) = 5*j**3 + 5*j**2 + 5*j + 8. Let l(o) = 6*q(o) + w(o). Let t be l(6). Suppose -7*v - 5 = -t*v. What is d(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u + 5. Let r = -83 - -117. Let f be (-1 - 2)\/(6\/(-4)). Suppose -3*w - 5*b = 7, f*w = 5*b + 3 + r. Give l(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-45)*(-4)\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -46*m + 327 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -0. Suppose -2*s = -5*b - 19, -w*s - 10 - 14 = 3*b. Let z = 10 + -6. Sort 2\/3, b, z in descending order.\nAnswer: z, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20d - -9a?\nAnswer: 2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*d - 932704 = -932712, 4*z + 3*d - 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 41 - ((-42)\/(-7) - 13). Suppose 0 = 3*m - 126 - 594. Calculate the highest common factor of c and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from hhhwhhhwww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7964*g - 247608 + 260860 - 698156 for g.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((-4)\/1) + -53. Let y = q + 58. Suppose -3*m = 3*o - 0*m - 387, 0 = -4*m + y. Calculate the smallest common multiple of 4 and o.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/14 - ((-30)\/(-3))\/10. Which is the nearest to 27? (a) j (b) -3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.56082 less than or equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30 + (-1)\/8*-40. What is the highest common divisor of h and 4795?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1711 is divided by 398?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-3 - 0)) + 4 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-154))\/((15\/20)\/(-3)*100\/25).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 + 0*w**2 + 26*w**2 to the form q + o*w**2 + n*w and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/125 and 11\/12100*-4612 + 8\/2.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -k. Let v be 6\/3 + -2 + 2. Calculate the highest common divisor of v and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = 2*j - 6, -j + 3 = z. Suppose 4*a = -2*h + 10, z*a + 2*h = 1 + 7. Is a*((-5 - -3) + 9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)\/(m\/((m*m*m*m**(-3\/4)*m)\/m)))\/((m\/(m\/m**(2\/3)))\/m*m*m**(2\/3)*m) assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/12 + 3*p**3\/2 - 2*p**2 - 17*p + 14. Let l(w) be the first derivative of g(w). Calculate l(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08233 + -536.78233. What is r rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -235415, -235496, -235587, -235694, -235823, -235980?\n\"Answer: -r**3 + r**2 - 77*r - 235338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27781648?\nAnswer: 2, 19, 91387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 4*p - 9*p + p - 10*p)*(15 - 3 + 34) as w + l*p and give l.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(343))**2 - sqrt(70)\/(sqrt(30)\/sqrt(3)).\nAnswer: -sqrt(7) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 11*u**2 + 6. Let y be p(11). Let j be 2*-10*2\/(-8). Suppose -y = -j*f + 4. Calculate the smallest common multiple of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26142*c**4 - 26143*c**4 - c**3 - c**2 + 1 - 21*c + 0*c as d*c**3 + w*c**2 + x + r*c**4 + f*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 (base 7) in base 13?\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -78. What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 12*g - 2. Let p be z(-6). Let m be (p - 30\/(-16))\/(3\/6). What is the fourth biggest value in -1, 7\/2, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52980149 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -36. Let r(p) = p**3 + 4*p**2 - 5. Calculate the least common multiple of r(m) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/396 - 465\/(-8370).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2467405 - -55?\nAnswer: -2467330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 156*n - 4. Give b(-28).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8291 - 5817. Let a = 3771 - f. What is a rounded to the nearest 10?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1808 * -3\nAnswer: 0.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -18*f - 17. Let p(o) = 4*o + 3. Let b(i) = -11*i - 9. Determine f*p(s) + 6*b(s).\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128420878277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrttrpprrttrr. What is prob of picking 1 p and 1 t?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*y**3 - 1033*y**2 - 39056*y + 1031108212?\nAnswer: 12*y**2 - 2066*y - 39056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/3)*l)**(12\/11)*l**2*l\/(l*l**4))**27)**(-41) assuming l is positive.\nAnswer: l**(2214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -148*o**2 + 4*o - 1. Let r be i(1). Let y = -130 - r. Suppose -586 = y*k - 3016. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 0.07415?\nAnswer: 3.07415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 - 12*n + 10. Let u be p(8). Let a be 2\/4 + (-9)\/u. Factor 0*l - a*l**3 + 4\/7*l**2 + 0.\nAnswer: -2*l**2*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/(((-27)\/2)\/9)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 75*i**3 - 13*i + 105*i**3.\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4755 - 9506 - 4*q**2 + 4753 - q**2 - 3*q.\nAnswer: -5*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 788 = 88. Let j = 292 + q. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/27*24\/(-8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + a + 20 = 0, 58*k - 3*a - 12 = 60*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1481 divided by 3.\nAnswer: 1481\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.11257314 - -82?\nAnswer: 194.11257314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 80*w**2 + w + 1. Let u = -53 + 51. Calculate the remainder when k(u) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8 (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/13, 0.3, 39\/23?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295662 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-3)\/(-6) + 2. Suppose 4*s + 5 = -p, 0 = 4*z - 5*s - 22. Solve -3*g - 13 = z*i - 2*g, i = 5*g + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -29. Let v = f + -10. Which is greater: v or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26758 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - -0.6. Let y = d - 1.2. Which is the third biggest value? (a) 0 (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4708 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -20. Suppose 12*j - 7*j - s = 0. Solve 0 = -j*y - 0 + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81837 divided by 9093\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/6)\/m)\/m*m**3)\/(m**2*m\/(m*m**5)) assuming m is positive.\nAnswer: m**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 410116.1us?\nAnswer: 410.1161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.02, -119, 2?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o = 235 + 277 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + i**5 - 8*i**5 + (2*i + 2*i - 2*i)*(-4*i + 4*i - 2*i**4) - 7 + 7 + i**5 - 4*i**5 + 3*i**3 - 3*i**3.\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/14)\/46*(29\/145)\/((-3)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.51 times 0.1?\nAnswer: 0.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3. Suppose 4*p + 18 = -3*q, p + 0*p + 5*q = 4. Let w be ((-2)\/(-4))\/(p\/12*1). Determine y(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 10*f**2 + 8*f + 10. Let t = -99 - -99. Suppose t = 4*w - 2*w - 4*m - 26, 49 = 5*w - 2*m. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 5*p - 4*h, -1847 = -p + 5*h - 1863 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10022400.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 4*a**3 - 5*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-433)\/(3 - (-11 + 13)). Which is greater: s or -436?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 1:34 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 66 = -2*t, -7*t - 57 = 440*h - 439*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 - 2*a**3 - 22956*a**2 + 287088*a wrt a?\nAnswer: -20*a**3 - 12*a - 45912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*n + 12. Let y be 0 + 0 + (-6)\/n. Let r be (-1)\/(-21)*3\/1. What is the nearest to -0.1 in y, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 510 - 510. Let p(a) be the third derivative of 0*a**5 + c*a**3 + 0 + 1\/15*a**6 + 0*a**4 + 3*a**2 - 2\/105*a**7 + 0*a. Find s, given that p(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6. Let r(b) = b**2 + 367. Let x be r(c). Suppose 0 = -y - 2*f + 63, -y + 6*y - x = 3*f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -818.71 and 0.4.\nAnswer: -327.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -502545.7 to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(8\/(-6))\/(-2). Suppose -3*i + 14 = 23, -2*b - 7 = -i. Is p + 1 + 36 + b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = 4. Let j = -1.5 - -1.1. Let w be (-1 + 2)*(-3)\/18. Which is the second smallest value? (a) w (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3\/4 + 23301*p**2\/2 + 1588041*p\/4 - 408660 = 0.\nAnswer: -35, 1, 15568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 417, 408, 395, 378, 357?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, -3, -1 in increasing order.\nAnswer: -10, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11194*z - 58622 + 335054 + 227298 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(28)*4.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1497346 - -2115303. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3\/3 - 3*d**2 - 2. Let j be x(-6). Let t = 15 - 102\/7. Is t > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-6) + 3330402\/306 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 1)*4\/5. Which is the second biggest value? (a) o (b) -3\/4 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5 - 0. Let v(p) = p**3 + p**2 + p - 1. Let t(a) = 7*a**3 + a**2 + 3*a - 1. Let o(q) = -t(q) + 6*v(q). List the prime factors of o(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 173?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*54\/(-24). List the prime factors of (118\/c)\/(3\/9).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:03 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1*(-2 + 1). Suppose i = 3*g + 2*g - 30. What is the third derivative of -f**6 - 3 + 3 - g*f**2 - 2*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 218. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -591\/320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480 + 2879\/6. Let o = 345 - 342. What is the biggest value in o, a, 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i + i - i**5 + i + 0*i**5 wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z. Suppose -3*m + 5*y + 20 = 0, 3*m = -4*y + 16 - 5. Let t(l) = l**2 + l**2 - l**2 - m*l**2. What is t(x(q))?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (35\/(-10) - -3)*(0 - 36). What is the greatest common divisor of w and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -328c + -8?\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -39613771.8 to the nearest one hundred thousand.\nAnswer: -39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 616, 1204, 1800, 2422, 3088, 3816, 4624, 5530?\n\"Answer: 3*p**3 - 14*p**2 + 609*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 36*z**2 - 2*z + 1 + 3 - 2. Let t be q(1). Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466127.\nAnswer: 19, 24533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, i: 4, s: 3, p: 6, o: 3}. Give prob of sequence noii.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000136188 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 9 = -4. Let t be (-259)\/539 + (9\/(-21) - j). What is the nearest to -1 in -4\/7, t, -4\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.19 - -0.18. Let n = t + 1.31. Sort n, -2, 3\/8.\nAnswer: -2, n, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 4. Let x(h) = -2*h + 13. Let t(n) = n - 4. Let g(l) = 3*t(l) + x(l). What is 12*g(k) - 3*o(k)?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 10:13 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 - v - 3. Let c be 4 - 2\/(-4)*0. Let u be a(c). Let b = 149 + -140. Calculate the greatest common factor of b and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -178 - -177 - (-2 + 0 + 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -243913 and 0.11139?\nAnswer: 243913.11139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 2599\nAnswer: 2339.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323 + 2001230320?\nAnswer: 2001232303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -863 + 895. Let x(p) = 25 + p**2 - 83 + p + y + 27. Let g(w) = -4*w**2 - 6*w - 11. Calculate -g(l) - 6*x(l).\nAnswer: -2*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17*8\/(-24))\/(-9*(-17)\/(-459)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27110112 divided by -76\nAnswer: -356712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33171 is divided by 33123.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.9 and 1.\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(3 + ((-39)\/(-6) - 2 - (0 - -8))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24.9903 times -15\nAnswer: 374.8545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*2)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 117*u - 11 + 11 - 5*u**3 - 2*u**4 + 128*u to k*u**3 + j*u**4 + y*u + p + a*u**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*v - 24 = 786*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.064 (c) -2 (d) 1\/3 (e) 223\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 greater than or equal to 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t - 561 = -21*t + 3*t + 1851 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4504 or -4501?\nAnswer: -4501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1198.126 nanograms?\nAnswer: 1.198126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -40, 11, 82, 173?\n\"Answer: 10*k**2 + k - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**5\/8 + 15*y**4\/8 - 35*y**3\/8 - 15*y**2\/8 + 17*y\/4 = 0?\nAnswer: -17, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 20. Let x be m(-10). Let t = 77 - x. Suppose -5*f - 328 = -4*c, -f + t = 5*c - 334. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pclclclpccclcp. Give prob of picking 1 c and 1 l.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174*u - 228 - 192 = -1069*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13448 is divided by 1818.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k**3 - 2*k**2 - 5*k - 13. Suppose 6 = -19*o + 16*o. What is the units digit of q(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 141?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31847*n**4 + 13*n + 561 wrt n.\nAnswer: -382164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038692422 to six dps.\nAnswer: -0.000387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Suppose -o*f = -5*f + 6. Suppose -f*x + 3 = 1. Let q(u) = 6*u**3 - u. Determine q(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 2. Let y be (25\/(-5))\/1*-2 + -5. Let f(t) = -5*t**2 - 5. Calculate y*r(u) + 2*f(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 23 + -22 + 32 - (3 - 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1494777*p**3 + 3*p**2 - 5*p - 65676164.\nAnswer: -4484331*p**2 + 6*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 7055004.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 145735, 145760, 145785, 145810, 145835, 145860?\n\"Answer: 25*o + 145710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -103, -137, -193, -271, -371, -493, -637?\n\"Answer: -11*z**2 - z - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 4*j + 7*j + 3*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89418 divided by 21.\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:55 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -252*q**5\/5 + 5924*q**3\/3 - q + 4501. What is the third derivative of x(y) wrt y?\nAnswer: -6048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 4*w + 5 + 6*w - w**2 + (4*w - 3*w - 3*w)*(-w + 0*w + 2*w).\nAnswer: -3*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 - 5*u + 42. Let h(l) = -2*l**2 - 3*l + 21. Let k(p) = -7*h(p) + 3*x(p). Is k(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5 + 64*r**4 + 124*r**2 + 2*r wrt r.\nAnswer: 60*r**2 + 1536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25410 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/12)\/((-10)\/75). Suppose 2 - 6 = -z. Suppose -r*u = -z*u - 528. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -15. Suppose 2*w + 3*w + l = 0. Let y be (2 - 10\/6) + w. Is y bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 1 = -f + 3*h, 0 = -5*f + 3*h - 35. Let s be (0 + f\/(-56))*6. Sort -2\/7, -4, s in decreasing order.\nAnswer: s, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 64550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**6\/9 - 5*n**4\/6 + 4*n**2\/3 + 185. Determine k, given that o(k) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 681\nAnswer: 23\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4024, 8074, 12202, 16438, 20812, 25354, 30094?\n\"Answer: 5*d**3 + 9*d**2 + 3988*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 851318077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = v. Let b = 3\/1447 + 31807\/13023. Find the common denominator of v\/(-42)*-6 + 352\/(-70) and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 10*u - 9*u. Is -130 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 - 2*y**4 - 17*y**3 + 19*y**3 - y**2 in the form b*y**3 + f*y + c*y**4 + n*y**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.28 - 561.28. Let u = w - -553.000000655. What is u rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j**5 + 300*j**4 - 1060*j**3 + 1380*j**2 - 352*j - 240 = 0. Calculate j.\nAnswer: -2\/7, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h + 39. Let q be j(-4). Suppose 509 = q*w - 1143. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 8*d - 6. Let r(v) = -2*v + 7. Let z be r(6). What is the hundreds digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219403531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, 1 y, and 1 g when four letters picked without replacement from hyiiggssyhgghips.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 - 37*t**3 + 2537*t**2 + 2*t - 241066 wrt t?\nAnswer: 12*t**2 - 222*t + 5074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 50824 in increasing order.\nAnswer: -2, 4, 50824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -69613 at least as big as -69612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let g(w) = 30. Let x(v) = g(v) - o(v). What is the units digit of x(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19385*o**2*p - 3740*o**2 wrt p?\nAnswer: 19385*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -665 - -1230. Suppose -2*b = 3*b - y. Calculate the remainder when b is divided by 10\/((3910\/(-437))\/(-17)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070828299?\nAnswer: 97, 179, 61673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f**2. Let m be 1\/((-348)\/117 - -3). Let l(v) = -m*v + 39*v - 2*v**2. What is j(l(s))?\nAnswer: 68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 95*f**2 + 155*f - 255.\nAnswer: 5*(f - 1)*(f + 3)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054 = -322381*u + 322347*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4168*j - 315000. Give w(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + v - 300. Suppose b - 43 = -v. Calculate the remainder when 36 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 2*v + 4*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 6*j - 4*l = 10, 18 = 4*j - 5*l. What are the prime factors of j\/(-14) + 9\/(189\/22515)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/8)\/p)\/(p**(-7)\/p) assuming p is positive.\nAnswer: p**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -22.2. Let g = -1.8 - -1. Let y = 306.5 - 306. Put y, g, u in ascending order.\nAnswer: g, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3904)\/(-1708)*105\/8\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48682709 to the nearest integer?\nAnswer: 6977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a week?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -1\/129, 8, -17, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 50*u**2 - 98*u - 94. Let f be h(-48). Solve -f*o + 2*p = 5*p - 1, -5*o = p + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426029 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2964 and -23\/854620.\nAnswer: 2563860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpkupqqurkkqqkuquqp. Give prob of sequence ukq.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 - 13855*m + 6929*m + 6926*m + 253*m**2)*(-3*m + m + 0*m).\nAnswer: -12*m**4 - 506*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.383 + -11.183. Let w = -0.2 + -7.8. Which is the closest to w? (a) q (b) -0.3 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o + 109 + 298 - 81 + 7*o to i + j*o and give i.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(0 + 3 + 0)*(-2*x + 0*x + x) - 6*x + 25 - 25 as z*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1125) + 1*sqrt(1125) + 5)*2 + 0)**2.\nAnswer: 1680*sqrt(5) + 18196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(2\/7))\/(n\/(((n*n*n*n*n**(1\/4)*n)\/n)\/n*n)))**(3\/22)\/((n**(2\/5))**(-1))**40 assuming n is positive.\nAnswer: n**(10273\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - y - 2*y**3 - 4*y + 2*y)*(-6*y + 6*y - 20*y**2).\nAnswer: 40*y**5 + 60*y**3 + 240*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 + 7*z**2 - 5. Let o be 1*(-1 - -90) + (-18)\/(-9). Let v(i) = 11*i**2 - o + 9*i**3 + 44 + 40 - i**2. Give -7*f(d) + 5*v(d).\nAnswer: 3*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1235*n - 598?\nAnswer: 1235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -900*n - 3594. Give f(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - r**2 + 4*r**2 + 7 + 13*r**2 + r**3 + 7*r - 6*r**2. What is h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30846.200037 - 30846. Let s = -1 + 1.2. Let n = k - s. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 7 (b) 4 (c) 130 (d) -776 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Sort -4, 6, z in descending order.\nAnswer: 6, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-12)*3\/(-5). Let m(w) = 10 + 8*w + w - t*w. List the prime factors of m(9).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2. Suppose -12655*i = -12646*i. Let k(d) be the third derivative of i*d + 21*d**2 - 1\/20*d**5 + 0 + 0*d**3 + 0*d**4. What is c(k(a))?\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170897*k = 170924*k - 378 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*a - 32 - 27 + 59 to n + t*a and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.2 + -7.87. Let z = -12.16 + 12.79. Let v = z - r. What is the third smallest value in v, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 105761423 and 0.5.\nAnswer: 105761423.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 - 11*p**2 - 15*p**2 + 6*p**2 as g*p**2 + d*p + y and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1344\/310 - 2) + -2. Let x = 2\/31 + i. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4839.938 micrograms in grams?\nAnswer: 0.004839938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3508\/20)\/(2\/70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:50 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -330210332001?\nAnswer: 330210332222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - b + 228. Is g(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s + 5. Let a(v) = -2*v - 6. Let d(b) = 5*a(b) + 6*g(b). Determine d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 - 0.24. Which is the second smallest value? (a) h (b) 1\/6 (c) -4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:46 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108957381.6 + 316.\nAnswer: 108957697.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.00177\nAnswer: 0.00708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -335 - -341. Is 5321 + (i - 4) - 6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1625*h**2 + 12*h - 6*h + 4*h - 10*h.\nAnswer: -1625*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -1\/4, -0.05, 0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -87. Suppose -5*m + t + 43 = -3*t, 13 = 2*m - r*t. Suppose -p = -m - 78. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 26. Let u be (2 - (1 - i)) + 1. Let y(w) = 2*w**2 - 4*w - 3. Is y(u) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5137 and 27049.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 270263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - 3*w. Suppose w = 3*c - 14. Suppose 102 = c*p - 3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-484)\/1)\/11)\/(6\/15*-1)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from unx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1967028583.2?\nAnswer: 1967028585.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 3. Determine y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2 + -3 - (((2 + sqrt(75))*6 + sqrt(75))**2 + sqrt(75)) - (1 + (3*sqrt(75))**2 + sqrt(75) + sqrt(75))*-1)*-2.\nAnswer: 1650*sqrt(3) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(1 + -1 + 1). Suppose 0 = -213*v + 221*v. Let r(s) = -s**3 + 9*s**2 - s + 12. Let b be r(9). Solve v = -2*p + b*p + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -0.07771915?\nAnswer: 1.3989447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.6709 days to milliseconds.\nAnswer: 18461165760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 971 + -577. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n + 363 = -162*n + 41*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 43*m**2 + 22*m + 9. Let x(d) = 5*d**2 + 2*d - 2. Calculate the remainder when x(-4) is divided by t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100606*w + 100608*w + 6*m + 2, 0 = -5*w - m + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46586746 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: What is the third smallest value in -2, 3.8, -18, 61461?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 2*i + 0*i)*(-2 - 3 + 2).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 64*u**2 + 4*u**2 + 46*u**2.\nAnswer: 111*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/18 and -65\/9444.\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = m, -3*m + 9 = m + a. Let v(y) = 0 - m*y + 0*y - 6 + 2. Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8865.\nAnswer: -17730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, c: 4, t: 2, q: 2}. Give prob of picking 1 q, 2 t, and 1 i.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -56, -94, -134, -176, -220, -266?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**4 - 30566*k**3 - 38933394*k**2 - 12729906*k + 311386032 = 0. Calculate k.\nAnswer: -2547, -3, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l\/(l\/(l\/(l*l**(-3)))))\/(l\/l**(4\/7)*l**(-6)\/l)*(l**(-2\/7))**(-1\/2)\/(l*l*l*l**(-3)*l*l*l\/l**(1\/7)) assuming l is positive.\nAnswer: l**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6465, 6490, 6535, 6600, 6685, 6790, 6915?\nAnswer: 7060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3950514617?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3107 + 3095 = 2*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/4 - 5*c**3\/3 - 3*c**2 - 6*c + 3. Let t be y(8). Suppose 63 = 3*j - t. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 59, 804 in descending order.\nAnswer: 804, 59, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 4 = 11*p. Let a = 40 - 43. Is a greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2221*g**2 - 2175*g**3 + 2221*g**2)*(4*g + 0 + 0) as d*g**4 + o + v*g**2 + y*g**3 + k*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113034, 226068, 339102, 452136, 565170, 678204?\nAnswer: 791238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48449659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-4 + 1)*-1. Let t(z) = z - 2. Let m(h) = -9 + 2*h + 3*h + 0. Let l(v) = g*m(v) + 9*t(v). Let a(s) = -3*s**2. What is a(l(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -135?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(216) - (1*sqrt(216) - sqrt(216)))*-2 + sqrt(216))\/sqrt(12))\/(sqrt(729) - sqrt(729)*2*-6))**2.\nAnswer: 2\/13689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 322*g + 25921.\nAnswer: (g + 161)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 4*m + 2. Let w be p(4). Let z(r) = -r - 2*r + w*r. Let y(x) = -3*x**2. Calculate z(y(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/(22\/(-88)). Suppose -4*c + 1 = -7. Differentiate 12 + 10*r**g - 5*r**2 + 2*r**2 + 4*r**c with respect to r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09642 from 865902922.\nAnswer: 865902922.09642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(1 - (3 + -1)). Let r = -28963 - -28966. Sort r, -3, c.\nAnswer: -3, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 1, m: 3, e: 7, g: 7, k: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 24, 34, 44, 54?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 10. Let m = 34 - 34. Let n be i(m). Let z = 30 + n. Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19 + 11 = 0. Suppose -b*a = -8*a + 84. Let i = -17 - a. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/55 - -131\/385. Suppose 5*y + 30 - 10 = -5*p, -3*p - 4 = y. Which is the nearest to p? (a) 3\/2 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.828405nm?\nAnswer: 0.000000000828405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (550\/(-60))\/5*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 11. Suppose 34 = -3*i + 1. Let w be b(i). Suppose w*c - 4*o = 3*c + 77108, -c - 25692 = -4*o. What is c rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-603)*0)\/((-1 - 1)\/(-2)). Solve 0 + 1\/4*w + m*w**2 - 1\/4*w**3 = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpd when three letters picked without replacement from {y: 2, p: 1, v: 4, d: 10}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553953380?\nAnswer: 2, 5, 1549, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 0.18\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b - 18 = -2*r, 5*b + 12 = -r. Sort r, -9, -5.\nAnswer: -9, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/30)\/(16\/(-192)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y. Let q be (11 + -9)*20\/8. Let m = 8 - 5. Sort m, y, q in increasing order.\nAnswer: y, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4\/3*t - 4\/3*t**3 + 0 + 0*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26462532 to the power of 1\/2, to the nearest integer?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 4 = 4*f, 4*f - 28 = -5*r. Let z = -6 + r. Solve -2*g - z = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 503 - 565.6. Let x = v + 63. Which is the third smallest value? (a) 1 (b) -0.06 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-2)\/10 - (-86)\/(-20)). Suppose 0 = -4*d + n*d - 5580. What is the tens digit of (d\/24)\/((-3)\/(-4) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3.5, -4.3, 3?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r**3 + 11*r**2 - 17. Let i(p) = 6*p**2 + 431*p + 321. Let h be i(-71). Let j(o) = -5*o**3 + 2*o**2 - 3. Give h*j(n) + 6*x(n).\nAnswer: -10*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - 8.7. Let v = o + 11.0005. What is v rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let z(x) = 367621*x**2. Determine z(j(b)).\nAnswer: 367621*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274227251.\nAnswer: 3301, 688951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-30) + (0 - 2\/(-10)). What is the closest to 0 in -4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*k + 166*k = -16. Suppose -2*x = 4*q - 32, x - 10 = -0*q - k*q. What is the highest common divisor of x and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*f = 70. Let q(w) = -w - 10. Let d be q(-6). Let a be 0\/(-1) - d\/f. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((((-25)\/18)\/(-5))\/(2585\/(-1551)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 27*r + 198. Determine y(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlt when three letters picked without replacement from {n: 2, l: 3, v: 4, y: 1, t: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051006 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947499 a multiple of 536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 48600*j**3\/7 + 1485*j**2 + 636*j\/7 + 12\/7 = 0. Calculate j.\nAnswer: -1\/8, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -4.3\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8 - 0.2. Let r = 3 - 2. Let s = r + -1. Which is the smallest value? (a) 3 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14052)\/(-9)*3 - 18\/(0 + -6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(10\/3)\/(o**1)**15 assuming o is positive.\nAnswer: o**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 2. Let g(m) = 3*m + 8. Let h(f) = f**2 - 6*f + 7. Let s be h(5). Suppose -132*k + 164*k - 288 = 0. Determine k*l(j) + s*g(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/17)*b**0)\/(((b**(-2\/31)\/b)\/b)\/b**(5\/4)))**(-35))**(3\/16) assuming b is positive.\nAnswer: b**(-707595\/33728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -2\/3?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 131055420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34590000 divided by 864750\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -72 (b) 2\/5 (c) 1\/7 (d) -0.3 (e) -2\/5 (f) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 18*v - 1340. Let j = 720 + 227. Let g = j + v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*n**3 - 2*n**2 + 3314834 - 3314834.\nAnswer: -423*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 18\/15)\/((-18)\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.4042 and 0.4.\nAnswer: 2.56168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 1, j: 1}. What is prob of picking 1 j, 2 k, and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 and 15\/(-10)*(-364)\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 minus -0.0026?\nAnswer: -170.9974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501433214 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*t - 10*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + p = 13, 2*k + p + 0 - 4 = 0. Let f be k - 4\/(-8)*34. Is 14 a factor of (-3 + (-276)\/f)*30\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-70)*(-70)\/60*24\/(-45)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3 - 1 - 3*j**2 + 2. Let i(n) = n**2 - n + 9. Let a be i(0). Let p(d) = 13*d**2 + 9. Determine a*m(r) + 2*p(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a. Let q(n) be the third derivative of 5*n**4\/8 - n**2 + 47. What is q(m(x))?\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4064 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 45 = 5*h, -v = -2*v - 2*h for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 53*t - 102. Calculate d(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 5:50 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 9 = -4*n, 5*n + 26 = 9*n - 2*f. Solve n*x = -5*w + 2*x + 12, -4*w + 4*x = -32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5 - 2325*z**4 - 237354*z**3 + 91178490*z**2 + 183059757*z + 91646235 = 0. What is z?\nAnswer: -459, -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/13146 and 54\/847?\nAnswer: 1590666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*m**3 + 1)*(13 - 15*m**2 + 9*m**2 + 4*m**2).\nAnswer: -4*m**5 + 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -65004129034301 and 0.3.\nAnswer: -65004129034300.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 115 = 5*b, -4*u = -u - 2*b - 100. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 12. Let c(x) = x - 3. Let o(y) = 9*c(y) - 2*r(y). Let t be o(11). What is the highest common factor of t and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t - 5. Let a be z(1). Let m = -76 + 77. Is 298248\/144 + (-2)\/(a + m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 116 + 157500?\nAnswer: 157616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 8, 34, 80, 152?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4\/3 + 408004*r**3\/3 + 4623999996*r**2 + 157202126775980*r\/3 - 314459744816008\/3 = 0. Calculate r.\nAnswer: -34001, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 468*x**2 - 456*x + 928.\nAnswer: -4*(x - 1)*(x + 2)*(x + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -14*m + 87. Let x(p) = p**2 + 11*p - 9. Let l be x(-12). Factor 165*o**3 - m*o + 9 - 78*o**3 + l*o**2 - 84*o**3.\nAnswer: 3*(o - 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(9\/5))\/((t*t**(-3\/7)*t)\/t*t))**(-28)\/((t*t\/t**(2\/7))**(-7)*t**7\/(t**3\/t*t)) assuming t is positive.\nAnswer: t**(232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 20. Let m = -14 - -19. Solve -j = m*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(21\/6 + -3). Let h be 11\/(-44) - (-17)\/d. Suppose 0 = 6*f - h*f - 22. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*(sqrt(68) + sqrt(68) + (sqrt(68) - -2*sqrt(68)) + 3 + sqrt(68) + 2 + sqrt(68) + -1 + -5*(5 + (sqrt(68) + sqrt(68)*1 + sqrt(68))**2 + sqrt(68))).\nAnswer: -120*sqrt(17) + 92430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 110607561?\nAnswer: -110607523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/240 + 23*m**4\/96 - 22*m**2. Factor q(r).\nAnswer: -r*(r - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 36599238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17512 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*x**2 + 953*x**2 - 423*x**2 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/(-150)*(-9)\/(-6)*(-16145)\/762044.\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 60*b + 339 = -65*b, -1581 = -4*y - 5*b. Solve 0 = 76*x - 28*x + y for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*54\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o**2 + 2*o + 2. Let x be k(-2). Suppose 4*v = f - 345, -9467*v = 3*f - 9465*v - 1119. Calculate the greatest common factor of x and f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 19. Suppose 5*d = 5*l - 16 - 9, -l + 12 = -2*d. Let r = d - n. Let h(g) = g**3 - 4*g**2 - 5*g - 1. What is h(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -73. Solve -t + 27 = l*s, 0 = 4*s - 8*s + 4*t + 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from ptnptntpgttnbbnpngp?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/55)\/(-19*2112\/27588).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1341, 1334, 1345, 1386, 1469, 1606, 1809, 2090?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:04 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4139334?\nAnswer: 2, 3, 229963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -308*x - 628. What is the units digit of v(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3195, 6392, 9589, 12786, 15983?\nAnswer: 19180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k - 7. Let d(p) be the second derivative of p**3\/6 - p**2\/2 - p. Suppose 10*w + 96 = 46. Calculate w*d(h) + f(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -592734111*o*z - 339243677*o wrt z.\nAnswer: -592734111*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r + 2*m, 31 + 0 = 3*r - m. Suppose 4*s - o = -2*o - 216, 5*s = 3*o - 270. Let x = -19 - s. Calculate the remainder when x is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsnn when four letters picked without replacement from nnnnnsnsnsnnnnsssn?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + d**2 + 3 + (-5 + 5 + d**2)*(2 + 1 - 1) + 258*d**2 + 123*d**2 - 98*d**2 + 216*d**2 in the form j*d + y + f*d**2 and give f.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*g**3 - 3\/2*g + 3\/4*g**2 - 2.\nAnswer: (g - 2)*(g + 1)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05677 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (12 - (3 + (-13 - -9) - -9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j + 8*j**3 + 5*j**3 - 2*j**3 - 2*j**3 + j**3 - j**3 - j**3 + (-j**2 + 0 + 0)*(2*j + 0 + 0) - 5 + 5*j**3 + 5.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 - -214. Put -2\/9, c, 0.2 in ascending order.\nAnswer: -2\/9, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -6122?\nAnswer: -6116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + h + 43, -10 = -5*h. Suppose 14 - w = s. Let v = 3 + s. Solve -p = -v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -1?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**2 - 3584*i + 2833. What is r(-399)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 785241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 4*q**2 - 48*q + 1005. Let t(c) = -4*c**3 - 5*c**2 + 60*c - 1006. Calculate 5*b(s) + 4*t(s).\nAnswer: -s**3 + 1001","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 617359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4128 - 4128 - 214*g.\nAnswer: -214*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 + 1?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 4*h**3\/3 + 6*h**2 - 216*h - 80. What is u in w(u) = 0?\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 - -263. Suppose 0 = n - 4*n + 6. Let l = n + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**3 - 32*f + 32*f + (4 - 4 - 4*f)*(5 + 3*f**2 - 5) + (6*f - 6*f + 3*f**2)*(-f + f + f).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjj. What is prob of sequence jjh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 544352?\nAnswer: -2\/17011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/33 and -20\/2079.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t + 60*t**2 - 164*t**2 - 3*t**4 + 76*t**2 in the form u*t + s + d*t**2 + w*t**3 + v*t**4 and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(1 + sqrt(1088))**2 + (sqrt(2448) + sqrt(2448)*2)**2 + (sqrt(136)*-2)\/sqrt(8)).\nAnswer: -125658 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.5. Let a be (-708)\/826*(-4)\/12. What is the third biggest value in z, 1, -11, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65*(-4)\/(-50)*(8 + 1616\/(-192)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 34 + 0 + -2. Suppose 0 = 2*w - d - 30. Suppose -4*m + 8*m - 192 = -4*q, 3*m + 5*q - 144 = 0. Calculate the highest common factor of m and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnhhnnnynq. Give prob of picking 1 q and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603052497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -644445201 + -5?\nAnswer: -644445206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/(-220))\/(13\/(1300\/(-270)))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2*p**2 - 32*p**3 + 0 + 12 + 17*p to the form x + k*p**3 + h*p**2 + d*p and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60132, -62986, -65840, -68694, -71548, -74402?\n\"Answer: -2854*i - 57278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 52624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1 + 3*u + 0*u + 2*u. Let p be t(1). Suppose 72 = 3*k + p*j, -k + 48 = k + 5*j. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from tgtg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -15224.354 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29534110.\nAnswer: 2, 5, 2953411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21 + 404 = 5*a, p = a - 75. Suppose -4*r + 3*d - 1 = -214, r - a = -4*d. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6043659 take away 0.7?\nAnswer: 1.9043659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.184, 5, -5?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4372*z**2 + 2174*z**2 + 2201*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -19.7. Let o = 23 + s. Let l = 59 - 62. Which is the fourth biggest value? (a) o (b) -2\/13 (c) -1\/3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48345 and 13343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2470028*-0.4.\nAnswer: 988011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/13))\/(j*j*j*j**(1\/16)*j*j))\/(j\/(j\/j**(-2\/113))*j**10) assuming j is positive.\nAnswer: j**(-333725\/23504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -368673*a**2 + a + 239210 wrt a.\nAnswer: -737346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*3\/(-4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 38*k - 1. Let z be x(1). Suppose -5*d + 3*w + z = 0, 2*w + 20 - 2 = 2*d. Let j be (10\/(-8) + 2)*4. Solve -d = j*g + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12136 and -14253.\nAnswer: -172974408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 42. Suppose 0 = -0*s - s + 4520. Suppose 3*k + k + s = i. What is k rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(98) + 2 + -4).\nAnswer: -12 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -76. Suppose 2*y = t - 24 - 0, f = -5*t + y + 93. Calculate the common denominator of 4\/t - ((-1726)\/576 - -3) and -73\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1669 - -16739\/10. Calculate the common denominator of w and -45\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-4 - (-164)\/4). Let x be (d\/(-15))\/(1\/(-3)). Solve 0 = -l - x + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -113, -375, -789, -1337, -2001?\n\"Answer: 3*n**3 - 94*n**2 - n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-43)\/(-51) - 0\/(-8). Let i = v + -3\/17. Which is greater: -2\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -22149309*t**5\/8 - 3207321*t**4\/4 - 6183*t**3\/2 - 3*t**2 = 0?\nAnswer: -2\/7, -2\/1027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15456.41 - 15175. Round w to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-1*sqrt(968)).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34919, 34806, 34611, 34328, 33951, 33474, 32891, 32196?\n\"Answer: -l**3 - 35*l**2 - l + 34956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.8. Let v = r - 0.17. Let i = 0.170002 + v. What is i rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 5*k - 17, x = 3*k - 9. Suppose -166 = 5*m - 6*a + x*a, 0 = -3*m - 3*a - 114. What is the common denominator of (-26)\/10*m\/16 and -95\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2508)\/(-46464) + 4\/(-176).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + o = 2*x, -5*x - o = -8. Suppose -5*t + 231 = 201. What is the smallest common multiple of x and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55\/(-11) - (-25 + -3 + 5). Let g(o) = o**2 - 2*o - 13. Let z be g(5). Solve 0 = -3*c + 3*d + u, -2*d - 14 = z*c - 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5\/7 - 2*k**4\/7 - 60*k**3\/7 + 104*k**2\/7 - 32*k\/7 = 0. Calculate k.\nAnswer: -4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -768637, -768636, -768635, -768634, -768633?\n\"Answer: x - 768638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3505 + 3602. Suppose r - 8 + 3 = 0. Suppose 5*g - l = -r*u - 7, 0 = -3*g + 4*u + 47. Solve 0*d + d = 3*c - g, -3 = -d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3024 and 111.\nAnswer: 111888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7 - 20\/44?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2620\/7481 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 at least as big as -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:07 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-224)\/(-49) + -5 + (-18)\/7. Let r be 29\/(-3) - (-1)\/g. Let v be ((-32)\/(-20) + -2)\/((-122)\/r). Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 42 = 8. Let n be 1 + ((-38)\/475 - 154\/(-50)). Suppose 4*s - n*j = -0*s + 40, -j + z = 3*s. Which is the biggest value? (a) s (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -53. What is g in 3\/5*g**2 + r + 3\/5*g = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 172\/4 - (-12)\/(-3). Let q = g - 10. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r + 4*r + 0*r)*(12 - 3 + 3) + (2 + 0 - 3)*(10*r - r - r) + 0*r + r + r)*(r + 0 + 0).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -c + 26, 5*c + 8 = 4*a - 7. Suppose k = a*k + 16. What is the units digit of (-12)\/(-8)*k\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 18, 2\/7, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89552 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2457*w - 12999. Is 274 a factor of z(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13099?\nAnswer: 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, i: 1, k: 1, a: 1, r: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/9)*m*m*m\/(m**(8\/3)*m))**(11\/2) assuming m is positive.\nAnswer: m**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 196936037.\nAnswer: 984680185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 35*w**2 + 113*w - 23. Calculate o(-38).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 68.49, 3, 3\/7, 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 4.5. Sort -2\/7, o, -0.1.\nAnswer: o, -2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1386\/5*q + 2106\/5 + 222\/5*q**2 - 2\/5*q**3 = 0. Calculate q.\nAnswer: -3, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, k: 4, q: 5, t: 2}. Give prob of picking 1 k and 1 q.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. Let q be 2 + o\/6*3. Suppose -33*f - 6 = -30*f. Sort -5, f, q in descending order.\nAnswer: q, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 + 5*z**2 + z**3 + 57 - 34 - z - 24 as t*z**2 + u*z**3 + d + c*z + y*z**4 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 15*w + 65. Let u be p(-6). What is the greatest common divisor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 2\/11, 8, 3, 7, 0.4 in descending order.\nAnswer: 8, 7, 3, 0.4, 2\/11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158679?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41826417.5338952 - -41826431. Let v = b - 13.5661. Let y = v - -0.1. Round y to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ac when two letters picked without replacement from {l: 1, a: 1, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-17 + 14 - -38)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:55 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1010?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8555564*w**2 + 2910814?\nAnswer: -17111128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*v - 113 = 0, 2*v = 3*i + 140 + 199. Let p = i - -128. What is the remainder when p is divided by (2\/5)\/(1\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -410*w**2 + 6*w - 18. Let v(j) = 56581*j**2 - 826*j + 2478. Let o(r) = 3*v(r) + 413*x(r). Let y(d) = -7*d**2. What is 6*o(i) + 357*y(i)?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*v + 2*w - 6, 6 = 2*v - 3*w. Let g = -1 + v. Solve -3*b = 3*u + 9, 2*u - 14 = g*b + 6*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 10. Let d(r) = -r + 16. Let p be d(q). Suppose 30 + 38 = p*u + 3*z, -3*u - z + 40 = 0. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(-1 + sqrt(637))**2*-3.\nAnswer: -336*sqrt(13) + 15312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 930684984 and -5.3.\nAnswer: 930684978.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/c**(-4)*c)*(c**(-1\/33)*c)\/c*c)\/((((c*c\/(c\/(c\/c**(-16))))\/c)\/c)\/(c*c**17)))**(-2\/103) assuming c is positive.\nAnswer: c**(266\/3399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*r - 13 = -5, 12 = 4*x + 2*r. Suppose 0 = z + x - 5. Suppose g + 17 = 2*i - 4*g, -i + 2*g = -8. Calculate the lowest common multiple of i and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*w - 2. Suppose 2*y - 59 = -2*y - g, y - w = -2*g. Calculate the remainder when 3306\/54 - (-4)\/(-18) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32417128 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 4*t + 6. Suppose 20*m + 160 = -12*m. What is u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 8:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**3 - 3*j**2 + 2*j + 1. Let m be h(1). Solve -m*x = 2*u + 4, 5*x + 35 = -0*x + 5*u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4)*6\/(-6 - -3))\/(-3). Let x = -32\/93 - 10\/31. Which is the closest to -2? (a) q (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 46. Let z be 10 + (-2 - (2 + p)). What are the prime factors of 1192\/z - (-6)\/(-21)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 4*w + 93. Let g = -130\/3 - w. Which is the closest to g? (a) 0.5 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 396 - 352*p**3 - 200.\nAnswer: -352*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 10*l**2 - 27*l - 26. Let i be p(-12). Let v be 45\/(-10) - i\/(-4). Sort -1\/2, 2, -16, v.\nAnswer: -16, v, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76840 is divided by 2474.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.25. Let t = -403\/15 - -80\/3. Which is the third smallest value? (a) h (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/(u*u**(-2\/7)*u))**(-3\/10)*u**(-1\/34)*u**(1\/16) assuming u is positive.\nAnswer: u**(8067\/9520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 48356 - 26063. Let j = m - 22300.0003. Let z = j - -7. What is z rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49931*m**2 - 47914 wrt m.\nAnswer: -99862*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -17. Let n(r) = 7*r**3 - 6*r**2 - 9*r - 3. Let w be (-28)\/6 - 2\/6. Let v(q) = -4*q**3 + 3*q**2 + 5*q + 2. Let t(x) = w*v(x) - 3*n(x). Give t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 24. Let o = j - -12.027. What is o rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -2) + 259 + 8 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*t**3 + 6*t - 19.\nAnswer: 45*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, z: 3, c: 5}. What is prob of sequence zcc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.3 (c) -157 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 399*j - 1146. Determine t(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -3*m**5\/35 - 11*m**4\/28 - 5*m**3\/7 - 9*m**2\/14 - 2*m\/7 + 40. Factor k(t).\nAnswer: -(t + 1)**3*(3*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**6 + 2 - y**2 - 7\/2*y**7 - 241*y + 0*y**5 + 103\/6*y**3 + 0*y**4. What is the second derivative of j(z) wrt z?\nAnswer: -2940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = 5 + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)*4 - -8. Suppose 45 = h - n*f, -h + 3*f + 24 + 21 = 0. What is the highest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -506857, -506850, -506843, -506836, -506829, -506822?\n\"Answer: 7*l - 506864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/10)*l*l**(-2)*(l**(-3\/7)*l)\/l**11)**(6\/19) assuming l is positive.\nAnswer: l**(-2379\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2163180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let u be 5\/(10\/(-6)) + s. Let d be (-3)\/((-3)\/4 - u). Solve 5*b + 28 = 3*t, d*b - 4*t - t + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyj when three letters picked without replacement from pyhxjhhyxjhhhypmyx?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452*g + 13578 = 279 - 6247 - 9382 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 459 = -3*c + 11*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10*k - 495 = -20*k, -z + 5*z - 2*k = -74 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 10*s**2 + s + 13. Let b be d(-10). Suppose -5*j = -0*r - b*r - 299, 101 = 2*j + 5*r. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let b(a) = -a + 2. Let u be b(-2). Suppose -k = -u*o + o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054 is divided by 3523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202453606 and 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-6 + 27 + -32) - -15) + 75 + -1.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59019069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 279455047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 27 = -3*p. What is the remainder when 27 is divided by -3*(p\/(-3) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + (-328)\/(-6). What is the first derivative of z + 59*d**3 - 1615*d**2 + 1615*d**2 wrt d?\nAnswer: 177*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.48\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -295 < -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5996.49 hours?\nAnswer: 21587364000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 12. Let j be 3*h\/48*-2. Is 0 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.026.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8256*i + 32763. Calculate j(4).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrqmrrrrqr.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(832) + (sqrt(832) + (-3 + sqrt(832) - sqrt(832)) - sqrt(832)))**2 + -2 + (-5 + sqrt(13) + 3)*-5 + 2.\nAnswer: -53*sqrt(13) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from aataynlynay?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose 0 = -3*t - l - 3. Let r = 0 - t. Is 4\/3 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aho when three letters picked without replacement from oaaohocacocaocahhoo.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16090587?\nAnswer: 3, 19, 73, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 192 = -7*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a. Let y(z) = -8*z. Let s(x) = 3*c(x) - 4*y(x). Let h(l) = 17*l - 3. Calculate s(h(j)).\nAnswer: -17*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 12. Let n be f(-12). Let v = n + -48. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 10. Give a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -1, 0.4, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 189*y + 31*y**2 - 96*y - 94*y + 1 - 1 - 2*y**2 + (0 - y + 0)*(1 - y - 1).\nAnswer: 30*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -7 (c) 4.9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 3*j**2 + j**2. Let g(l) = 5*l**2 + 6*l. Let a(x) = 4*x**2 + x + 1. Let d be a(1). Let c(y) = y. Let z(v) = d*c(v) - g(v). Give z(p(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 43. Suppose -6*q + 210 = v*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 32*b**2 + 2*b - 1. Let c be i(-3). Suppose -5*p + 273 = x, 3*x = 3*p + 2*p - c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 674, 675, 676, 677, 678?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -25*q**2. Let x(v) = 10*v**2 + 4*v + 28. Let z(a) = 19*a**2 + 7*a + 49. Let i(c) = 7*x(c) - 4*z(c). Calculate j(i(d)).\nAnswer: -900*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + 178*a**2 + 2020*a + 3344 = 0.\nAnswer: -76, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*r + 24, -18*q = -19*q + 5*r + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12907 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56071241*p**4 + 8509292 wrt p.\nAnswer: -224284964*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*j + 1055 - 29711 = 355*j + 67*j for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -87. Let d(k) = 35*k - 4*k**3 - 34*k + 0*k**3 - m + 3*k**3 + 7*k**2. What is d(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -634*q - 15948. Determine h(-25).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 21) + 38 + (-136 - (-28 + -2))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.83 - 1.29. Let v = -2.32 - t. Which is greater: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from goggggggggogogoggogg. Give prob of sequence ggoo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 160 (b) 2\/7 (c) 3\/5 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*w**4 + 11*w**2 + 20*w**4 + w**2 + 32*w**2 wrt w.\nAnswer: 1032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 23 = 49*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4*n - 51 - 57, 5*y + n = 127. Suppose -2*j + 0*j + u = -y, 3*j - 2*u - 39 = 0. Calculate the least common multiple of 6 and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, 1.4, -3\/34, 9, 1\/2?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 6. Let v be s(-6). Calculate the common denominator of (-142)\/(-3)*1\/v and 1 + (316\/(-24) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 10. Let i = 6.2 + v. Let o = 0 + -0.4. What is the closest to 0.1 in o, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 6:01 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 786520 and 131705.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is aa513a (base 12) in base 7?\nAnswer: 31662604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/4)\/(p\/((p\/p**(-2\/11))\/p)))\/(p**(2\/15)\/p*p*p**3))**(-1\/40) assuming p is positive.\nAnswer: p**(3103\/26400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 45, 182, 467, 954?\nAnswer: 1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let s be 1 - ((-1)\/q - 1). Suppose 0*z + 5*z = 40. What is the greatest common divisor of z and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Let w be d(3). Suppose 3389 - 3149 = -234*g + 11472. What is the greatest common divisor of g and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001707948 to six decimal places.\nAnswer: 0.001708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4))**(-13)*j\/((j**(-1\/6)*j)\/j)*j*j*j*(j\/(j*j**1))\/j*((j**(2\/7))**(-6\/31))**(9\/7) assuming j is positive.\nAnswer: j**(-21043\/18228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 8. Let l be z(0). Let k = l - 0. Let j(d) = d**3 + 10*d**2 - 7*d - 2. What is the hundreds digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10954851819414 take away -0.03?\nAnswer: 10954851819414.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*2 - sqrt(144))\/sqrt(12))\/(sqrt(16)\/(sqrt(16)\/sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(5*(sqrt(208) + 0) - (4*(sqrt(208) + -1))**2 - (-4 + -1*(sqrt(208) + (2*sqrt(208) - sqrt(208))))**2).\nAnswer: -12571 + 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 7, -2\/9, -0.05, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.07, 1, 5\/6, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6865*t + 768882. Give d(-112).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from yvzxzzzdz?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 5:00 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = 5*g, -4*g - u = -5*u + 8. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*d - 3*x - 17, -2*d - 5*x = 0. Let a be 4*(d\/(-10))\/1. Suppose 8*h = 4*h + 20. Solve -5*c - a*l = 10, h*l = 3*l + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a92 - -4?\nAnswer: -a8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -2\/23, 22, 0.011, 0.008?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -3\/2*g**2 - 2*g**3 - 3*g - 1. Let v be d(3). What is v rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + 5 - -3*(sqrt(28)\/sqrt(4) - sqrt(7)) - -4*sqrt(77)\/(sqrt(110)\/(sqrt(40) - sqrt(10))).\nAnswer: 3 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 50\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -12. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 148?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 21. Suppose -45*d = -46*d + q. Suppose -z = -4*z + d. Solve 1 - z = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*f - 43 - 18 = 0, -3*f = -4*j + 31 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48057 and 2123?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.348 - -10.528. Let j = 11 - b. Let d = j - 0.92. Is 45 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o**2 + 100 - 90*o - 4*o**3 + 11*o**2 + 2*o**3 + 0*o**2 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195a1 (base 11) to base 16.\nAnswer: 6ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55712996?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 968 - 942. Calculate the remainder when 49 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001852 to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**5\/60 + 5*p**3\/3 - p**2. Let s(x) be the first derivative of -x**2\/2 + 10*x + 5. Let i be s(10). Give a(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((21\/(-7))\/(66\/(-11))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wivt when four letters picked without replacement from {m: 2, q: 1, v: 2, t: 2, w: 5, i: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 10100010?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -181\/3. Let d = 8\/13 - 46\/117. Which is the nearest to 0? (a) g (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/18)\/((-1)\/26). Let g(i) = i**2 + 14*i + 13. Let y be g(-12). Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209.7 - -199. Let g = q - -11. Let s = -0.294 + g. Round s to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0 - r + 3*r**2 - 10 + 7*r**2 + 3*r**3 + 0 to the form m*r + j*r**2 + u*r**3 + b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -21*p - 17. Let l(g) = -22*g - 12. Calculate 5*l(m) - 4*w(m).\nAnswer: -26*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 551, 4, -7 in descending order.\nAnswer: 551, 8, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.869029 days to milliseconds.\nAnswer: 679884105.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljt when three letters picked without replacement from {j: 2, l: 5, t: 9}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 1. Let c = h - -58. What is the smallest common multiple of 9 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 91*l + 14 - 6 in the form p + h*l and give h.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 0*y)*(0 + 1 - 3)*(6 + 7 - 3 + (1 + 0 - 3)*(4 - 4 + 1)).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -819*y**2 + 539*y. Let v(d) = -41*d**2 + 27*d. Let l(o) = -6*i(o) + 119*v(o). Find the second derivative of l(f) wrt f.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50\/1721 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 28 = m, 3*u - 78 + 37 = -2*m. Suppose 4*s - 284 = 12. Calculate the remainder when s is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142288, -569197, -1280722, -2276857, -3557596, -5122933?\n\"Answer: d**3 - 142314*d**2 + 26*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-17)\/((-833)\/(-3080))*(-14 - 0). What is the greatest common divisor of c and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.31 rounded to 1 decimal place?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 881018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 53*p.\nAnswer: -p*(p + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153013 (base 8) to base 2.\nAnswer: 1101011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*h + 630 = -187*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.35 - -0.35. Let x = y + 20.99999915. What is x rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - -101100001111010011?\nAnswer: 101100001110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -19*v**4\/24 + v**3\/3 - 5*v**2. Let s be u(-1). Suppose 4*y = s + 19. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65204434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 28*p + 2. Let l(i) = i + 1. Let c(r) = -3*j(r) + 6*l(r). Let f be c(1). Let q = -45 - f. Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 12. Is j(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 4*z + 3*z)*(-56*z + 101*z - 51*z) in the form w + a*z**2 + b*z and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -11. Let r = -9 + -28. List the prime factors of (r + v)\/(-3 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 78687, -7 in decreasing order.\nAnswer: 78687, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17*h - 66. Let f be m(-4). Suppose 5*a + r = -f*r + 147, 0 = 3*a + 2*r - 89. Solve 5*l - 17 = 4*d - 0*d, a = d + 5*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*k + 175*k + 296*k + 176*k + 65*k as z*k + v and give z.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 724623?\nAnswer: -724623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11589798 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 85182954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Let y(k) = 7*k - 12. Let b(i) = i - 1. Let l(r) = 6*b(r) - y(r). What is l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3092, 6106, 9060, 11960, 14812, 17622, 20396?\nAnswer: 23140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.69 and 7172.4.\nAnswer: 12121.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 + -86. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + 3*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/20 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 32*o + 72. Let r be d(25). Let m = r - -868. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 5, 3.\nAnswer: -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 196756?\nAnswer: 196760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1704 bigger than -1700?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/360 - w**5\/60 - 7*w**4\/24 - w**3\/6 - 2*w**2. Let d(p) be the first derivative of u(p). Give d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/(15\/(180\/8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {k: 1, c: 3, q: 11}.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(8)*-1 + sqrt(6))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146973 and 222.\nAnswer: 10876002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/143 + -357\/286. Calculate the common denominator of 1\/((-110)\/25) - -2 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2. Let u(n) = -55281973*n**2. Calculate u(t(c)).\nAnswer: -221127892*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:23 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 17 + 15 = 0. Suppose 75 = 2*j - 5*j - 5*x, 156 = -5*j + 2*x. Let y = j - r. Solve -4 = -y*h - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123299.\nAnswer: 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d. Let p = 10.63 + -10.1. Let j = p + 3.47. Put d, -0.4, j in decreasing order.\nAnswer: j, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4322 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 8:38 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/12 - (-5)\/2. Solve -w + 0*w - 4*l = -1, -8 = -2*w - g*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265608247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 650179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -21*h + 7*h + 3*h. Let u(p) = 2*p + 5*p - 6*p + p. What is j(u(r))?\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 37 + 7. Let s(x) = -x**3 + 11*x**2 + 15. Is s(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.342892 to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 14*i - 8. Let p be l(-8). Sort 4, -3, p, -1 in descending order.\nAnswer: p, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -295 - -167. Let i = -70 - x. What is the remainder when i is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1239*z**3 + 147*z**2. Let h(g) be the third derivative of -7*g**6\/20 + g**5\/12 - 2858*g**2. What is 147*h(b) - 5*l(b)?\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -85. Does 6 divide 1*(-11)\/(33\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 53*j**2 - 2221*j - 8880. Give s(-4).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 10*n + 21. Let f be m(10). Let y be (16\/14)\/(6\/f). Suppose -g + y*g = 333. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179075233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 358474 divided by -151\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011011 + 101?\nAnswer: -10111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2*z + 2*z + 3 + 2*z - 3 + (z + 2*z - 2*z)*(0 + 5 - 3) - z + 3*z - 3*z - 5*z + 4*z + 3*z + 143*z - 239*z - 71*z - 3 - 2*z + 3.\nAnswer: -165*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 + 2960 = -324*a - 869 - 5810 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 0.2438?\nAnswer: 1.7562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 1. Let g be u(-7). Suppose -l = -6*l + g. Let d = 6 + -4. Solve d*s - 5*a = 4, 4*s - a + l = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 7*a - 4. Suppose 0 = 2*x + 2 - 8. Suppose 0*r - x*r = 3*t + 24, -5*t - 34 = 4*r. Let l be h(r). Is l at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*o - o. Suppose -2*n + 4*g + 40 = 0, -2*n = o*g + g - 32. Let c(a) = 4*a**3 + 9*a + 9. Let h(p) = p**3 + 2*p + 2. Give n*h(z) - 4*c(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11)\/m**(-2\/17))\/(m**(-5))**(-2\/93))**(-1\/16) assuming m is positive.\nAnswer: m**(-1669\/139128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/22099 and -93\/88396.\nAnswer: 88396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**2 + c - 33. Suppose -k - 1 = 4*p + 13, 3*k = 5*p + 9. What is x(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -330 + 1?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -k - 28. Suppose -7*c = -118 - 64. Let l = k + c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9327 + 0*k + 9327 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 2, d: 4, e: 1, x: 2, l: 1}. What is prob of sequence ex?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.003 - 11.197. Let w = -11.1 - x. Let r = 5 - 5. What is the closest to w in 1, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 10\/(-3). Let q = o - -12. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201830 is divided by 139.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581981889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.746 and -1.\nAnswer: -15.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9008)\/(-6) - 72\/54. Let j = u + -990. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**3\/6 - 6*j. Let g be w(-5). What is the third derivative of y**g - 11*y**2 + 4*y**2 - 3*y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*f = 32, f - 4 - 4 = 2*o. Let z be 12\/7 + o - (-2)\/7. Which is the third smallest value? (a) 0.08 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11714289 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*z + 24 = 0, 21*o + 41*z = 20*o - 33 + 152 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 7*t**3\/6 - 2*t**2 + 335*t. Let q(l) = -3*l. Give z(q(h)).\nAnswer: -21*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-15))\/(16\/120). Let w(q) = -6*q + 5. Let p(h) = 21*h - 18. What is z*w(b) - 5*p(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49257 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 7, q: 7}. Give prob of sequence wmm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-19 - 118*b + 19) to the form w + y*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*x - 22*x - 44. Let g = -133 + 330. Suppose -4*n - m - x*m = -g, -4*n = 3*m - 195. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17082*k**4 + 507*k - 325. Let y(g) = 949*g**4 + 28*g - 18. Let b(h) = -5*n(h) + 91*y(h). Find the second derivative of b(u) wrt u.\nAnswer: 11388*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 0.01, -13, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/((-6)\/8). Suppose 6*q = d*q + 40. Suppose 0 = 5*z + 229 - 299. What is the least common multiple of z and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8267 + -6121. What are the prime factors of r?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 9. Let g = m + 0.99979. Round g to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -10, -40, -108, -226, -406, -660, -1000?\nAnswer: -1438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4438?\nAnswer: 2, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27107 is divided by 27099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**4\/4 + 3*q**3 - q**2\/2 - 4*q - 1. Let p be k(-9). Solve -25 = -5*w, -a - 3*w + p = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 56*j**2 + 8*j + 13. What is the hundreds digit of x(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**7\/15 + 13*z**5\/30 - 23*z**2\/2 + 20. Let u(c) be the second derivative of r(c). Find the third derivative of u(o) wrt o.\nAnswer: -336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 6}. What is prob of picking 2 c and 2 d?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13762 - -13760. Let l(u) = -8*u**2 + 5*u + 2. Let r(c) = 8*c**2 - 5*c - 3. What is j*r(s) - 3*l(s)?\nAnswer: 8*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021242 (base 8) to base 4.\nAnswer: 2002022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3170*o - 8 + 3 + 1 to the form i*o + z and give i.\nAnswer: -3170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 10*j**2 + 3*j + 49. Calculate the remainder when 466\/14 + (-10)\/35 is divided by c(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 9. Let i(p) = 2*p**2 - 15*p + 21. Let j be i(6). Suppose -159 + 144 = -j*y. Solve -v = -y*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/8*(-4)\/33. Let i = -0.664 + 1.164. Which is the third smallest value? (a) f (b) -3\/4 (c) -0.2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 6800*a + 2890000.\nAnswer: 4*(a - 850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 28 = 2. Suppose 12 = 4*c - k*a - 19, 5*c - a = 23. Solve d - 2*s = -0*s + 9, s = -c*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(171)*2 + sqrt(171) + sqrt(171) + (-2*sqrt(171)*1 - sqrt(171)))\/(sqrt(108)\/(sqrt(192) - sqrt(12)) - (sqrt(315)\/sqrt(5))\/sqrt(7)) + 2.\nAnswer: 5 + 15*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*13.733591.\nAnswer: -54.934364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230732 is divided by 1254.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 15*d**4 + 1339*d**3\/2 - 2003*d + 1. Find the second derivative of f(q) wrt q.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90099 divided by -71\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(72) + 0 + sqrt(2) + 4 + -2 + sqrt(8)\/sqrt(4) + 4.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 27*j - 17787. What is the highest common divisor of j and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -108, -218, -344, -492, -668, -878, -1128?\n\"Answer: -r**3 - 2*r**2 - 97*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26235772 + 2?\nAnswer: 26235774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-8) - 7\/28. Suppose -2*x + f + 1 = 0, 2*f - 16 = 3*x - l*f. Suppose -w + 188 = x*w. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, 886, -62 in increasing order.\nAnswer: -62, -21, 4, 886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 72*m**2 - 1099*m + 47. What is n(-50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 680 = -346. Let m = 339 - h. Let i = m + 293. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u + 117*u - 27*u - 38*u - 27*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9825 = 4*m - o, -5*o + 6327 = -4*m + 16156. What are the prime factors of m?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 1210830892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, 4, 0.1 in descending order.\nAnswer: 4, 0.3, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1753*m**2 + 26*m - 1. Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 49 (b) -24 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, -4, 0.083, -65?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(475) + (-2 + sqrt(475) - sqrt(475))*5)*-6)**2 + -5*(0 + sqrt(475)) + sqrt(475) + 4 + (-1*sqrt(475))**2 + 5).\nAnswer: -18100*sqrt(19) + 105920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4068976 and 368?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 1.8. Let q be ((-21)\/9 + 2)*(9 - 8)*-3. Is q greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*r - 1485 + 1488, -5*r = -5*v + 10. Which is the fourth smallest value? (a) 2 (b) v (c) -3\/7 (d) 11\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n = 5*n - 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 925*w**3 + 4750*w**2.\nAnswer: -5*w**2*(w - 5)*(w + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/3 + (-14)\/21. Suppose c*q = 12*q - 477. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-1 + 1 + 2*c)*(-142*c - 126*c + 220*c).\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55143816 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**3 + 6*b**2 - 24*b + 27. What is f(2)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 + -103. Solve -3*y + 4 = -r*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 3*q**2 - q**2 - 3*q**2. Let y(r) = 45 - 45 + 10*r**2. Calculate y(j(d)).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -4 (c) -14 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2 - 23*m - 2)*(-m + 2*m - 35*m).\nAnswer: 782*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 221365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/232218 and -83\/15597309.\nAnswer: 93583854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -188 + 563 - 189 - 183 - 23*p as z + g*p and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 95099365 and 95099372 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203552?\nAnswer: 2, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 569986236 - -309.\nAnswer: 569986545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, t: 6}. Give prob of sequence iiti.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 31 = -u, -2574*j = -2579*j + 2*u + 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 13*n - 2. Determine u(8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 - 1064. What is y rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**5\/5 + 2*a**4 - a**2\/2 + 10667*a - 9755. Find the first derivative of x(r) wrt r.\nAnswer: 4*r**3 + 24*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 5:01 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.11*59.63.\nAnswer: 1735.8293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 14*o**4 - 4*o**3 + 0*o**3 + (3 - 1 + 0)*(o**3 + 2*o**4 - o**3).\nAnswer: -10*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -704 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6590446545.10000064 + 6590432612. Let l = 13933 + w. Let p = l + 0.1. Round p to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Factor 2*u + c*u**3 - 2*u**3 + 3*u**3 - 2*u**4 + 2*u**2 - 3*u**3.\nAnswer: -2*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922483 is divided by 442.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -94, -211, -376, -589?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13022*0.11.\nAnswer: 1432.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(243) + -6*sqrt(54)\/sqrt(2))*-3)\/(sqrt(9) - (sqrt(900)*-3 - sqrt(900)) - 1*sqrt(441)).\nAnswer: 27*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-40)\/24)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1012 and 382720.\nAnswer: 4209920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21837053 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/5 - 132*f**3\/5 - 1314*f**2\/5 + 3036*f\/5 - 1587\/5 = 0. Calculate f.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*d - 24*d + d - 125*d.\nAnswer: -213*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h = 400 - 26 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 188 (c) -79 (d) 0.1 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1109201*g**3*h**3*o + 10*g**3*h**2*o - 331*g**3*o + 2*g**3 + 4*g**2*h**2 - 2*g**2*o + 29*h**3*o - 3*h**2*o + 17*h*o wrt h.\nAnswer: -6655206*g**3*o + 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 + 4*d + 5. Let g be x(6). Let u = g - -12. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -4) + 4 + 14 + (-21 - -14) + -15.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208782 is divided by 52192?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/9 + 33941300*y\/9 - 144001480711250\/9 = 0.\nAnswer: 8485325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -633, -636, -639?\n\"Answer: -3*z - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2076*w + 1382 - 1133*w - 47 - 1181*w with respect to w.\nAnswer: -4390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1877 divide 265463204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 54391.86 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - 3*f**2 - 5*f**2 + (-3 + 3 + 2*f)*(-2*f - 1 + 1) - 2*f**2 - f**2 + f**2 - 1.\nAnswer: -10*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/20 - 15*k**4\/4 + 43*k**3\/6 + 43*k**2\/2 - 2*k + 139. Let h be j(44). Let w be (3 + -2)*4\/170. Does w = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 11\/238 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.81 - -81.51. Let d = -0.0731 + -70.9269. Let a = d + t. What is the third smallest value in a, 6\/11, 0.5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 h when four letters picked without replacement from {h: 4, j: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25438 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 4. Let x be t(-8). Let i be (7\/((-35)\/x))\/2. Let d = 2.9 + 0.1. Which is the nearest to i? (a) -2\/9 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001760794 to seven decimal places.\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - -32 - (1 + -4)*7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 69 - 35. Suppose 19 = 2*a + n, 2*a - 2*n + k = 5*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/6)\/(((-560)\/72)\/35). Solve q + p = -2*m + 6*m, -m + 10 = -2*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-4 - 0) + 7439985. Suppose 0*q = 3*q - b. Suppose -7*j + 4*k = -3*j + 4960012, -2*j - q = 2*k. Round j to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 175 = 2827. Let k = -98 - v. Solve -n + 0 = k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 27*r - 54 = 0. Calculate r.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - 2*o**2 + 0*o**2 + 2 - 5*o**3 - 3 - 12*o in the form k*o**3 + w*o**2 + y + h*o and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*d - 179578 + 359166 - 179588.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 1. Let b be r(-1). Let j = b - -14. Let w(t) = 19*t + 1. Calculate the remainder when w(1) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755015159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 173 - 59 - 56 - 58 - 444*x in the form t*x + o and give t.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 62 + 23. Suppose v = 5*r + 7. What is the derivative of -r*k + 0*k + k + 2 wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*c**3*g*u**2 - 6*c**3*u**2 + c**3*u - 2244*c**2*g*u**2 + 7038*u with respect to g.\nAnswer: 36*c**3*u**2 - 2244*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -2 (c) 3\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.154 - 4.77. Let t = m + -1.384. Sort t, 5, 0, 1 in descending order.\nAnswer: 5, 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -972*w + 2243 + 22341 + 8464 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -1.7. Put -1, t, 1\/2 in ascending order.\nAnswer: -1, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002679 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572*w**5 + 2480*w**4 + 108*w**3 - 9608*w**2 - 9584*w - 1248 = 0. What is w?\nAnswer: -3, -2, -13\/11, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 9 - 15*l + 17*l)*(-2 - 2*l**2 + 2) to the form a*l + j + g*l**3 + t*l**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -412*g**4 - g**2\/2 - 1052*g + 819. What is the derivative of j(f) wrt f?\nAnswer: -4944*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8018 - 7730 = -24*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73\/650 + 5\/26. Let m = 56\/75 - p. Sort -2, 0.3, m, 0.\nAnswer: -2, 0, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14300927?\nAnswer: 17, 841231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*t**4*y + 56986*t**2*y**3 - 8*t*y**3 - 11*t*y**2 + 5*t + 2*y**3 - 766 wrt t?\nAnswer: -1524*t**2*y + 113972*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.75 + -58.43. Let l = n + 46. Round l to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30 - -5*(-5)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 204126 - 27989. Let d = z - 176136.4999925. Let i = 0.5 - d. What is i rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - 6 - -45*9 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.7 + 18.3. What is the closest to -1 in -4\/3, -43, z?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 518 = -196. Let h(c) = f*c - 9*c**2 + 1 - 119*c. Suppose 5*q - 7 = -2. Determine h(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {w: 1, y: 1, n: 5, v: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m - 0*m. Calculate the highest common factor of m and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11381*a + 2 - 37 - 11*a**2 + 11379*a)*(0*a - 2*a**2 + 0*a) as p*a**2 + m*a**3 + k*a + t*a**4 + w and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 8*r**2 + 5*r - 9. Let y be s(-7). Suppose 4*m - 2*o = -58 + 194, -130 = -4*m + y*o. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-340)\/6426)\/((-10)\/36))\/(1\/(-12))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6345\/7 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -12\/29 (b) 3 (c) 885 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42.3 - 4.8. Let k = -38 + i. Which is the third smallest value? (a) -2 (b) 1\/10 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 - 333\/(-37). Solve -3*c + 9 = -s*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 11050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343232007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(1\/10)*m*(m*m\/(m\/m**(-19)))\/m assuming m is positive.\nAnswer: m**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -18*q**2 + 1. Let p(m) = 54*m**2 - 4. What is -3*p(k) - 10*s(k)?\nAnswer: 18*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/36)\/((-112)\/(-28)*9\/12)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/2904 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6282944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 600, 601, 600, 597, 592, 585, 576?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 9 - 13*g - 35 + 15 + 4 to the form c*g + d and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, f: 2, m: 4, v: 1}. Give prob of sequence mnv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-25889)\/(-4) - (-9)\/12. Let b = g - 18873. What is b rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r = 42*r + 840. What is the greatest common divisor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*n**3 - 31*n**2 - 96*n**3 + 0*n**5 - 3*n**5 wrt n?\nAnswer: -180*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2592 - 9216. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8079.525+9.876\nAnswer: 8089.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6705 + 9794. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - 2*sqrt(121))*3 + sqrt(121))\/sqrt(11))**2 + -3 + 0 + (sqrt(396) - (-5 + sqrt(396)*-1))**2 + 4.\nAnswer: 120*sqrt(11) + 1654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*i - 6 = 4*a, -4*i + 30 = -5*a. Let l(q) = -q - 6. Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/76 in -2\/13, -0.3, 2\/191, 5?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3056.678 millilitres to litres.\nAnswer: 3.056678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -638 + 1085. Suppose 5*w = 2*w + q. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430801 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p + 7. Let w(g) = 11*g - 8. Suppose 3*t = -4*y - 3, 4*y - 3*t = 11 + 16. Let l(h) = y*w(h) + 2*q(h). What is the first derivative of l(n) wrt n?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 893 + -2681\/3. Is s greater than or equal to 0.0079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*b**3*v**2 + 4*b**3*v + 517*b**3 + 149*b**2*v - 3*b*v**2 - 7*b - 2 wrt b.\nAnswer: -138*v**2 + 24*v + 3102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167832104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2960610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1776*y - 4574. Let l(m) = 889*m + 2315. Let c(a) = 4*g(a) + 9*l(a). Differentiate c(d) with respect to d.\nAnswer: 897","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:15 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129577583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**4 - 16*t**3 - 10*t - 10. Let i = -12 - -22. Let r(w) = w**4 - 5*w**3 - 3*w - 3. Let l(m) = i*r(m) - 3*b(m). Factor l(o).\nAnswer: -2*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1082*f**2 - 23. Let l(v) = -2*v**2. Give c(l(a)).\nAnswer: 4328*a**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*(-20)\/(-360) + 73\/36 and -151\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 5*n + 10. Suppose y + 4*h - 2 = 0, y + 4*h + 6 = 8*h. What is the smallest common multiple of f(5) and y\/(9\/6 + -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (232\/30)\/(4\/10) + 3. Let b = -20\/3 + f. What is the common denominator of -127\/30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 18595*h - 2 - 17346*h to r*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -51*g + 236. Let y(v) = -331*v + 1418. Determine 13*l(o) - 2*y(o).\nAnswer: -o + 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 4, 3.28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84*k**2 + 2*k**3 + 84*k**2 - 16)*(k + 4 - 4 - 5*k + 5*k - k + (-k + 3*k - 3*k)*(4 - 3 + 0)).\nAnswer: -2*k**4 + 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -13. Let w(a) = -2*a + 1. Let s(d) = 8*d - 4. What is f*s(m) - 9*w(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s. Let k(z) = 15*z**2 - 14 - 6*z**2 + 15*z**2 - 4*z**2 - 14*z. Let v(q) = 7*q**2 - 5*q - 5. Let h(i) = 5*k(i) - 14*v(i). Calculate h(a(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198733177 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74404*d**2 + 295382*d?\nAnswer: -148808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8799*t**4 + t**2 - 2*t + 181.\nAnswer: 211176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from ellllyyyylhmhh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/7)\/(72\/16 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111035211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 88, 136, 202, 292, 412?\n\"Answer: d**3 + 29*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (268\/(-335))\/(-2*1\/(-10)). What are the prime factors of 438 + 1 + (a - -4)?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w - 5*w + 6*w - 1. Let x = -67 - -68. Let d be l(x). Sort 5, 3, d in ascending order.\nAnswer: 3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*c + 3259 + 3499 - 4554 = 40798 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 20868 = 32479. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -26*g + 20*g, 7*g - 11 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -140*4\/(-32)*((-35)\/7)\/(-20)*8?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75035093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 25632099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -573081 - -23?\nAnswer: -573058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q = -22 - 1131 - 2915 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z**4 - 1\/6*z**3 - 1\/180*z**5 + 0 + 1\/540*z**6 + z**2 + 0*z. Let i(d) be the first derivative of o(d). Factor i(a).\nAnswer: 2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5969*l = 5956*l + 264862. Is l a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = p - 129, -4*f + 99 = 5*p. Let d = 138 + -88. Suppose 3*n = -5*l + 34, l - d = -4*n - l. What is the highest common factor of f and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121470426 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (25 + -24 - -37) + -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(-n - n + 4*n - 2).\nAnswer: -6*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95940.96 centuries to months.\nAnswer: 115129152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/36 + (-986)\/144 and ((-303)\/12 - -1)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 at most 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 156 + 9. Suppose 0 = -y + w - 14. Suppose -45 = -24*b + y*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**3 + 26*p**2 - 14*p + 2. Let k(w) = -3*w**3 - 9*w**2 + 5*w - 1. Let n(b) = -4*h(b) - 11*k(b). Calculate n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = q, 2*k = -6 - 4. Let l be 4\/q*10\/(-4). What are the prime factors of (2\/(-4))\/(l\/(-120))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/(6\/(-90)). Suppose 26*z - 57 = -u. Solve -14 + 6 = z*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = a - 3, g - 10 = -2*a. Suppose -6*v + 37 - 1 = 0. Let y be (-2 - -2)\/(v\/6). Solve g = -u - y - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + 4*r + 5, 2*d + 6 = -2*r. Solve -4*y + 0*y - 20 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + g + 12. Let w(m) = g*m + 1 + 5*m - 4*m - m. What is w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480431.13 rounded to the nearest one thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -1\/60*l**5 + 2*l + 1\/24*l**4 + 0 + l**2 + 0*l**3. Let k(m) be the first derivative of f(m). Find p, given that k(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258192375 divided by 11995.\nAnswer: 21525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 9. Let j = -116 + 117. Which is the closest to 0.5? (a) j (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 q when three letters picked without replacement from {e: 8, a: 1, t: 5, q: 2, r: 1}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299 - -299.222. Let i = s + 1.078. Put 5, i, -4, 1\/2 in descending order.\nAnswer: 5, i, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*f**2 - 21*f**5 + 0*f**2 + 4*f - 22*f wrt f?\nAnswer: -420*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4411*0.2\nAnswer: 882.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39520.05 days in hours?\nAnswer: 948481.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8520668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9352285*p + 10894150?\nAnswer: 9352285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -12. Let w = l - -7. Suppose -2*k = w*s + 12, -7*s - 9 = k - 2*s. Sort -2, 7, k in descending order.\nAnswer: 7, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) -1 (c) 345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -334 + 629. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -3 (b) -80 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 + 10 = 0. Let s(k) = k**2 + 3*k - 2. Let c be s(-4). Solve d + 5 = -c*z, 0 = -v*d + 5*z - z + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375462517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*c - 72*b**2 + 23*b*c - 6217*c + 7 wrt b.\nAnswer: 4*b*c - 144*b + 23*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/70*4\/6. Put -1\/3, w, -0.3 in descending order.\nAnswer: w, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -934.\nAnswer: -3\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*p**4 - 5*i*p**2 + 3*i*p - 347*p**5 wrt p?\nAnswer: -48*i*p - 20820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-1 - 15)*-4*1814 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2781572627 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7791 - -30?\nAnswer: 7821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -344*0.15\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.54, 1, -6, 292, 3, 2 in increasing order.\nAnswer: -6, -3\/2, 0.54, 1, 2, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -370*b**3*o + 2*b**3 + 1699*b**2*o - 268075*b*o - 21*b wrt b?\nAnswer: -2220*b*o + 12*b + 3398*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 7*d + 9*d + 4. Put -6\/7, 4\/79, -1\/9, d in increasing order.\nAnswer: -6\/7, -1\/9, 4\/79, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 58*b - 17*b - 20*b + 8 - 12*b - 13*b. Let g(p) = -2*p**2. Give g(f(j)).\nAnswer: -32*j**2 + 128*j - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 q when four letters picked without replacement from {g: 8, j: 2, q: 2, s: 1}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -10\/39 (b) 1 (c) 0.5 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + p)*(-12 - 7 + 2*p + 13).\nAnswer: 2*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x**2 - x + 1. Let a(k) = -48*k**2 - 18*k + 2. Determine -a(w) + g(w).\nAnswer: 56*w**2 + 17*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + -39 - -58) + -39.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l = -204 + 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -433316158*r**4 - 8*r + 28555175 wrt r.\nAnswer: -5199793896*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(27) + sqrt(27)))\/(-2*sqrt(1296)) - (sqrt(144)\/sqrt(3)*5 + sqrt(48)*1 + 4).\nAnswer: -24*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3715844917 rounded to the nearest 100000?\nAnswer: 3715800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, -2\/79 in ascending order.\nAnswer: -0.3, -0.04, -2\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.210694413 rounded to 3 decimal places?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d + 27*d + 12 - 24*d + 6 in the form n*d + x and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029511507 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-428)\/(-95) + 8\/(-76). Which is the closest to 1\/4? (a) 16\/5 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*y + 463*y - 10*y**2 - 1151*y.\nAnswer: -10*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-72)*(-5 + -3). What is the third biggest value in b, 6\/5, 0.4, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**3\/3 + i**2\/2 - 2*i. Calculate x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43667.527 rounded to the nearest 100?\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*m + 7380, 0 = 4*m + 2*t - 0*t - 5908. Let g = m - 289. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/4 - 703*p**4\/4 + 17209*p**3\/4 + 769563*p**2\/4 + 178597*p - 375115 = 0. Calculate p.\nAnswer: -65\/3, -2, 1, 58, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 865 or 237735?\nAnswer: 865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*z + 24 = 0, -11 = -2*o - o - z. Let n(i) = 10*i - 1. Let f be n(o). Suppose -2*q + f = -53. Calculate the greatest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.2 - -6. Is j < 2.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (74\/8)\/(1\/4). Suppose -4*j - 26 = -2*r, 0 = -4*r + 2*j - 9 + o. Solve r*h + 20 = 5*k - 0*k, 2*h = -10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145955779 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*t + 16, 23*w - 2*t + 11 = 28*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 299 + 166. What is the units digit of (g - -1)*(-3)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbbbbbvbjbbbd. Give prob of sequence bbv.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 9. Is 2 a factor of y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 + (-24)\/10. Let o = 0.966 + 0.034. Which is the second smallest value? (a) m (b) o (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2050, -3126, -4214, -5320, -6450, -7610?\n\"Answer: -o**3 - 1069*o - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-2\/3))\/(a*a*(a**(-4)*a)\/a))**(-30)*a**(-22\/5)*a**0*a**(-5) assuming a is positive.\nAnswer: a**(-547\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2))\/g**(-1\/15))**(-37)\/(g**(-4)*(g*(g**(1\/2)\/g)\/g)\/g*(g**1*g)\/g**(-2)) assuming g is positive.\nAnswer: g**(-3359\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((16\/(-24))\/(4\/18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p + 4*m, 4*m - 4 = -4*p + 12. What is the remainder when 11 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2663, -21214, -71567, -169622, -331279?\nAnswer: -572438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 7*w**2 - 6*w - 9. What is d(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**3 + 2*l**2 - 37*l + 5. Let r(z) = -6*z**3 - 3*z**2 + 37*z - 7. What is 2*r(m) + 3*t(m)?\nAnswer: 3*m**3 - 37*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t, -5*u - 5*t = -103403 - 122482. What are the prime factors of u?\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12840 and 260?\nAnswer: 166920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bed + 27?\nAnswer: c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-123 - -126)*26\/6. Solve w = -4*c + 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 241?\nAnswer: -23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*x - 3*x + 3558, -2*i + 1437 = -5*x. What are the prime factors of i?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 3*p - 2. Let j be i(2). Suppose 10*h = 7*h + 99. Suppose h = w + 5*o, -11 = -w - o + 2. Calculate the greatest common factor of w and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2681507 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(2 + (-15)\/10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -5*m - 10. Let i be -5 + m - (-3 - 12). Is 12 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.16 rounded to zero decimal places?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14172, 14183, 14200, 14223, 14252, 14287, 14328?\nAnswer: 14375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8139803\nAnswer: -3\/8139803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.2. Let x = 3.4 - 5. Let f = 1.5 + x. Which is the nearest to f? (a) i (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/30)\/((-626)\/(-1565)))\/((-2)\/276)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51000 and 136.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-663)\/(-204) + 2\/(-8). Suppose t*j - 4*m - 877 = -2*m, -5*j + 2*m + 1455 = 0. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 106*p = -100*p - 6, 0 = 3*j + 5*p - 27 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 486 - 482. Solve -9*k + 4*k = -10, 0 = 5*c - u*k - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 16*k**2 + 18*k - 31. What is a(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.2 - 1.8. Let g = -29 - q. Let m = -3 - -5. Sort g, m, 5 in decreasing order.\nAnswer: 5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25240, 25195, 25168, 25159, 25168, 25195, 25240?\n\"Answer: 9*i**2 - 72*i + 25303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anfqn. What is prob of picking 2 n, 1 a, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22053 divided by -3?\nAnswer: -7351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221031 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10161892?\nAnswer: 2, 13, 73, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 14*v = 30. Let o = 6 - 4. Solve -4*d + v = -d + 2*c, -o*d + 6 = 2*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2964.06 - -210.94. Which is bigger: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374 and 11330.\nAnswer: 192610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2424972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 + 1440*u**2 - 123600*u + 2960000 = 0.\nAnswer: 40, 100, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3, v: 3, q: 3}. Give prob of picking 1 v and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*f + 38 = -4*w + 1247*f, 5*w + 5*f + 40 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14769\/43 or 343?\nAnswer: 14769\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64277 and 30493765?\nAnswer: 3781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0*t**3 + 0 - 1\/3*t**4 - 60*t**2 + 0*t. Let k(u) = u. What is -20*k(g) - 3*z(g)?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15 and -9.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1825 - -1822. Let g be (-6)\/4 - 9\/6. Let o be (g\/9)\/((-8)\/(-12)). Which is the nearest to o? (a) t (b) -1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9989 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-2)\/6)\/(16\/192). Let q(v) = -v**3 + v**2 - 9. What is the tens digit of q(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {i: 1, x: 3, r: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -10*t + 55. Let i = 26 - t. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 6*b)*(2 - 2 - 2)*((14*b - 3*b**3 - 14*b)*(4 + 1 - 4) + (-9*b + 9*b + 4*b**2)*(-1 + 2*b + 1)).\nAnswer: 20*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-12)*(-6)\/(-40). Let q = b - 17\/56. Is q at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 5220*o**4 - 104*o**3 - 135720*o**2 + 100*o + 130500 = 0.\nAnswer: -1305, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 13 = 2*c. Suppose -7*q + 2*q - 63 = o, 4*q - 3*o + 39 = 0. Let v = 132 + q. What is the greatest common factor of c and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -262762\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1729908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - 3*t)*(33265*t**3 - 33123*t**3 - 48*t + 42*t).\nAnswer: -142*t**4 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 = 4*q + 3, -15 = 5*m - 4*q. Let g(l) = -l - 2. Let b be g(-7). Let u(z) = -z**2 + 7*z - 6. Let v be u(6). Sort v, b, m in descending order.\nAnswer: b, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138058, 276107, 414152, 552193?\nAnswer: 690230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 2*f + 23, 43 = 5*p - f. Let b = p - 7. Let t = -102 + 104. Solve -t*r - 20 = b*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440678 - 0.009.\nAnswer: 440677.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 12 = g. Suppose 3*c = -5*h + 28, -3*c - h + 16 = -2*h. Suppose c*p - 198 = -g*p. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 2*y**2 + 2*y + 8. Let l be w(-2). Let s(q) be the first derivative of 7*q**3\/3 + q**2 + 10*q - 1. Does 9 divide s(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/44 + 0\/2. Suppose -39 = 3*c + o, -3*c - 2*o = 2*c + 66. Let g be 3\/c*-12 - 1. Is g bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.015 + 43.015. Let r = -28 + j. Let d = r + -14.8. What is the third biggest value in d, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4060 - 4060. Which is the second biggest value? (a) 0.2 (b) 3\/7 (c) 47 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1905726, 1905732, 1905738?\n\"Answer: 6*v + 1905720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/7))\/z*z)\/z*z)\/z**(-2\/5)*z**1\/z**(-6))\/(z**(-4)\/z**(-5)*z\/z**(6\/7)*z**(-5)) assuming z is positive.\nAnswer: z**(424\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001114143 rounded to five dps?\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -14ac?\nAnswer: -14b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7*v + 5*v + 4247 = 0, -4219 = -3*h + 5*v. What is the highest common divisor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 52*z - 21 = 0. Let t(s) be the first derivative of s**3 + 4*s + 1. Let v(u) = 1 - 1 - 5 - 7*u**2 + 10*u**2 - 6*u**2. Determine z*t(a) - 6*v(a).\nAnswer: -3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*w + 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -759736*a + 5318136. Determine y(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 12*u**2 - 29*u - 15. What is h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)*-1 - (74 - 77). Suppose -7*m - 15 = -12*m. Is m less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1438443*p**2 + 1418156*p.\nAnswer: -2876886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 14 = 29. Solve 9 - 15 = a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 81276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 0 + 14*x + 5 - 3*x**2 - 8*x. Let z be u(8). Let i = 10 - z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*t + 32, t + k = 2*t - 4. Let n(y) = -y**3 + 9*y**2 - 8*y + 6. Calculate n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 6738643?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -580 and -0.2.\nAnswer: -580.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 3*r - 25 = 0, -2*p = 2*r - 4*r - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 25*p**2 + 14*p**3 - 53*p**3 + 3*p + 26*p**3 + 14*p**3 to w*p**2 + x*p + j + g*p**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(0 + sqrt(343)) + (2*(sqrt(343) + 0))**2).\nAnswer: -70*sqrt(7) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430*y - 2*y**2 + y**3 + 4952*y + 1493*y.\nAnswer: y**3 - 2*y**2 + 6875*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k = -132*k + 924. Let z = 48 + 14. Suppose 0 = k*r - z - 542. List the prime factors of r.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 - 22*k**2 + 22*k**2 + (3 - 6 + 2)*(-2*k + 2*k + 2*k**3) - 4*k**3 - k**3 + 2*k**3 + 0*k**2 + 0*k**2 + 2*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181\/4 - -45. Let i = -3 + 0. What is the closest to n in -0.5, i, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 2*f**2 - 2*f + 2. Let a = 1 - -3. Suppose a*b - 10 = 2. Give p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*-2*14\/84.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11596, 23328, 35034, 46714, 58368?\n\"Answer: -13*a**2 + 11771*a - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 16*a**2 + 8*a - 9. Give w(4).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 14*k**2 - 2*k + 23. Give j(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 133, 122, 113, 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2956964 - 56?\nAnswer: -2957020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3 + 1. Solve 7 = -j*w + 3*l, -5*w + 4*w - 2*l - 7 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24188519, 48377043, 72565567, 96754091, 120942615?\n\"Answer: 24188524*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -7072954\nAnswer: 919484.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 839.9025 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8453 + -7738. Solve -55 = -o*d + 726*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26823*p**2 - 8*p + 20. Let b be l(6). Round b to the nearest ten thousand.\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 * -4.84706\nAnswer: 494.40012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 1312*o + 311987. What is g(312)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116123\/6 + -19348. Let b(c) be the second derivative of 5\/4*c**5 + 5*c**2 + 0 + a*c**3 + 20*c + 15\/4*c**4 + 1\/6*c**6. Solve b(q) = 0 for q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17948 + -17795. What is the remainder when 1518 is divided by s?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by ((-182)\/(-910))\/((-1)\/(-35))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.22351 and 0.05.\nAnswer: -0.17351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 175218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 317745, 4, -69, -4.\nAnswer: -69, -4, 4, 317745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 1, i: 5, y: 1, o: 1}. Give prob of sequence oir.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -249 and 767.8.\nAnswer: 518.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 22422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 7*v - 4*v + 8*v. Let m(j) = 25*j - 148. Let h(q) = -25*q + 124. Let t(l) = -6*h(l) - 5*m(l). Calculate b(t(y)).\nAnswer: -25*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iifiif. Give prob of picking 2 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 152208 and 0.38.\nAnswer: 152208.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2231 - 2229. Let d be (-360)\/(-44) - -2 - (-2)\/(-11). Let p = 3 - -2. Solve -r*q + 5*f + 27 = 0, d = -q + p*f + 36 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271 by -10.\nAnswer: -271\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 243176 not equal to 1215883\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4597139 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2739959, 2739983, 2740029, 2740109, 2740235?\n\"Answer: 2*s**3 - s**2 + 13*s + 2739945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/285683 and -73\/14628.\nAnswer: 181694388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t - 8*t - 10*t.\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 - -132652?\nAnswer: 132727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 153137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*q**5*w**2 + q**5 + q**2*w**2 - 3*q**2 - 5*q*w**2 wrt q?\nAnswer: 660*q**2*w**2 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8019 + -7063. Calculate the remainder when v is divided by 159.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*x**3 + 4*x - 4*x**4 - 6*x**4 - 3 - 3*x + 8*x**4 in the form y + h*x**3 + t*x**2 + q*x**4 + b*x and give h.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/13725 and 131\/480.\nAnswer: 439200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 6*n**3 + 8 + 1 + 5*n**4 - 4*n**4 + n**4 - 9*n**2 in the form v*n**3 + j*n + o + r*n**2 + z*n**4 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 0.0794.\nAnswer: 1.0794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 11. Let d be q(10). Let v(c) be the first derivative of -5*c**4\/2 - c**3\/3 + c**2 - c - 1. Calculate v(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j**(-2\/23)*j)\/j)\/j))\/j**(-1)*((j*j**(1\/3))\/j*j)**(-23) assuming j is positive.\nAnswer: j**(-1903\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3 - 48238858*v**2 + 146997805*v?\nAnswer: 6*v - 96477716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67530337051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, x: 2, r: 2, u: 3, i: 2, d: 1}. What is prob of picking 1 i, 1 r, and 1 u?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152160559.\nAnswer: 307, 495637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let f be (-8)\/(-3)*(-42)\/(-4). Let s be (-24)\/f + 0 + 1. Which is the second smallest value? (a) k (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**2\/3 + 10174*x\/3 + 848.\nAnswer: -2*(x - 1272)*(4*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 100408\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 11*y - 8*y, -5*r = y + 15. Suppose y = 5*h - 5*v - 920, 8*v - 9*v = h - 184. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-12))\/((4403\/(-222))\/119)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 0.9481007844302?\nAnswer: -17.0518992155698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*s + 41 - 41 + (3*s + s - 2*s)*(3 + 2 - 2) + (5 - 6 - 2)*(4*s - 2*s + 0*s) in the form b + g*s and give g.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 761110 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*j - 37, -3*m = -j - 3*j + 11. Suppose -4*x - 30 = -j*x. Suppose -3*c + 32 = c. What is the remainder when x is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 4*o - 15889 = -p, -4*p = -20. Let d be o\/114 - (-2)\/12. Let x be 0\/((-15)\/(-21) - (-10)\/d). Solve 8*y - 3*y + 25 = x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1011 + 4377. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*n + 538*n + 537*n - 2160*n + 535*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 2*u - 8. Let m be a(-6). Suppose -2*z - z - 12 = b, m = -3*b - 4*z. Solve b*l - 2*l + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.33, 1\/6?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2021 (base 3) to base 14\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615804275.\nAnswer: 5, 73, 337427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8746.214 millimeters to meters.\nAnswer: 8.746214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5967 and 16133?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3113352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/238 or 994?\nAnswer: 994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 940 - 150 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -8, 66, 180, 340?\n\"Answer: j**3 + 11*j**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3618 (base 14) to base 7.\nAnswer: -36331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5) + (10 - 1404\/120).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 2*v + 4. Let z be 2 - -1*(-1 + 4). Let p = 100 + -97. Let k(c) = -4*c - 23*c**2 - 8 + 21*c**2 + 1. Calculate p*k(m) + z*i(m).\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235*q**3 + 1296?\nAnswer: -705*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**3 + x**2 + 1\/12*x**4 + 0 - 4*x. Calculate q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 64163 - 64467 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61197 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - 19*o - 72. Let a(n) = -2*n**2 + 7*n - 9. Let x be a(3). Is 7 a factor of y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4) - (-9)\/18. Suppose -3 + 6 = -a*u. Suppose 2*s + 2*f = -s + 51, -5*f = -s + 17. Sort 3, u, s in descending order.\nAnswer: s, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 + 291. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 485, 982, 27, -3838, -12071?\n\"Answer: -243*r**3 + 732*r**2 + 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 12. Let c(u) = 2*u**3 - 5*u**2 + 2*u + 2. Let t be c(4). Is x*(-1 - t\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*d**2*h**3 + 13*d**2*h + 8*d**2 - 167*d*h**3 - 2*d - 14*h**3 wrt d?\nAnswer: -306*h**3 + 26*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1\/4 (c) -3\/5 (d) 1.77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from qkpnptan.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(304) + 1)*-4)**2 + -2.\nAnswer: -512*sqrt(19) + 19518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 258 times -0.035\nAnswer: -9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -121040657 divided by 2\nAnswer: -121040657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15432 times -0.3\nAnswer: 4629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -321302.5 and -3375?\nAnswer: 317927.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010001 + 2110?\nAnswer: 1012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*9)\/((-186)\/248)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.13, -3, -5 in decreasing order.\nAnswer: 0.1, -0.13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2056*v - 12163.\nAnswer: -2056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 - h**2 + 3*h + 2. Let t be n(-2). Suppose 16 = -4*l, -3*x + l = -t - 2. Suppose -5*s + x = -3. What is the least common multiple of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3164 - 3161. What is the nearest to 1 in 1\/6, -13, 0.04, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1388*h. Let k(q) = 127*q - 3. What is g(k(m))?\nAnswer: -176276*m + 4164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -65, -81, -7, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5565195 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 32*i**2 + 29*i**2 - 22*i**2.\nAnswer: 39*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 104530 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-174 + 87 - (-1 + 7)) - 16?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awawwwaawwmwwaqaqqaq. Give prob of sequence am.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 6. Let a be h(9). Is 3\/(-3)*57\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -29. Let n(o) be the second derivative of 0*o**2 + h*o + 1\/3*o**4 + 0 + 1\/6*o**3. Factor n(v).\nAnswer: v*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -23*n + 5. Let a(t) = 22*t - 5. Let c(g) = 3*a(g) + 2*w(g). Differentiate c(x) with respect to x.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5856131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*w - 128. Calculate the common denominator of (1 + w)\/(-3 + -1) and -49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 433*f**2 - 4*f - 4. Let n(m) = 865*m**2 - 7*m - 8. What is 4*n(i) - 7*r(i)?\nAnswer: 429*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 a when four letters picked without replacement from yayyaayy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -132261*r**3 - 287886?\nAnswer: -396783*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851 is divided by 845.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 12:46 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 10. Let d be p(-6). Suppose 5*l - 9*l - d = 0. Let a be -1 + -1 - (l - -1). Solve -a*y = -0 + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -4*x + 8, -1552*r = -68*x - 1554*r + 136 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*a + 4*j, -6*a + 765*j - 27 = 762*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gddgdgggdggggddd. What is prob of sequence dggd?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010010111 (base 2) in base 13?\nAnswer: -4c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/4 - 3*p**3 - 5*p**2 + 8*p - 1. Let v be s(10). Suppose -4*u + v = 28. What is the second biggest value in u, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.13 - 0.13. Let k = -2 + v. Let t be 1\/(((-4)\/(-2))\/(3 + 7)). Which is the second smallest value? (a) k (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -11027\/231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -8 (c) -14 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46226834, 92453670, 138680506, 184907342, 231134178, 277361014?\n\"Answer: 46226836*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -11*p - 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805991.\nAnswer: 3, 11, 54727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2172, -4501, -6846, -9213, -11608, -14037?\nAnswer: -16506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8714899 or 8714898?\nAnswer: 8714899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/8 (b) -1 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 7:31 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306969 by -17.\nAnswer: 18057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24075 is divided by 2997?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-27)\/749)*2\/7 + (-91)\/39\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5 - 1202*w**4\/7 - 19526*w**3\/7 + 10446*w**2 - 10044*w\/7 = 0?\nAnswer: -62, -27, 0, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 5*q + 2*q)*(-4 - 3 + 5)*(-2*q + 1 - 1)*(-2*q - 2*q - 4*q)*(-3 + 2 + 2) in the form l*q + w*q**3 + p + s*q**2 and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 144?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4*q - 3*q - q - 1 + 1 + (-5 + 0 + 3)*(2 - 2 + q))*(0*q - q + 2*q) in the form w + n*q**2 + i*q and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -595*a + 73526 - 73526 + (-1 + 1 + 2*a)*(1 + 0 + 0) + 0 + 0 + 2*a + 3 - 2*a - 3 + 3*a - a + 0*a.\nAnswer: -591*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = a - 3*b + 21, 0 = 2*b - 6. Sort 1, 0.4, a, 5 in decreasing order.\nAnswer: 5, 1, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(4*n**2 - 4*n**2 - 3*n**3) + 2*n + 14*n**3 - 4*n**2 + n**3 - 13*n**3 - 6 to the form z + j*n**2 + t*n**3 + d*n and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*k + 38. Let h be (3\/((-90)\/(-948)))\/((-1)\/(-5)). Let b = h - 148. Calculate the least common multiple of b and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 41832?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 9:21 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 32?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 252, 246, 220, 168, 84?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-24)\/(-9))*(0 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276444 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: List the prime factors of 901773683.\nAnswer: 43, 367, 57143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -17, 0.3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2035.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-8 - -2 - (-3 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 2 = 8*a, 0 = 5*v - a - 234538. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 54.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 158.7. Let f = a - -16.75. What is the biggest value in f, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1109 + -2. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 178dc2 - 5?\nAnswer: 178dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -15. Let h(x) = -2*x + 32. Let l be h(14). Is 10 a factor of k - (l + -8*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m - 5*a - 36, a - 8 = 3*m. Let h(n) = -n - 2 + 2*n - 3 + 4. Let l(p) = p**2 + 7*p + 1. Let i(u) = 3*h(u) - l(u). Give i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4516170736?\nAnswer: 2, 7, 11, 293, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = -4*b, -2*z + 4*b = 0. Let i be (-2 - (24\/(-10) + z)) + 0. Is 1\/2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45837, -91673, -137509, -183345?\nAnswer: -229181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 218 - 226 - 33*o - o. Let g be b(-3). What is the second derivative of 4*x**2 + 22*x + 94 - g wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502475337 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-540)\/(-65))\/((-1551)\/6721)*-15*(-1)\/(-4)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13838434*q - 1041223 wrt q.\nAnswer: -13838434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1125566 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 divided by 32?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 124672 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*-3)\/((sqrt(40)*-5)\/sqrt(4) + sqrt(10)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 - (39 + 1 + -55) - 13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 5:32 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**7\/840 + i**6\/120 + i**5\/40 + i**4\/6 + 190*i**3\/3 + 234. Let v(k) be the third derivative of t(k). Determine v(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/14*-1)\/((-17)\/119). Suppose -o = -3, o - 670 = -x*y - 3*o. Suppose -y - 131 = -4*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6*(-1)\/(-8)). Calculate the greatest common divisor of 20 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7533782 at most as big as 7533799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/15984*-5217)\/((-1)\/9)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3 + 18. Let z be (10\/o)\/((-2)\/3). Suppose -v + z = 9. Let t(m) = m**2 + 6*m + 1. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**19\/c**(-1)*(c**(-2\/9)*c)**(-39))**44 assuming c is positive.\nAnswer: c**(-1364\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1394914*y + 109837*y - 2.\nAnswer: 1504751*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548717703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007750299 to seven dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -3.2 (b) 4\/5 (c) 45\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(21\/2 + -3)*-5. Suppose -s*f + 4*w = 0, 4*w + 4 = f + 6. Solve -k + 3*k + f*d + 2 = 0, -5*d - 9 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2. Let r = -5 + 7. Let m(f) = -2*f**r - 5 + 5 + 3*f**2. Determine k(m(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**9\/1512 + m**6\/120 + m**3\/3 + 3. Let u(g) be the third derivative of v(g). What is the third derivative of u(k) wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4455 and 104490.\nAnswer: 1149390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(52)\/(sqrt(4)*1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from xxxqxxxqqxqxxqxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10504 (base 6) in base 10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 12 - 66. Suppose 0 = -2*b - 4, 10*k = 15*k - 5*b - 845. Let g = v + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -450*i**3 - 11346806820*i**2 - 3025815128*i - 201721008 = 0.\nAnswer: -25215126, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zddddzddsd. Give prob of sequence dsz.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 - 10*w + 23. Let r be t(0). Let b(x) = x + 54. Determine b(r).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -1\/3*n**4 - 3\/20*n**5 + 0*n**2 + 0 + 0*n**3 - 2*n. What is the third derivative of t(d) wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 5. Let v be s(-6). Let p be v + (-4)\/(60\/21). Which is the nearest to p? (a) -3\/2 (b) 2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 367. Let i = 428 - n. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 1, h: 2, e: 1, m: 3, u: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 15.5. Which is the closest to -2\/3? (a) -0.4 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (120\/9)\/((-2)\/(-6)). Let h be (30\/r)\/((-1)\/4). Sort 3, h, 4 in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 1)*(-2*t - 3*t + 4*t) + t + 1 - 1 + 270*t + 317 - 317 to m*t + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*y = -0*y - 382, 573 = 3*g + 2*y. Let w = 1068 + g. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 + 2205\/2646?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26044514 - 11?\nAnswer: 26044503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - n - 3)*(-4 + 4 - n)*(-3*n - n + 2*n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 + n**2 + n - 1. Calculate the lowest common multiple of 44 and f(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 776 divide 6769598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 37*f**2 - 110*f + 184. Determine y(-14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130353 to the nearest ten thousand.\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 563, 1280, 2277, 3548?\nAnswer: 5087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 5*a**3\/3 - a - 7. Determine z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.025 - -0.052. Round g to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -6*w + 2*w + 68, 336*v - 8 = 337*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3249)\/95 + 21)\/((-72)\/20 + 4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 5*d = 0, 375 = -c + 4*d + 381 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438280*s**2 - 438337*s**2 - 437948*s**2 + 1314200*s**2.\nAnswer: -365*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/17 (b) -2\/5 (c) 11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*n - 7002, -3*n - n + 6992 = -4*f. Let p be (-2)\/8 - (-107)\/(-4). What are the prime factors of f\/(-9) + ((-12)\/p)\/2?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1110000110?\nAnswer: 1110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433*y**5 + 3*y**4 + y**2 + 3*y + 392.\nAnswer: 8660*y**3 + 36*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 + 196. Let a be 20*(4\/(-5))\/(-2 + f). What is the greatest common divisor of a and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 5*h = 11400. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 41. Sort 10, q, 0, -5 in descending order.\nAnswer: 10, q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-129)\/(-215)*(-3*1 - 196\/(-63))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3 - 4 - h**2 - 3 + 27*h - 34*h. Let x be r(-6). Suppose 2\/5*i**x + 0 + 3\/5*i**3 + 1\/5*i**4 + 0*i = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*y - 5 - 44, c - 17 = y. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(2\/(-18)). Suppose -k = 4*q, 3*k - 2*q = -r*q + 8. Suppose 2*t - 4*t - k = 3*x, x - t = 2. Solve 3*i = 4*b + 3, 4*b = -x*i + 2*i - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -589.51 (b) -2\/55 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 968473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 5. What is o(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2058 - -1171. Let w = -610 - p. What are the prime factors of w?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0*v + 5*v - 7 + (0 + 1 + 1)*(1 + 2 - 2)*(0*v - v - v).\nAnswer: -v - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413\/1283 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7615521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(837*i - 837*i - 42*i**2 + (0*i + 0*i - 2*i)*(-3 - i + 3) - i + i + i**2 + 0*i**2 - 2*i**2 + i**2)*(12*i - 19*i - 8*i).\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/7 (b) -0.8 (c) -16 (d) 0.2 (e) 4 (f) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {g: 5, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 74. Is (756\/4 + l)\/(2 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 1891 = 1884. Which is the closest to 3\/7? (a) 3\/2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4 - 8. Solve -5*t = 2*u + 33, z*u + 10 = -t - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22698487 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*m = -3*a + 146*m + 18813, 5*m = -5*a + 31395. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**3 - 212*a**2 + 328*a - 128.\nAnswer: 4*(a - 16)*(a - 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6656547 rounded to 2 dps?\nAnswer: -4.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 + -1.2. What is the nearest to -1\/5 in b, 1, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**2 + h. Suppose 2*i - 3 = 3*f, 0 = -f + 1. Let w(b) = 325*b**2 + 3*b + 119. Let v(x) = i*k(x) - w(x). Differentiate v(j) with respect to j.\nAnswer: -686*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -529*t**2 - 49*t. Let i(n) = -n - 1. Let o(w) = -5*i(w) + l(w). What is the second derivative of o(a) wrt a?\nAnswer: -1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:48 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8696.157 litres?\nAnswer: 8696157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-1350)*30)\/(4\/6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -12. Which is the nearest to 0? (a) m (b) 3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-21))\/((-720)\/(-252)))\/2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17706865, 17706864, 17706863, 17706862?\n\"Answer: -b + 17706866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s + 17397 + 26525 = 3785. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*m - 5, m = -5*j + 3*m + 43. Is 9 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1547558 + 0*d - 1547560 + 0*d - 697*d**2 to j*d + r*d**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = -2*g + g, -2*v + 9 = -g. Suppose -3*x = -3, 4*t - v*x + 3*x = -4. Let w be (t\/(-3))\/((-2)\/(-1)). Is 0 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 118 (c) -32226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/19 - 74\/133. Which is the biggest value? (a) -1 (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b**2 + 27*b + 9 = 0. What is b?\nAnswer: -3, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2332960 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2 + 5253*i + 1567 with respect to i.\nAnswer: -2*i + 5253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 10*b + 22. What is the least common multiple of x(-8) and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 5527.8341764.\nAnswer: 5495.8341764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -89, -88, -85, -80?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212122420 (base 5) in base 13?\nAnswer: 7896c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -11. Suppose 0 = -v + s + 7. Find l, given that 24*l**3 - v*l**5 + l**4 - 12*l - 3 + 0*l + 4*l**2 - 4*l**4 + 2*l**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x**2 - 22 + 40 + 7.\nAnswer: 43*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*r**2 + 14\/3 - 41\/9*r.\nAnswer: -(r - 1)*(r + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 10. Let t(y) be the second derivative of y**3\/6 - 5*y**2\/2 + 6*y + 5. What is 2*n(c) - 5*t(c)?\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 8*i + 4. Let m(v) = 14*v - 3*v**3 + 7*v - 3*v + 7 - 3*v. Suppose -4*z + 11 - 27 = 0. Calculate z*m(k) + 7*t(k).\nAnswer: -2*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12179400 and 954.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - 2. Let k = 25 - 27. Let y(x) = -15*x**3 - 11. What is k*y(u) + 11*z(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57245\/16 - 3581. Calculate the common denominator of x and 30\/(-500)*165\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044029785 to six decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (45 - (-8 - (-18 + 18))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, 31, -13, -2 in ascending order.\nAnswer: -13, -2, 31, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 20*b + 5. Determine q(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 336, 356, 376, 396, 416?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 51*x + 67. Let c be j(14). Round c to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by 2.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k + 11. Let j = 94 + -96. Let l(x) = -2 - x + 3 + 2*x. What is j*u(r) + 22*l(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 6\/7 (c) -3 (d) 1\/3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -18*c + 1. Let u(w) = -55*w + 3. Give -7*i(y) + 2*u(y).\nAnswer: 16*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74033 (base 10) to base 8.\nAnswer: 220461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1823362?\nAnswer: -1823362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-15)\/135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) -284 (c) 0.1 (d) 9 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 0*a - 39*a**3 + 0*a + 13*a**3. Suppose 27*t - 630 = 3*t - 11*t. What is the lowest common multiple of k(-1) and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27252, 27236, 27220, 27204, 27188?\n\"Answer: -16*r + 27268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 363146147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*p - 11. List the prime factors of (162\/(-4) + -1)*4\/p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -204, -425, -740, -1161, -1700?\nAnswer: -2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j**2 - 45*j**2 - 39*j**2 + 13*j**2 + 32*j**2 - 38*j**2.\nAnswer: -121*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43021 + -2401?\nAnswer: 40120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/80*(6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -0.5 (b) -4\/3 (c) -3 (d) -19.6 (e) -3\/182\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5472444 and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4151, 4, 5, 0, 2.\nAnswer: -4151, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5212 (base 6) to base 14.\nAnswer: 5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/70 + (-6)\/(-15). Let f be ((-39)\/(-7 + -6))\/3*(-8)\/44. What is the closest to 2 in s, 1, f, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7884467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:14 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -215.0433 - -0.0433. Let t = q - -221. Is t greater than or equal to -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/20*399\/((-293265)\/(-840)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -653\/2 or -328?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87720355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12446 - 12445. Solve -5*u + 9*u - 2*n - 18 = 0, 0 = -n + c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -19. Suppose 4*o - l = -5*h + 16, -2*h + 32 = 4*o. Sort 5, h, 0.\nAnswer: 0, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24488443423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 5, 1, -5, -13, -23, -35?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 884 + -881. Suppose 0 = v*z - 192 + 195. Let s = -0.03 - -0.33. Which is the nearest to z? (a) -3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 23*u + 4. Let w be d(-23). Let o(k) = 5*k + 4*k - 11*k + 4*k + w*k**2. Calculate o(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 11:00 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5899d3 + 5?\nAnswer: -5899cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 1050239.\nAnswer: 7351673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = l - 18764, 9*k + 247*l = 249*l + 84412. Calculate the least common multiple of k and 1876.\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let n = 1.2 + -0.2. Let k be (-1)\/6*1 - -1. What is the nearest to n in k, -0.3, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, t: 1, y: 2, r: 1, o: 3}. Give prob of sequence omto.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*p - y, 4 = p + y - 1. Let k be (p + 2)\/((-4)\/28). Let v(n) = n + 19. Let h be v(k). Solve -4*u + 4 = 4*a, 2 = 2*a - h*u + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10*s = 75. Let k = s + 18. Let f = 9 - k. Let n(o) = o - 3. Give n(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + 0.1. Let m = -185 + 185.16. Let n = -2.16 + m. What is the closest to 1 in -9\/2, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 10*v + 10. Calculate k(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-276)\/18*(-5 - (-4)\/2). Let k = n - 56. Let u = k - -29. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/150*165\/66?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -p. Let u(z) = 5*z**3 + z**2 - 2*z + 1. Calculate the remainder when u(1) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyyyff. What is prob of sequence fy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r - 36*r - 16640 = 0. Does 29 divide (-2)\/(-3) + r\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337045 is divided by 1034?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 49*q + 20 = 4*u, 17 = -q + 3*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10784*k - 2836211. Determine l(-263).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.024, 0.1, 9, 0.4, 1, 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1098*j - 361. Does 25 divide h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 0*v - v + 396 + 156 + 0*v to n + j*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/9)*r)\/r**(2\/5)*(r**(-1))**(2\/19) assuming r is positive.\nAnswer: r**(1468\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -146a9 + 21?\nAnswer: -14688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/30 - 29*a**5\/60 - a**4\/12 - 38*a**3 - 441*a**2 + a. Find the second derivative of b(d) wrt d.\nAnswer: 24*d - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 - 15*x + 29. Let d(b) = -4*b**2 + 11*b - 20. Let h(k) = -8*d(k) - 5*r(k). Determine h(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 237*a**2 + 0*a - 238*a**2 + 441*a**3 - a to the form g*a**3 + j*a + h + n*a**2 and give g.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275734071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-111800)\/1040\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19921, 19922, 19923, 19924?\nAnswer: 19925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*k + 172*k + 198*k.\nAnswer: 225*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.6. Let t = -0.1 - 8.9. Let z = t - -5. Which is the second smallest value? (a) 1 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 3*x + 7. Let m be c(4). Suppose 0 = m*p - 616 - 407. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -77. Let f be 4\/p + 7 + -14. Calculate the smallest common multiple of 26 and 6\/36*f*14\/(-3).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (-1 + -1) - (-974 + 982).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 27*a - 31*a. Let l(g) = -13*g**2. Determine l(m(d)).\nAnswer: -468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 + 37*l**4\/3 - 82*l**3 + 508*l**2\/3 - 344*l\/3.\nAnswer: l*(l - 2)**3*(l + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602 and 3216?\nAnswer: 968016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 1528525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i - 3*i**2 + (-2*i**2 + i**2 - 2*i**2)*(1 + 11 + 1) - 6 - 49*i**2 + 51*i**2 + 1.\nAnswer: -40*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = -6. Suppose a*m = -0*m. Suppose m*y + 5*y + 5 = 0. What is the nearest to 0.1 in -0.2, -2\/5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/((-8)\/144). Find the second derivative of -2*o + 4*o**2 - q*o**2 - 2*o**2 wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 11 = -5*y. Suppose -12 = y*u - 18. Suppose -g + 44 = 2*i - 2*g, u*g + 110 = 5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -45)*(-18 + 1). Let j = -373 - u. Suppose -4*y + 0*y + c = -j, 3*c = 5*y - 529. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -286*u**2*v**5 - u**2 + 27*u*v**2 + 2*v**2 wrt v?\nAnswer: -17160*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.465 take away -0.52?\nAnswer: -0.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21942468*l**3 - 31261*l - 384?\nAnswer: -131654808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = 217. Let y = a - -109. Solve -4 + 13 = -y*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 1. Let x = 22\/3 + -20\/3. Let m = -1237 - -1242. Sort x, m, f in decreasing order.\nAnswer: m, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20047 + 39750 = -6834*p - 61767 - 42452 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10156 - 10150. Solve a - 5*s = 3, 2*a + q - 12 = 9*s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 13 + 5. Let f(a) = -5*a + a**3 + 3 + w*a + 0 + 3 + a**2. Let k be f(0). Solve 0 = y - 3*y + k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, y: 1, r: 2, q: 2, o: 1}. Give prob of picking 1 c, 1 r, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsii when four letters picked without replacement from {h: 9, i: 2, s: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 155739362.\nAnswer: 622957448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/113 in 0.2, -124, 40, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - h + 48 + 3*h**2 + 30.\nAnswer: 3*h**2 - 9*h + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, v: 1, b: 11}. What is prob of picking 1 v and 1 b?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + g**4 - 2*g**4 + (-5*g**3 + 2*g**3 + 2*g**3)*(0 + g + 0) + (-3*g**2 + 3*g**2 + 2*g**2)*(64*g + 117*g - 15*g)*(-g + 6*g - 4*g).\nAnswer: 329*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 57819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 6*a - 5. Let m be b(7). Suppose m*d = -0*d + 10. Let r = d - -2. What is the remainder when 25 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 226221 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.7189 years in millennia?\nAnswer: 0.3097189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 134\/3. Sort i, -0.05, -2\/9 in descending order.\nAnswer: -0.05, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1709 + -11aa0?\nAnswer: -136a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -27*m - 16. Determine g(4).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 + 1036*q + 8757664\/9 = 0. Calculate q.\nAnswer: -3358, -1304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 386*z - 389*z + 3255. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 + -212. Which is smaller: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.17246 - 0.272366. Let q = -0.9 + j. What is q rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161 is divided by 463.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 32*g - 19. List the prime factors of q(12).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117542 - 115145 = -141*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2983, -5874, -8671, -11380, -14007?\nAnswer: -16558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0743*-127.\nAnswer: -9.4361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 82*j - 77*j - 3.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/114396 or 1?\nAnswer: -1\/114396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmmmmmmrrr. What is prob of picking 4 m?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/200)\/((-2)\/5)*150. Solve 31*l + f = 6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*t - 214*t - 38378 - 11642 = 0 for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 5 + 5 + 5*t - 1.\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 21 = -47. Let v(z) = -z**3 + 4*z**2 + 5. Let f be v(4). Suppose g = -2, -f*g + 50 = -3*r + 357. What is the remainder when r is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5460 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -8483\/4 smaller than -2121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/429)\/((-1)\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let l(s) = -1473*s**2. Determine c(l(n)).\nAnswer: 1473*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 766602 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/21 + 6)*-12. Suppose -3*r - 6 = -0*r, 2*v - r - 370 = 0. Let t = v + m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 + 6*a - 6. Let w be m(-5). Suppose -9*l - 125 = -26. Let n = l - w. Solve f - 5*x - 20 = n, -6 + 21 = -3*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116150585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.54 - 7.6. Let o = -0.0600001 - g. Round o to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjqyqjjjjjejqjej. Give prob of picking 1 j, 1 q, and 1 e.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -582 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -5)\/(-3 + (-72)\/(-20)). Suppose l = 2, -l = -n*u + 21 + 2. Let d = 0.03 - 0. What is the second smallest value in 1\/3, d, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (0 + (-3 + -31 - -12)) - (-14 + 13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 24 = 3*u, t - u = -362 + 370. Let b be (12\/(-9))\/((-2)\/(-9)). Let z = b - -9. Solve t = -z*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(165)\/(sqrt(55)\/sqrt(5)) + (sqrt(15) + sqrt(75)\/sqrt(5))*-1)\/((sqrt(180)*1 - sqrt(180)) + sqrt(180) + sqrt(50)\/(-1*sqrt(10))).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -15. Let u(t) = 0*t - 4*t + 6*t**2 + t**3 - 4*t - t - 9. What is the units digit of u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17169573 and 0.05.\nAnswer: 17169573.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17312, -34609, -51912, -69233, -86584?\nAnswer: -103977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2335414\/(-84) - (-1)\/3. Let o = z - -27836. Let k = o - 65\/2. Is 0 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 24 = -5*u, 3*k - u - 8 = -2*u. Solve 4 = -l - k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 107*c + 112*c + 120*c + 12*c**3 - 343*c as m + k*c**2 + f*c + v*c**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(7 + 114\/(-19))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1056856?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4631*b - 69. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353828 divided by -39?\nAnswer: 353828\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - (10 - 5) - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548719519?\nAnswer: 43, 53, 679561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.11. Let g(w) = -15*w**2 - 1084*w - 286. Let j be g(-72). Which is the closest to -1? (a) p (b) j (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 5*h**3 + 11616*h - 11616*h.\nAnswer: 5*h**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 125*x**3\/6 - 127*x**2\/2 - 108*x. Is q(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c - 40 = 42*c. Solve 5*q = -5*o - c, o + 10 = 3*q - 0*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 528 - 21119\/40. Let m(c) be the second derivative of s*c**5 + 0 - 1\/48*c**4 + 0*c**2 + 1\/120*c**6 - 1\/12*c**3 + 5*c. Determine g, given that m(g) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3 + 85192*u**2 - u + 899070 wrt u?\nAnswer: -6*u**2 + 170384*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 65 = -13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 734 = 254. Calculate the remainder when 286 is divided by a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by 234.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -l - 135, -3*l + 24 + 530 = 4*i. Let m = i + -139. What is the biggest value in m, 0.4, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 200. Let v = 293 - o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 186586389*c - 156574. Let m(p) = -7150*p + 6. Determine -6*k(r) - 156574*m(r).\nAnswer: -14234*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 441 = 455. Solve -i*f + 3*f = -3*r + 3, 0 = f + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:12 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 13. Let j = 5 - 4.5. Put j, t, 6 in ascending order.\nAnswer: t, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 88 = -28. Suppose -2*h + 5*u - 35 = 0, -6*h - 2*u = -h + 73. What is the remainder when -1*5*66\/h is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 3933.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**2. Suppose 51 = 5*l - 139. Let r = -36 + l. Let y(z) = -248 + 248 + 2*z**r. What is f(y(s))?\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from ccwccwwwccwwcwwcccww.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*1*6*4 + sqrt(1584)*-1*3*2)**2*-3.\nAnswer: -1539648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35677068048 - 5?\nAnswer: 35677068043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467754?\nAnswer: 2, 3, 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 - 4*g + 4. Let p be l(3). Suppose 5*j = 2*s - p, 0*j = -5*j + s - 22. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2352, 4776, 7204, 9636?\n\"Answer: 2*h**2 + 2418*h - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = 4. Suppose -5*i = -0*g + 3*g - 25, -i = 5*g - 27. What is the third derivative of 0*r**2 + r**w - 3*r**2 - 4*r**g + 5*r**2 wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*w + 4*n, -2*w - 4*n = -5*w - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 324*s - 4.\nAnswer: -324*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -107*t**9\/126 + 421*t**5\/60 + 882*t**2. What is the third derivative of q(u) wrt u?\nAnswer: -51360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4926957 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -666 smaller than -608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**3 + 7*v**2 + 4*v**3 + 4*v**2 wrt v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -53 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 times 0.313?\nAnswer: 20.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 + 0*w**2 - 4*w**2)*(42 + 3*w - 117 - 7).\nAnswer: 3*w**3 - 82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*b = 5 + 4, -3*b = -9. Does 9 divide (r + -19)*(-1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.64 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l + 4*l**2 - 5*l**2 - 9*l + 7*l + 15. Let g be c(-14). Suppose g*p - 28 = 11*p. Let t(f) = f**2 - 9*f + 10. Give t(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.501 + -5.801. Let n = -48\/13 + 323\/91. Put 1\/4, n, r, -7 in descending order.\nAnswer: 1\/4, n, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 144, 191, 238, 285, 332?\n\"Answer: 47*d + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69.1 - 69. Let k = -30.022 + 30. Does p = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -34. Let p = -5 + h. Sort -3, p, 1 in decreasing order.\nAnswer: p, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-568 + 568 + 45*o)*(-5 + 5 + o) in the form z + t*o + m*o**2 and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -310444, -621132, -931820, -1242508, -1553196, -1863884?\n\"Answer: -310688*q + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 2)*(11*v + 11 + 9*v - 18*v) in the form p*v + c and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 553525 - 2?\nAnswer: 553523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10750550 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -39 + 47 - -36?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - (-4 - (-7 - 1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17697 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 13*x - 10. Let i be l(6). Let u be 0 + 2 + (-2)\/2. Put -1, u, i in descending order.\nAnswer: u, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 700*b**2 - 80 + 40 to d*b + w*b**2 + q and give w.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-3 + (-442)\/(-146)) is divided by (38 - 1)*(-9 + 5)\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-118) + (-53677989)\/725877?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282\/11 >= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.7 + -29.11. Let d = o + 1.21. Which is greater: d or -34?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101.41 - -100.41. Which is the third biggest value? (a) -2 (b) u (c) -1812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76\/6*(-54)\/(-36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 + 3140*q + 4*q**3 - 54*q**4 - 305818*q**2 + 305818*q**2 wrt q.\nAnswer: -20*q**3 - 648*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350254687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 2?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319481965 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4268?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s + 4*s - 273. Let b(w) = w**2 - 21*w + 8. Let y be b(s). Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 40, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 0 - 2*f + f - 9. Let l(b) = 6*b + 44. Let y(r) = 2*l(r) + 11*m(r). Give y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142182 or 2132728\/15?\nAnswer: 142182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b. Let o(h) = -2*h**2 - 2*h - 13998. Calculate o(w(u)).\nAnswer: -72*u**2 + 12*u - 13998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 589956.1299982 - 589956. Let k = 0.13 - q. Round k to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 4:08 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/6 - 95*x\/6 + 40.\nAnswer: 5*(x - 16)*(x - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30688, 30694, 30702, 30712, 30724, 30738?\nAnswer: 30754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22605 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-2)*2\/(-12). Let v(b) = b**3 + 9*b**2 - 18*b + 36. Let q be v(-11). Let t be q\/16 - (-47)\/10 - 4. Put p, t, 7 in increasing order.\nAnswer: t, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5700634?\nAnswer: 2, 2850317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29449525 and 98469.\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = u - 2*l, 0 = -4*l + 20. Suppose -u*x + 25 + 443 = 0. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-23780425161\nAnswer: -23780425161.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 1. Let a(r) be the third derivative of -r**4\/24 - r**3\/6 + 6*r**2. Give -a(z) - 2*f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11 - 15*g**3 - 8*g + 23*g**3 + 10*g**2 - 4*g**3 - 5*g**3. Give b(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 672*g**2.\nAnswer: 3*g**2*(g + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 4. Let g(i) be the second derivative of 5*i**3\/3 - 193*i**2\/2 - 39*i. Let a be g(19). Determine c(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 1558.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 8*t**2 + 142*t - 11. Let w be f(-17). Let g = 26 - 4. Calculate the greatest common divisor of g and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104666*o**2 + 221839*o wrt o?\nAnswer: 209332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18423163?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h = 328 - 416 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 474*x + 90. Let t = -177 + 167. Let f be g(t). What is f rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/7)\/((u*u*u\/u**(-1\/8))\/u) assuming u is positive.\nAnswer: u**(-159\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 0*m + m + 2 - 2 - m + (-2*m + 2 - 2)*(-1 - 1 + 3) + m - 12*m + m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*r**3 - 9*r**3 - 9*r**3 + (7*r**3 + 4*r**3 + 5*r**3)*(-2 - 3 + 3) - 2*r**2 + 2*r**3 + 2*r**2.\nAnswer: -69*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + -0.51. What is the smallest value in 1, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7897920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 4 - 4)*(3 - 45 + 8)*(-1 - 1 + 0)*(-282*k + 916 - 916) to l + y*k**2 + g*k and give y.\nAnswer: 19176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 3\/5 (c) 2 (d) 4 (e) 1\/2821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.8, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.0569 + 2.\nAnswer: -0.0569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 5*m**4\/12 + 2*m**3\/3 + 8*m**2. What is the derivative of z(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099?\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 222934390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 824 and 11334326?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1858 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 3*50 - -2*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -1697, -4801, -10517, -19637, -32953, -51257?\nAnswer: -75341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/13 - 670*d\/13.\nAnswer: 2*d*(d - 335)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, h: 5}. What is prob of picking 2 r?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -7757\nAnswer: 69813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g + 33*g + 3*g)*(g**3 + 0*g**3 - 2*g**3) + 0*g**4 + 3*g**4 - 5*g**4 + (-7 - 4*g**2 + 7)*(-8*g + 5*g**2 + 8*g).\nAnswer: -42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-195)\/15 + 115)*2\/6. Suppose -33*x + j*x = -10950000. Round x to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 12577*o**2 - 14*o + 12*o - 4741*o**2.\nAnswer: 7836*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 5*z. Let g(a) = -a**2 + 5*a - 3. Let b be g(3). Let t = b + 0. Suppose 4*y + 2*l + 20 = 0, -3*y - 2*l - 15 = t*l. What is n(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-4)\/(sqrt(22)\/(sqrt(22)\/sqrt(2))))\/(1*(sqrt(12) - sqrt(3))*-4*1).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1351969598875.26 - 0.5.\nAnswer: -1351969598875.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 - 12*g + 7. Determine u(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7 - -4) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*g**3\/5 + 952941*g**2\/5 + 732337464*g + 11811845.\nAnswer: (g + 7685)**2*(62*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from ndadmtccddma?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 18*x + 12. What is the remainder when j(-19) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*p**3 + 6*p**2 + 72*p**3 - 2 - 143*p**3 - 2*p)*((3 + 1 + 3)*(1 + 2 - 5) - 2 + 6 - 2 - 1 + 3 - 1 + (0 - 3 + 5)*(-1 + 2 - 3) + 2 + 1 - 4).\nAnswer: -48*p**3 - 96*p**2 + 32*p + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-52)\/(-12))\/13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -45. Suppose 0 = -k - 4, -p - v*k = -3*k - 91. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, u: 1, p: 2, n: 2, b: 1}. What is prob of sequence nub?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 17 = -3. Suppose -5*x + 2*w - 578 = 0, -2*x - x + 5*w = 343. Is (-1)\/i - x\/20 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1150 divide 9481034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 3204037?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzr when four letters picked without replacement from zrrrrzrrzzzzz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + sqrt(425) - sqrt(425))*4 + (sqrt(17) + -6*(sqrt(17) - (4 + sqrt(17))) - (sqrt(17) - (-3 + sqrt(170)\/sqrt(10)))))**2.\nAnswer: 60*sqrt(17) + 917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 2*l)*(-2*l - 2*l + 20*l)*(0*l**3 + 2*l**3 + 3*l**3) + (-2 - l + 2)*(-2*l + 2*l + l**4) + 13*l**2 - l**5 - l**5 - 9*l**2.\nAnswer: 77*l**5 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z + 754 = 13*z - 446 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 + 3*l**4\/8 - l**3 - 7*l**2 + 9*l. Let x(d) be the first derivative of q(d). Factor x(r).\nAnswer: -3*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3344422 (base 5) in base 12?\nAnswer: 2a42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0376 in -90, -1\/4, 1\/2, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q + 0*q)*(3 - 3 - 1)*(58 - 80 - 91).\nAnswer: -226*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1013, 1\/11, -2, -0.3, -0.15?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 930*p**2 - 150*p - 75. Let v(h) = 49*h**2 - 8*h - 4. Let o(j) = 4*k(j) - 75*v(j). Let n(t) = -3*t. Give o(n(u)).\nAnswer: 405*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2762*l**6 + 149600*l**5 - 5567*l**2 - 24999*l?\nAnswer: 331440*l**3 + 8976000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 2*n**2 + n**2)*(-5 + 4 + 2 - 7 + 2 + 2 + 0 - 2 + 0 + 3 - 2 + 1 + (-4 - 1 + 4)*(2 + 2 - 3) + 0 + 1 + 1 + 5 - 3 - 4)*(2 - 2*n**3 + n - 2).\nAnswer: 18*n**5 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4 + 4*h**3 - 34*h**2 - 7102.\nAnswer: -12*h**3 + 12*h**2 - 68*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/68 - ((-2898)\/510 + 5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-477)\/(-212)*-12*8\/234?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (11 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21433 - 20613. Calculate the highest common factor of 1780 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 12*j + 10. Let k be t(17). Calculate the common denominator of 1084\/144 - 10\/(-45) and 9\/(-6)*k\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5*g)\/(g\/(g*g*g**(4\/5)*g*g))*(g**0)**(2\/15))**(21\/4) assuming g is positive.\nAnswer: g**(1029\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 8:30 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 359\/2 - 2519\/14. Suppose 2*f - 6 = -2*u, u = 4*u - 5*f + 15. What is the closest to p in u, -4, 1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 - -4) - (2 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99688673.7us to weeks.\nAnswer: 0.00016482915625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 3 + 3*k**2 - 2\/3*k**3 - 4*k. Solve n(y) = 0 for y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11, -7, -83, -247, -529, -959, -1567?\n\"Answer: -5*u**3 + u**2 + 14*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0312774 and 3.4.\nAnswer: 0.10634316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44191?\nAnswer: 7, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2290\/(-4809)*(-2989)\/183.\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3\/4, -38.9, 2\/11, -5 in ascending order.\nAnswer: -38.9, -5, -2\/9, 2\/11, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1344, -2694, -4058, -5442, -6852?\nAnswer: -8294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135508 rounded to four dps?\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**4 + 7\/2*l**3 + 4\/5*l**5 + 0 + 0*l**2 - 16*l. What is the second derivative of m(c) wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -64. Let g = -5 - -7. Suppose 0*a = a - g*z - 12, 5*z = -4*a + q. Solve 0 = -4*v - 5*k - 27 - 8, -2*k = 2*v + a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30 + 6 + 8 + 13. Let c(w) = 3*w + 3*w**2 + 0*w**2 + 2 + w**2 + w**3. Give c(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/3))**31*(q**(-1\/4)\/q)**(-4\/11) assuming q is positive.\nAnswer: q**(1379\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -121*t**2 + 4*t + 1. Let y(i) = -366*i**2 + 11*i + 3. Determine 17*o(c) - 6*y(c).\nAnswer: 139*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206442 divided by 6.\nAnswer: -34407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h. Let l(o) = 8*o - 229 + 134 + 116 + 7*o. Let z be ((-105)\/(-20))\/(2\/(-8)). Let r(w) = -3*w - 4. Let u(i) = z*r(i) - 4*l(i). Give u(p(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90976 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:23 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Let x be 1\/3 + (-5)\/(-3). Suppose 2*r - x = r. Let q(i) = -i**r - i + i. Determine p(q(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -13, -6, 1, 8?\n\"Answer: 7*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s - 21*s = 1400. Which is the closest to -1? (a) 2 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - 1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -22697.1935 to the nearest 10.\nAnswer: -22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 2, h: 1, j: 2, l: 1}. What is prob of sequence jlca?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.99 + -0.01. Let d = -0.68361 + -0.13639. Which is the third smallest value? (a) 0.5 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -30*t**3 - t**2 + 2*t + 3. Suppose 5*a + r = 3*r + 3, -3*a + 9 = -3*r. Let l be z(a). Solve n + 25 = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**3 - 2*i**3 + i**3)*(-3*i + 3*i - 2*i) + (-2*i**4 + 5*i**4 - i**4)*(5 + 0 + 0) + (-18*i - 23*i + 27*i)*(0*i**3 + i**3 - 3*i**3).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8180 and 12?\nAnswer: 24540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(242) + 5)**2.\nAnswer: 198*sqrt(2) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let i(a) = -24*a - 2. Determine -3*d(j) + i(j).\nAnswer: -27*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**8\/10080 - d**7\/1260 - d**6\/360 - d**5\/15 - 3*d**2. Let x(k) be the third derivative of f(k). Factor x(p).\nAnswer: -2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose 0 = -o + 4*t + 23, 10*t = k*o + 5*t - 43. Calculate the highest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/11 + 4*m**2 - 610*m\/11 - 3900\/11 = 0.\nAnswer: -30, -5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + 0.5. Let d = 11.3 + -9.8. Let l = d - 1.2. Sort l, 0.1, q.\nAnswer: q, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 8502*k + 698791. Calculate i(83).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*b - 279 - 13. Let i(x) = 36*x - 1. Let g be i(6). Suppose -b*h + 37 + g = 0. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 4*l + 22. Let n(z) = z - 4. Determine -5*n(w) - p(w).\nAnswer: -3*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2321324 divided by 580331?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/33 (b) -3\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1487 to three dps.\nAnswer: -0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 9 (b) -0.2657 (c) 0 (d) 4 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -1.28239+-4987740784\nAnswer: -4987740785.28239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 230*i + 7 - 20 - 151*i - 19.\nAnswer: -381*i - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -138098907\/16 - -8635135. Let r = 3957 - n. Find the common denominator of -51\/154 and r.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1687 divide 70789894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:46 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30909 is divided by 281.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2242957, -2242958, -2242959, -2242960, -2242961?\n\"Answer: -b - 2242956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-477)\/(-795)*5\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2413017 is divided by 2091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 8*z**2 - z - 5. Let s(i) = -2*i**3 + 16*i**2 + i + 11. Suppose 2*l - 14*l = -36. Let d(o) = l*s(o) + 5*y(o). Calculate d(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6365, 6366, 6367, 6368?\n\"Answer: s + 6364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 - 122 = 3*a - 4*j, 0 = -j - 1. Is ((-3)\/(-6))\/((-1)\/a) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52\/1501 in -0.5, 0.3, -1\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*j - 3, -2*j + j - 1 = 2*r. Let t be 0 - (1*r)\/(-2). Let u = t + 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 3}. Give prob of sequence pe.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -27*j**3 + j**2 + j + 1. Let d be c(-1). Let i = -34 - -37. Suppose 2*h - 14 = -2*o, -h + d = i*h + o. What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 - 5*s + 2. Let p be g(-2). Suppose p = 3*v - 139 - 11. Let j = -46 + v. Solve -10 = 2*r - 4*b, b + 0 = j*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -1\/2*r**4 + 0*r**3 + 0*r + 0*r**2 - 12 - 2\/5*r**5. Factor w(d).\nAnswer: -2*d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 9*m - 261. Suppose 5 = -g, 4194 = h + 5*g + m. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - 550?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -9)\/(2\/(-34)). Let t = 8 - h. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-17\/6)*w**(1\/8)*(w**(-2\/13)*w)\/w assuming w is positive.\nAnswer: w**(-115\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4270212 + 124?\nAnswer: 4270336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -16 - 173. Let d = v - 34. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 5:28 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 2627.88.\nAnswer: -2627.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6705.6 + 0.\nAnswer: -6705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(90\/162*(-2)\/(-10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 at most as big as -82372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.811 and -0.066258.\nAnswer: -0.053735238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + x**2 - 16*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1.6 (c) -3\/8 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 51. Let y = -8222456 + 8222387.00079. Let o = y + z. What is o rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**5\/20 - 5*y**4\/6 + y**3 - 20*y**2 - 10*y. Let k be t(10). Solve 3*z - 7*z + k = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3255000 to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1927273?\nAnswer: -4\/1927273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 956*i**7\/105 - 347*i**3\/2 + 51*i**2 - 3. Find the first derivative of t(j) wrt j.\nAnswer: 7648*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5336, 22811, 51928, 92693, 145112, 209191?\nAnswer: 284936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2321 = 2*h + 7*n, 2*n + 5850 = 5*h. What is h rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 2*x + 9*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7509662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 + 4*x**2 - 2*x - 5. Let n be m(8). Solve -5*t - 15 + 40 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + 3*s)*(0*s + 0*s + s + (-s + 2*s - 2*s)*(0 + 1 - 3) + 13*s + 47 - 47)*(-1 + 2 + 0).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5824 equal to -5824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42113 (base 6) to base 10\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 13139*h + 92022. Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1016 + -1?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/4 - i**4 - i**3\/4 + 4*i**2 - 3*i = 0?\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -7*i**3\/10 - 514*i**2 - 944291*i\/10 - 134689\/5 = 0.\nAnswer: -367, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130835)\/2192)\/((-5)\/(-4)) + 22\/8.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 12*a - 32. Let w be f(6). What is the closest to 0.1 in w, 0.6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 7*b**2 - 4*b + 6. Calculate s(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 + -252. Suppose -135 = -x*q - 0*m - m, -213 = -3*q - 5*m. What is the remainder when q is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209570\/3 bigger than 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3610, -3659, -3726, -3817, -3938, -4095, -4294, -4541?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:56 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4732965302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1880.283 from 1.9.\nAnswer: 1882.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*b + 2616 = 391*b + 570. Let 24\/7*r**2 - 40\/7 - 12\/7*r - 4\/7*r**b = 0. Calculate r.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(7)*4 - 2*(sqrt(13) - (-3 + sqrt(13))))**2.\nAnswer: -48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 247*w**2 + 278*w - 7585. Determine n(248).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3)\/((-1)\/2). Let k = 5 + -3. Suppose -3*s = k*s - u*m - 190, -3*s + 88 = 4*m. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**0\/m)))**(1\/24)\/(m*m**1*m\/m**(2\/7)) assuming m is positive.\nAnswer: m**(-463\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*g - 5*d, 5*d - 1 = g + 9. Suppose 0 = -g*o - 5*n + 165, o = 3*o - 4*n - 54. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290937*j**2*u**3 + 75*j*u + 3*u**3 + u + 76 wrt j.\nAnswer: 581874*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/742? (a) -5 (b) -5\/4 (c) 1281\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 + 473*x**4 - 9847*x**3 - 33825*x**2 = 0.\nAnswer: -3, 0, 25, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 2. Suppose -2*m - 6 = -0*m. Let h be i(m). Solve -5 = -2*v + h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = 5*s, 2*n + 6 = -5*s + 17. Suppose -u + 134*k = 138*k + 13, 5*u - 19 = k. What is the remainder when u is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n. Calculate the remainder when 59 is divided by c(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 1952*v - 2. Let a(z) = -817*z. Calculate m(a(i)).\nAnswer: 1334978*i**2 + 1594784*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 505 - 472. What is the nearest to 1 in 0, -2\/13, 4, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19738*x - 1 = 19739*x + 4*p, -3*p - 6 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 5:39 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, -2452, -10816, -27102, -53950, -94000, -149892?\nAnswer: -224266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 3306.7?\nAnswer: 3306.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or -7630.9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 689*c - 95736. Calculate w(141).\nAnswer: 1413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*b + 15, 5*n + 5*b - 6 = 19. Suppose 0 = -2*x - 2*j, j - 7 = -2*x - 3. Factor 0 + n*u**2 + 0*u - 3\/4*u**5 + 0*u**3 + 3\/4*u**x.\nAnswer: -3*u**4*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -622716?\nAnswer: -622711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203323223 - -1?\nAnswer: 203323230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109568?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 158, 122, 50, -70, -250, -502, -838?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 20*o = 81. Suppose b - 106 = -g, o*g + 530 = -0*b + 5*b. Calculate the smallest common multiple of b and 16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 10 - 15*u**2 - 29*u + 5*u**3 + 20*u + 6*u**4 - 16*u.\nAnswer: 5*(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.28231 rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 = -g - 13, 3*g - 4*i = 0. Let a(n) = 6 + n**3 - 3*n**2 - 3 - 5*n + 0. Give a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78393264 is divided by 3135730.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 7*a**3\/5 - 83*a**2\/5 + 241*a\/5 - 33 = 0.\nAnswer: 1, 3, 55\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-3))\/(184\/(-552))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 124?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32984, 66041, 99104, 132173, 165248, 198329?\nAnswer: 231416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 4*s + 9, 0 = -4*f - 373*s + 369*s + 154 - 166 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {i: 5, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*s = -7 - 12, -z = 4*s + 17. Let d(n) = -6*n + 13. Determine d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416079817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8362 + -8361.5. Which is the closest to 0.3? (a) 5 (b) -9 (c) -2\/9 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479 >= 1670480\/373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (sqrt(208)*-3*-4 - sqrt(208)) + (sqrt(208) + -3 + sqrt(208) + -1 - sqrt(208)))**2*6.\nAnswer: 179717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 7*p**5\/30 - p**4\/8 - p**3\/3 - 10*p**2. What are the prime factors of k(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 14*z**3 - 201*z**2 + 792*z - 972.\nAnswer: (z - 6)*(z - 3)**2*(z + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o + 1697 = 365. Solve 3*f + 5*h + 24 = 0, 4*h + o = -2*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 235.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -106\/7, -3, -349, 1\/3, -2\/35 in decreasing order.\nAnswer: 1\/3, -2\/35, -3, -106\/7, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454 is divided by 1111?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2 + 5. Suppose 2*c + v = -3. Let h(x) = -x**2 - 214*x + 8997. Let n be h(36). Sort -1, c, n in decreasing order.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0027833212 rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8243797.\nAnswer: 277, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -185. Suppose -v - t = 0, v + 19 = 6*u - 3*u. Solve -5 = u*h - 5*d, -5*h - 5*d + d - 32 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 6*v**3 + 0*v**3 + v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002786788845 to 5 decimal places.\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-21))\/(1\/((-4)\/(-6))*(-314)\/(-7065))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202205 (base 7) to base 16.\nAnswer: 251f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 7*u - u. What is the second biggest value in 1\/4, 17, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/(w\/((w*w*w**1)\/w*w))*w))**28)**(-15\/7) assuming w is positive.\nAnswer: w**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 305.\nAnswer: -7, -4, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 397 + -401. Let y be (-24)\/16*(h - -2). Factor -1\/3*u**y - 1\/9*u**2 + 1\/3*u + 1\/9.\nAnswer: -(u - 1)*(u + 1)*(3*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581594004?\nAnswer: 2, 3, 17, 55901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 0.3. Let l be (-2)\/(-4)*9\/(-18). What is the closest to l in -4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:15 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168039 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 11)*(v**4 + 4*v**2 - 4*v**2)*(116 - 44 + 69).\nAnswer: 1833*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 16*q = 3230. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7839761 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p + 24 = 0. Let r(f) = f**3 + 6*f**2 - 8*f. Let h be r(p). Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4 + 54*t**3 + 15*t**2 - 2232*t + 2160 = 0.\nAnswer: -12, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from lkklkbabhabk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12154808*f**2*q**2 - 323*f**2*q - 2*f**2 + 3261*f + 14*q**2 + 73*q - 1 wrt q.\nAnswer: -24309616*f**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073010064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 58, -1, -7, 0 in decreasing order.\nAnswer: 58, 2, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12656 - 0.1256\nAnswer: -12656.1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4321 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z + 648 - 158. Suppose 4*h - 80 = -0*h + 2*j, -h = 3*j - 13. What is the remainder when z is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 134492788*y + 2261038753001618 = 0. Calculate y.\nAnswer: 33623197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2958 + 3046. What is the remainder when 612 is divided by k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 38*4\/24. Which is the closest to -0.04? (a) 3 (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 302859.414448.\nAnswer: 302862.414448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 672*k**2 - 29 - 1125*k**2 + 775*k**2 + 29.\nAnswer: 322*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/15 + (-4)\/(-10). Suppose 0 = -3*r - 3*g + 18, 4*r - r = 4*g - 10. Find the third derivative of -j**r + 5*j**p + j**6 + j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = 0, 2*o + 3*d = -d - 104. Let y = o - -100. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**8\/1008 - h**7\/315 + h**6\/360 - 10*h**2. Factor u(j).\nAnswer: j**3*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82\/177 + -21457\/23010. Find the common denominator of f and -93\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 35*g - 3388. Give t(97).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/10*(-7 - -2). Suppose 41 = 5*j + 1. What is the remainder when j is divided by (-70)\/(-10)*(-6)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Suppose -227 = -14*n - 157. Put n, r, -5, 2 in decreasing order.\nAnswer: n, 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c + 4. Let q be (-1*1)\/((-8)\/16). Let f = q + c. Solve 3*l = -5*a - f + 2, -3*a + 2*l - 7 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) 6 (d) 0.25 (e) 0.2 (f) 75\/2 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(96) - sqrt(96))\/(sqrt(128)*-1))\/((sqrt(196) - (sqrt(196)*1 + sqrt(196) - sqrt(196))) + (sqrt(308)\/sqrt(7))\/sqrt(11)).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/6639, -14\/15, 0.039 in ascending order.\nAnswer: -14\/15, -2\/6639, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v - v**2 to the form y + m*v + t*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/11581620 and 28\/4757.\nAnswer: 822295020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/18 - 5*i**2\/6 + 25*i\/6 - 23. Solve b(s) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2 - (-34 + -18). Suppose 39 = 5*m - d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4459, 17567, 39413, 69997, 109319?\n\"Answer: 4369*o**2 + o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 - 3046?\nAnswer: -3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.96 in 120, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 234?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 2*g - 487, 0 = -2*g + 8. Let d = 209 - y. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4584)\/2865*10\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65 by -783199.\nAnswer: 65\/783199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17000 - 9792. Suppose -2*g + 2*c = -5*g + n, -2*g + 4804 = c. Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*((-12)\/(-3))\/8.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p - 21*p - 36*p + (-2*p + 4*p - 4*p)*(-1 + 4 - 2) - p + 2*p - 2*p - 1703*p + 811*p + 858*p to r + w*p and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - (6 - (6 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/2, -2\/3, -248, -75, 0 in descending order.\nAnswer: 1\/2, 0, -2\/3, -3, -75, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*h - 212*h - 266*h to z + p*h and give p.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.782 + -0.218. Sort i, 3, 12, 0.2.\nAnswer: i, 0.2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -7, 0 in increasing order.\nAnswer: -8, -7, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670, 2678, 6034, 10744, 16814, 24250?\nAnswer: 33058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:26 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10599*o - 2654*o - 2628*o - 2637*o - 2656*o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from llglgllllllllllllg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*i**4 + 27*i**4 + 4*i**5 + 2*i**5 + 3*i**3 - 3*i**3 + (-4*i - 4*i + 4*i)*(0*i**3 + 0*i**3 + i**4) + i**5 + i**5 - 5*i**5 - 3*i**5 + 3*i**3 - 3*i**3.\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:30 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzgz when four letters picked without replacement from {g: 8, z: 1, h: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2. Let c be (-1 - 1)*6\/(-4). What is p(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 36.71. Let o = l + 0.13. Let z = 3.84 - o. Sort -13, z, 0.1.\nAnswer: -13, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 5) to base 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -23?\nAnswer: 108.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1245 divided by 3?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)*i*i**(-5)*i*(i\/((i*i**(-4))\/i*i)*i)\/(i**(-2\/7)\/i) assuming i is positive.\nAnswer: i**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 + v. Let z(b) = -b**2 + 2. Determine h(z(s)).\nAnswer: 7*s**4 - 29*s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 2 = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 4441*f**5 + 4773*f + 2*f**2 - 9664*f + 4838*f wrt f?\nAnswer: 266460*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, -181.\nAnswer: -181, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*x + 3*o, 11*x = -2*o + 383 - 405 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.74 - 0.8. Let i = -1.2 - -0.5. Let y = q + i. What is y rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*s = 415*s - 10. Let v(z) = z**2 + 3*z. Let l be v(3). Let q be (-4)\/(s + l)*-4. Put 3, q, 5 in increasing order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562346400 divided by 6\nAnswer: -93724400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -191722170.9 to the nearest 100000.\nAnswer: -191700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 51 = 6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21856 and 744.\nAnswer: 16260864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 19\/4, -1.35, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1, 2\/11, 3\/5, 88, -5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 80, 131, 200, 293, 416, 575, 776?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 35)\/(5 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10799 - -518411\/48. Suppose 24 = -2*c + 6*c. Find the common denominator of w and (3*4\/(-180))\/(c\/(-9)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k - 3. Let f(z) = 0 + 4 + z - 1 - 2. Let v be f(-3). What is the remainder when c(v) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -28. Let n = 496 - 510. Which is the smallest value? (a) -2\/5 (b) n (c) m (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 divided by -18?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/25)\/((-3)\/(-30)). Let v be (-4)\/x + ((-7)\/12)\/7. Let u = 3 + -2.5. What is the smallest value in u, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 12*k + 24 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1376 divide 1227689216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 42374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) + -2*sqrt(190))*-1)\/(sqrt(10) + sqrt(120)\/(-2*sqrt(12))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024023 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1942692 less than -3?\nAnswer: 1942689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9375206*m**4 - 12*m**3 - 6*m**2 - 1730625*m - 10?\nAnswer: -225004944*m - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -1\/2 (c) -2\/7 (d) 5115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.1 - 16. Let f be 1\/(-3) + (-1 - -1). What is the nearest to 1 in f, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v**3 + 2*v**3 - 10*v**3 - v**3 + 7*v**3 + 1 + 46*v**2. Determine l(23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0145377266 to seven dps.\nAnswer: -0.0145377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 3. Let t be k(2). Let z(i) = -i**2 - 2*i. Let x be z(-2). Suppose w - 1 = x, -j - 1 = -4*w + 4. Is t less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 17889314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(495) + sqrt(495))\/sqrt(9)*-3)\/((sqrt(360) - sqrt(360)*4)\/sqrt(8)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -12. Let m = 7 + p. Let g = m - 2.1. What is the second biggest value in 5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 - -1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 88. Suppose j*b = 11 - 1. Solve 0 = -4*c - 3 - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffdff. What is prob of picking 1 f and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.177783ug in grams?\nAnswer: 0.000005177783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-5))\/(-1*(-12)\/(-30)). Let f(x) = -x**m + 18*x**2 - 8*x**2 - 6*x**2. Let p(l) = 12*l + 1. Give p(f(o)).\nAnswer: 36*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/28)\/(2\/98)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + g**2 + g + 3. Let a(c) = -4*c + 15. Let f be a(6). Let q = f - -9. Calculate s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 2. Let g(k) = -2*k + 2. Let t(d) = -13 - 25 - 22 + 6*d + 52. Let r(b) = 4*g(b) + t(b). Determine r(m(y)).\nAnswer: 6*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 577, 25, 0?\nAnswer: 577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.053 + -39.947. Which is smaller: -1\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1584))*-2 - (sqrt(1584) + -1*sqrt(1584) + 2)) + -5 + -2.\nAnswer: -24*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -1 (b) 3.6 (c) 0.4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*n - 49184 = 104*n for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, 2\/7, 2\/9, -10, -0.06, -20\/3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276220 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16 - 14 - 3*x**2 + 0*x**2. Let b(t) = 4*t**2 + t - 2. Suppose -2*a = k - 1, 3*a - 2 = -4*k - 13. Give a*y(n) + 2*b(n).\nAnswer: -n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000083 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (219\/7)\/((-132)\/418*(-608)\/448)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68.8 + -62.74. Let f = 6.7 - l. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -504, -0.2, -2422?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 29*y - 1448 = 0. Suppose -5*o + y = -4*q, 5*o + q - 157 = -q. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {h: 5, o: 2, e: 1, k: 6, p: 1, d: 1}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31678.1 millilitres in litres?\nAnswer: 31.6781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -0.3 (c) 0.2008 (d) -3 (e) 5 (f) -0.046\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1545)\/(-103))\/(2\/2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (4 + -1 - 1 - (22 + -35 + 3))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22953929*c**4 + 8*c**3 - 94536788.\nAnswer: -91815716*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 503075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - -1*(-2 - 7). Suppose -13 - 2 = -b. Let u be y\/10 + 39\/b. Calculate the highest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let m(t) = -c*t**2 - 7*t + 8*t + 4*t - 2 - 3. Let g(j) = -4*j - 3. Let l be g(-2). Let z(s) = 10*s**2 - 16*s + 16. Determine l*z(w) + 16*m(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + 5*sqrt(162) - (sqrt(162)*1 + -1)) + 0.\nAnswer: 11 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 13. What is the remainder when 13 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54\/11? (a) -2\/3 (b) 3 (c) -0.1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -6.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, p: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81254 (base 10) to base 2.\nAnswer: 10011110101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.943 - 2.643. Let k be -1*(0 + 1 + -2). What is the second biggest value in 4, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**8\/560 + 5*x**4\/24 - 2*x**3\/3 + 1. Let f(l) be the third derivative of a(l). What is the first derivative of f(b) wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -14\/9*h**6 + 0*h - 26\/3*h**4 + 32\/9*h**3 + 91 + 0*h**2 + 20\/3*h**5. Suppose v(c) = 0. Calculate c.\nAnswer: 0, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - p - 1. Let c(k) = -12*k**2 + 6*k - 14. Let r(z) = -c(z) + 10*l(z). Let g be r(8). Put g, 0, 1 in decreasing order.\nAnswer: g, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189258.59 rounded to the nearest 100?\nAnswer: 1189300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 3*r - 7452*r**3 - 48490*r**2 - 48504*r**2 + 96993*r**2.\nAnswer: -7452*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let k(v) = -v**2 + 14*v + 5. Let r be k(14). Suppose 4*s + 8 = 0, 3*s - r - 5 = 4*b. Give c(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i - 41. Let g be j(5). Suppose 28 = 2*z - 5*h, 4*z - g = 6*h - 7*h. Solve -7 = -r - z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t - 3*t + 2*t)*(-4 + 2 + 4) - 2*t - 4*t + 3*t)*(-4*t + 21*t + 60*t + 20*t).\nAnswer: -97*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35261\/6 + 5833. Let m = u + 44. What is the smallest value in -1\/2, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36014 (base 12) to base 11.\nAnswer: -4a5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 368*x - 27. Let r(o) = -o + 3. What is -2*a(s) - 18*r(s)?\nAnswer: -718*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90575510*m**2 + 162647030*m wrt m?\nAnswer: 181151020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a (base 11) to base 4.\nAnswer: -21213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/10 - 14*k**2\/5 + 2971*k\/10 - 2911\/5 = 0?\nAnswer: -71, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -444*h - 57. Let i be w(-3). Calculate the highest common factor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 7. Suppose 0 = o + z - 8. Let 2*r - r**4 - r - 2*r**3 + 2*r**3 + r**2 - r**o = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/8 + ((-34)\/8 - -2) and ((-756)\/16 - 3)\/(-19) + 112\/1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1203732.759998 + -1203734. Let z = n + 1.24. Round z to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2680*x + 5. Let u be p(-2). Let d = -10345 + u. Round d to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81031 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2362, -9462, -21296, -37864?\n\"Answer: -2367*d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -5*w - 3*k, 26*w - k = 25*w + 36. Calculate the remainder when 0 + 115*1 + -1 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -545 - -554. What is the smallest common multiple of i and (-1)\/(-4) + (-38)\/(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2205 - 1309. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - f - f)*(1 + 4 - 4) + f - f + 2*f - 8144 - 10446 + f + 9608 to the form g + w*f and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, -89 in increasing order.\nAnswer: -89, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 257.\nAnswer: -256.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0 + 4*m - 5 - 5 + 16. Let f(z) = 3*z + 5. Calculate 6*a(k) - 7*f(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p - 8 + 8)*(-p + p**3 + p)*(5 + 4 + 6) to n*p + v*p**3 + k*p**2 + q + r*p**4 and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19112 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43142, -43147, -43156, -43169?\nAnswer: -43186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -1728 - 1368. Suppose q = 3*z + 3*o, -2*o - 336 = -2*z - 0*z. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/21)\/(g*g**(-6)\/g))\/(g**11\/g*g*g*g\/g**(-8)*g) assuming g is positive.\nAnswer: g**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*-1*1. Suppose 2*w = -2*g - t + 17, 0 = 2*w + 3*g - 19. Solve w*f - 3*n + 23 = n, 5*f + 17 = n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 412 and 177.5378.\nAnswer: 73145.5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716\/9506*(-63)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-31 - 29) + 19 - (1 - -33).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19699\/8 - -59129\/24. Factor 2\/9*m**4 + 34\/9*m**2 + 14\/9*m**3 + 34\/9*m + z.\nAnswer: 2*(m + 1)**2*(m + 2)*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, -0.2, 2\/3, 33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 8:48 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3.4, -12, -1, -115?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:42 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*d + 87, 245*w + 111 = 5*d + 248*w for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**3 + 13*p**2 + 7*p - 6. Let q(f) = 8*f**3 + 12*f**2 + 6*f - 5. Give -6*h(c) + 7*q(c).\nAnswer: 2*c**3 + 6*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 226*d - 2252. Let g be k(10). Calculate the greatest common divisor of g and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/14*2\/(-3). Let v = w - -4. Suppose j + 5*u - 19 = -8, 3*j - 33 = -v*u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 + 3*w. Is t(4) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42598 - 42437. Calculate the remainder when 980 is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {h: 10, z: 2, q: 1, d: 3}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:34 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let o = t + -8. Let g(c) = -c**3 - 6*c**2 + 3. Let k be g(o). Solve k = s + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 106 = 26. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 + 12*t - 3. Let f(u) = -12*u**2 - 24*u + 7. What is -6*f(h) - 14*r(h)?\nAnswer: 2*h**2 - 24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 109*b - 639. Let v = -198 + 401. Calculate the remainder when v is divided by f(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3536*k**2 - 3147*k**2 + 6680*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4441, 8878, 13315?\nAnswer: 17752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880580 = 20*u + 98540. List the prime factors of u.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6, 1331 = -0*o + o - 3*m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 4*f - 32, 2 + 1 = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*h = 3*j + 2, -2*h = -j - 8. Let s be (-1)\/(-10) + j\/(-10). What is the nearest to s in 1\/5, -0.2, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 3*q + 7, 2*q = -3*y + 66 - 68 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14648 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 6 - 2. Suppose w*q - 25 = 3*n, -5*n - 5 = -3*q - 0*n. Let o(g) = -24*g + 1. Let c be o(-1). What is the highest common divisor of c and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 27. Let h = -39 + v. Solve -b = -i - h*b, 0 = -i - 4*b + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*y**4 - 6067826*y**3 - 60766170*y**2 - 152351750*y - 1361500 = 0. What is y?\nAnswer: -5, -2\/223, 13615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(2\/65)\/l)\/l)\/l))\/l*l*l*(((l\/(l\/((((l**(-1\/20)\/l*l)\/l)\/l*l)\/l)))\/l)\/l)\/l*l)**24 assuming l is positive.\nAnswer: l**(1434\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 - -47. List the prime factors of (-209)\/18*-2 + 6\/j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(0 + sqrt(612) + sqrt(612) - sqrt(612)) - (sqrt(1088) + -1)*2*-5.\nAnswer: -10 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817*r + 10 - 15 - 772*r + 6.\nAnswer: 45*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-5) - (13 - (-126)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551346 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 431 = 4*d, d - 112 = 3*i - 7*i. Suppose 3*s + 4*z = 64, -4*s + 3*z + 19 = -d. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.2. Let t = 3.36 - -0.64. Let p = 2609\/14 - 373\/2. Which is the closest to i? (a) t (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.02562?\nAnswer: -0.10248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2483 and 324509.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4794 + 2376 = 20*q - 5830. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 66*c**2 + 111*c - 886. What are the prime factors of h(-53)?\nAnswer: 2, 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3\/12)*508. Suppose 4*l - 299 - s = 0. Suppose 0*z + l = 5*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-4))\/((-57)\/((-24795)\/58)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 1:40 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -64. Let o = -33619.805 - -33700. Let g = o - w. Round g to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21433437853752 - -0.5\nAnswer: -21433437853751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 1656?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 25 + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83213168*p**2 - 288346339*p?\nAnswer: 166426336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/4 - 18363*k\/4.\nAnswer: 3*k*(k - 6121)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*l - 3*u = -582, 0 = -2*l + u + 235. What is the smallest common multiple of l and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4*9)\/(3\/6). Calculate the least common multiple of (-6)\/(-27) - (-69)\/a*-14 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 319*i + 6. Let g be d(1). What is the highest common divisor of 91 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by 55.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 6. Let w be ((-90)\/8)\/(6\/16). Let j = w + 44. Calculate the lowest common multiple of j and d(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31792*u + 3*a = -31797*u + 94, u + 10*a = 47 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26154318*m - 45483054.\nAnswer: -26154318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*i. Which is the closest to 0? (a) -0.3 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*o**3*p**2 + 13*o**3 - 3*o*p - 2*p**2 - 3 wrt p.\nAnswer: -146*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + f - 191, 0 = -f + 5*f + 8. Suppose -k = -3*b - 4*n, 0*n - 4 = -n. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 14*n - 1. Let s be c(-12). Find the second derivative of 22*d**3 + s*d + 376*d**2 - 376*d**2 wrt d.\nAnswer: 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144948809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 123*s**2 + 4*s + 4. What is z(-2)?\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7147, -0.07, -0.1 in descending order.\nAnswer: 5, -0.07, -0.1, -7147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(4 + -3)*-2. Let m(c) = 70*c - 1. Let s be m(3). Suppose -3*r + s = 65. Calculate the highest common factor of w and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3*b - 3. Let n be g(-5). Let c(s) be the first derivative of 25*s**2\/2 + 16*s + 1965. What is the hundreds digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o + 3. Let p(z) = -11*z + 7. Suppose 5*j + 28 = -c + 5*c, 4*j + 20 = 2*c. Suppose 0 = -c*t - 3 - 7. Calculate t*r(w) + 2*p(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 9*z - 19*z + 10*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 12*p**2 - 9*p + 25. Let b be d(-11). Suppose 4*i + b*x = -x + 8, 5*i = 3*x + 10. Is -1 + 4 + -2 - -19*i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40400 by 80.\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h + 11*h + 24*h + 23*h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 137799240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = 4*k, -4*k - 3957 = 2*c - 3985. Solve -c*d - 89*d = -665 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0, -187.2, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 32121031213?\nAnswer: 32121031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 1\/6, -2, 1\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036734058.\nAnswer: 2, 518367029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*m**2 + 110*m**2 + 103*m**2 + 76*m**2 + 98*m**2 - 159*m**2.\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**5 - 4*r**5 - 3*r**5)*(0 + 0 - 1) + (13*r**4 + 13*r**4 - r**4)*(6*r - 3*r - 2*r).\nAnswer: 29*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*c + 3138 - 1856 = -3939 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 3429 - 5445 = 0. Calculate the greatest common factor of 957 and u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 1892397*u - 43523544.\nAnswer: -3*(u - 630776)*(u - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n + 18*n = 42005 + 374513. Calculate the highest common divisor of 76 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 112616828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 356, 536, 716?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((340\/2)\/(-10))\/(2\/10*(-75)\/30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -542.1 + 542.10868. Round j to four dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8006566 is divided by 1486?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 10*i**2 + 9*i + 6. What is the least common multiple of 20 and s(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2855 or -2867?\nAnswer: -2867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 4, g: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -574 at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-90)\/(-3810)*(-1)\/2)*(-54)\/216?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -17?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 46\/7. Let r(m) = 18*m - 375. Let u be r(21). Which is the second biggest value? (a) 0.04 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2261775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5327901 and 160837198?\nAnswer: 166165099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/828820 and -49\/20.\nAnswer: 828820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (1 + sqrt(63))**2*3 + ((2*sqrt(84)*-3)\/(sqrt(12) - (-2*sqrt(12) + sqrt(12))*-3))**2 + -4.\nAnswer: 18*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8272*x - 385. Calculate k(0).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - v**2 + v + (v - 3*v + 4*v)*(-7*v + 3*v + 2*v) + 2*v**2 + 16 + 1 - 3 as o*v**2 + n + m*v and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + 1. Let l(s) = -2*s**4 + 4*s**3 - 4*s**2 + 2. Let b = 4 - 3. Let g(m) = b*l(m) - 4*t(m). Differentiate g(d) with respect to d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*x + 14, -5*v + 29 - 64 = 5*x. What is the closest to -1 in -0.3, -2\/25, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-1168459286\nAnswer: -1168459285.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 14. Let h(p) = -2*p. What is 4*h(x) - 6*w(x)?\nAnswer: 4*x + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 9 = -0*g + 3*g, 3*s + 6 = 2*g. Let x(j) = -j + 8. Let u be x(s). Let p = u + -6. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*i + 11 - 167 = 228 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2. Let w(g) = -g**2 - 622. Calculate w(b(d)).\nAnswer: -100*d**4 - 622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -15. Let p = 1807.29 - 1819. Let y = p - r. Round y to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhhtchmchhthchhhtth. Give prob of sequence mtht.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 + -54. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 - -6 - 0. Let s be -3*((-133)\/34 + v). Let a = s + 957\/340. Calculate the common denominator of a and -143\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425868345?\nAnswer: 3, 5, 7, 23, 43, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -590 - -579. What is the common denominator of r\/(-55) + 167\/(-35) and (-258)\/8*(-4)\/(-30)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9\/y*y*y)\/y**(-6\/5))\/(y*y*y*y**(3\/5))**(-9\/2) assuming y is positive.\nAnswer: y**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s - 2 - 2\/3*s**3 + 3\/2*s**2. What is the second derivative of k(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72719*l - 72715*l - 3*m = -82, 2*l + 5*m = -54 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/5 - -8 - -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 16*b - 10. Let j be g(15). Suppose -4*r = -2*o - 90, 3*o + 34 = 2*r - j. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + sqrt(17))*5 + 4.\nAnswer: 9 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000645035728 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*h - 5, -5*h = 27 - 37. What is the nearest to 2 in o, 0.1, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose -j*p + 1 = 5*c, p - 4*c - 20 = -0*p. Let l = 8 + -5. Solve 0 = -t + a + 2, -l*t - 3*a + 2 = -p*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -6*v - v - 66*f - 1713, 4*v + 2*f + 118 = -3*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.84496 decades in years?\nAnswer: 198.4496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 - 13*h**3 + 8*h + 5*h**3 - 4*h**4 + 5*h**2 = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 1. Let x(k) = 158*k - 4. Let l(r) = -5*b(r) + x(r). Let q be l(1). What is the greatest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/132)\/(220\/(-198))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 14*c - 50. Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - ((-4)\/(-10) + (-6)\/(-10)). Suppose -c*z = 3*m - 142, -z = -m + 2*z + 29. What is the remainder when m is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4683\/131084 or 1?\nAnswer: 4683\/131084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -a - 13. Let l = a - -14. Suppose -20 = -k + n, 0 + l = 4*n. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 4*k + 23 - 19 + k. Let b(v) = -3*v + 3. Let h(d) = 13*d - 13. Let o(f) = 9*b(f) + 2*h(f). Give -i(a) + 6*o(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 + 237*m**3 - m - 82*m**3 + 135*m**3.\nAnswer: 294*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + -82 + 252 + (3 - 50).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Solve -29 = t + t - 5*r, -17 = -4*t - n*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2875886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -aa2aa7 (base 11) to base 13\nAnswer: -498677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 494.1 * -10.\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 113 + 111. Solve -4\/5 + 6\/5*l**i + 2\/5*l = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2173 - -1425520?\nAnswer: 1427713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3. Let r(q) = 1. Suppose -5*y + 9*y = 12. Suppose -y = w - 7. Give w*s(h) - 12*r(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -114\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -12\/7, 668, -2\/5, -5 in descending order.\nAnswer: 668, 9, -2\/5, -12\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 10 = -10, d = 6*o - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - -0.11. Let m = -0.28 + p. Let u = -0.150052 - m. Round u to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000130353 to seven decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1128 - -400. List the prime factors of q.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23704 and 75848.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 1. Let d(z) = -11*z - 4. Calculate -d(v) + 6*s(v).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -336*p - 323. Let y(w) = 995*w + 968. Let u(r) = 19*j(r) + 6*y(r). What is the derivative of u(x) wrt x?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2 = -7*w, 3*n = 8100 - 8097 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70899684 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-3)\/4)\/((-3)\/(-10)). Solve -22 = -2*q + 2*g - 4, 3*q + d*g + 13 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k = -39*k + 540. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + (-1308)\/(-54). Suppose -i*z + 680 = -28*z. What are the prime factors of (0 - z - -1) + (-51 - -54)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t. Let a be p(-3). Let x = -6 - a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 6*v + 3*v + (-1 - 4 + 3)*(-2*v - 7 + 7) + (-44*v + 6 - 6)*(2 - 7 + 3) to i*v + w and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 3. Let t(n) = -n + 2. Give 2*s(d) + 5*t(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 - (2 + 0). Suppose -k - 4*i + i - 16 = 0, i = 2*k - 17. Which is the second biggest value? (a) o (b) 5\/31 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 1. Let c(x) = 5 - 401*x + 804*x - 401*x. What is -3*c(v) - 15*f(v)?\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-17))**(-8\/11)*(k\/(k\/((k*k**(-2\/5))\/k*k)))**(13\/3)\/((k**(-1\/4)\/k)\/((k**(4\/11)\/k)\/k)) assuming k is positive.\nAnswer: k**(1167\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7266133 divided by -22.\nAnswer: -7266133\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 202. Let a(i) = -2*i**2 - 41*i - 168. Let u be a(-10). What is the highest common divisor of u and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - v + 4*v + 3 = 0, p - 4*v = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000796 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {e: 5, u: 7, i: 3, d: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(-724815)*252)\/(6\/9*-3).\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355 or -308?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20647 - 18258. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1884 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**4 + 0 - 4*m**4 - 2*m + 0 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = -2*m, b + 2*b - 3*m - 24 = 0. What is the second derivative of -t**b + 4*t + 3*t**4 + t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 166, 163, 154, 139, 118?\n\"Answer: -3*q**2 + 6*q + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let i(w) = 5*w - 2. Calculate i(y) + 4*l(y).\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3916817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4645 divided by -137?\nAnswer: 4645\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1. Let d(m) = -m**2 - 6*m + 15. Let j(f) = -d(f) - 4*o(f). Calculate the smallest common multiple of j(-9) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -471 + 468. Let h = -0.2 + -0.2. Sort 1\/3, a, h, 2.\nAnswer: a, h, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393346 is divided by 393322?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -4*x - 6, 2*r = -5*x - 0*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2687 + 3124.5. Round v to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 185*k + 25862. Give a(278).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 54) + 8111\/8111\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -19\/10*x**5 + 0 + 0*x**4 - 5*x**3 + 0*x**2 + 20*x. What is the second derivative of u(g) wrt g?\nAnswer: -228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 10) to base 13\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*m + 3, 5*m - 35 = 4*k + k. Let f(v) = 2*v**2 + 13*v + 9. Let j be f(-6). Which is the third biggest value? (a) j (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {o: 4, x: 6, t: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: b\"What is the th term of 13828, 13696, 13564, 13432, 13300, 13168?\n\"Answer: -132*b + 13960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12181)\/3748 + 7\/2. What is j in 5\/2*j - 2 - q*j**2 - 1\/4*j**3 = 0?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 20*y**4 - 2010*y**3 - 27540*y**2 - 112995*y - 87480.\nAnswer: 5*(y - 24)*(y + 1)*(y + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 2*b**2 - b + 1. Let v be s(2). Let r(y) = -37*y - 1. What is the tens digit of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6171\/847)\/(6\/28). Let r(i) = 5*i**3 - 11*i**2 + 6*i. Let c be r(8). Calculate the greatest common divisor of c and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.5209 rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -793170235739.000000427 - -793170235207. Let m = 532 + i. Round m to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(72)*5)**2 + (6*sqrt(64)\/sqrt(4))\/(-2*sqrt(16)\/sqrt(2)).\nAnswer: 117*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113221 + -226439\/2. Suppose 0 = 2*p - 6*p - 20. Which is the closest to 2? (a) -2 (b) o (c) p (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoou when four letters picked without replacement from aanuoooananooai?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26754, 54399, 82918, 112311?\n\"Answer: 437*x**2 + 26334*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 862658 (base 9) in base 12?\nAnswer: 20938b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 - 13*d - 17. Let a be l(-5). Let z(n) = -1623*n + 5. Is z(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.1353054 milliseconds to days.\nAnswer: 0.0000002793438125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2503 - 1?\nAnswer: 2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (300 + 431 - 80)*(6*b - 4*b - 6 - 2) to the form h*b + q and give q.\nAnswer: -5208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 35140850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21941326?\nAnswer: 2, 11, 997333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2122121001 (base 3) to base 16\nAnswer: -cbe0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 + -8.4. Is u < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*x + 7*x - 10, 5*o = 5. Let q(j) = j - 5*j + x*j - 2 - 4*j. Let t(k) = 3*k + 1. Determine -5*q(i) - 8*t(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -29*o**2 - 6*o + 7. Let x(q) = 28*q**2 + 7*q - 8. Calculate -7*j(v) - 6*x(v).\nAnswer: 35*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000219960223 to 7 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4967744, -4967739, -4967734, -4967729, -4967724?\n\"Answer: 5*m - 4967749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let s(j) = 16*j**2 - 23. What is s(b(k))?\nAnswer: 16*k**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3031 - -21?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -20964*w + 62939. What is o(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.115 (b) -1\/2 (c) -14 (d) 5 (e) -4\/11 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4000374056 to the nearest integer?\nAnswer: 63249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 653? (a) -3 (b) 0.2 (c) -4.2 (d) 20\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1349\/10 + 135. Let h = -3100.4 - -3100. Which is the third biggest value? (a) 0.4 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38373 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 13*d**4\/6 - d**3\/2 - 3*d**2 - d. What is the remainder when y(4) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2320790845 and 44.\nAnswer: 2320790889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19409705 divided by 5?\nAnswer: -3881941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 89010 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 - 2)*(-2*m - m + m) + 2*m - m + m - m + 3*m + 2 - m + 0 + 2*m + 0 + (-3 + 0 + 4)*(2*m - 4*m + 3*m) to k + t*m and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1826\/(-176) + -6 + (-2 - -1) + (-10914)\/(-1712).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:04 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 - -98 - (-14 + 41)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-6) + 637\/(-21). Let p = h + 31. Let u be ((2 + -3)\/(-2))\/((-24)\/16). Which is the third biggest value? (a) u (b) -6 (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 22 = 18. Suppose -3 = l*r + 2*y, r - 4*y = 2*r + 15. Let n be 6\/5*8\/24. Which is the nearest to n? (a) r (b) -1\/4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -0.58.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (6 + (6 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133.5 + 137.135. Let q = a - -0.065. Let l = q - 4. Sort l, -2, 0 in descending order.\nAnswer: 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5934817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 760 and 608.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33947017 is divided by 558?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5880327.3 and -3.2.\nAnswer: -5880330.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r + 6*r - 9*r**2)*(-52 + 26 + 26 - 76*r**2 + 14*r) to the form i*r + c + f*r**2 + q*r**3 + u*r**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007016472649 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 160 + -107. Suppose 23*o = 24*o + y. Let n = o + 60. Solve -h - n = -2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + (1 + -5 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - 7 - 9 + 5)*(-3*q + 47*q**2 - 14*q**2 - 25*q**2) in the form n*q + u*q**3 + p*q**2 + d and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s - 2*s + 6 + 3*s. Let z be u(-9). Let f = -3 - z. Solve t = -f*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.99 times 6.7?\nAnswer: -180.833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**4\/24 - 7*b**3\/2 - 5*b**2 - 7*b. Determine s(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:19 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 10*q - 8*q - 1888588 + 23*q.\nAnswer: -q - 1888588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 6, z: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1214253 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271164261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, 90, 306, 538, 792, 1074, 1390?\nAnswer: 1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 15*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6543097kg?\nAnswer: 654309700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3172827816?\nAnswer: 2, 3, 3907, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 f, and 1 d when four letters picked without replacement from blbblllffbbbmbbbdlbb?\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 - 4*y**2)*(4*y + 3*y - 2*y) + 187*y**3 + 57*y**3 + 17*y**3 + 3*y**3 + 0*y**3 - 2*y**3.\nAnswer: 237*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -2*k**7\/21 - 22*k**6\/15 - 27*k**5\/5 - 25*k**4\/3 - 16*k**3\/3 - 637*k + 1. Determine m so that i(m) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -6)\/2 - (0 - 0). Let s(v) = 146*v**2 - v. What are the prime factors of s(d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iruyz. What is prob of picking 1 u and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b + 6. Let v be f(1). Let h(w) be the first derivative of w**2\/2 + 4*w + 2. Determine h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(54))\/sqrt(7).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:37 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v + 5245. Suppose 328 = a - 5*y, v = 3*a - 0*y - 2*y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {j: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -276*j**4 + 80138*j**3 - 12943017 wrt j?\nAnswer: -1104*j**3 + 240414*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by (18\/21)\/(-1) - (-137418)\/777?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umvvzmsmuzmzmzzmv. Give prob of sequence smm.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 4:12 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -378 * -14\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*f**2 + 0*f + 0*f**3 + 2\/11*f**4 + 2\/11.\nAnswer: 2*(f - 1)**2*(f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 580, 490, 412, 346, 292, 250?\n\"Answer: 6*o**2 - 108*o + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:44 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -695, -687, -673, -653, -627, -595?\n\"Answer: 3*b**2 - b - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnnxnunnnfxnzu. What is prob of picking 1 x and 1 z?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 56?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -110*w**3 + 2*w**2 + 3*w + 1. Suppose 2*u + j = 0, 4*j - 3 = -5*u - 0. Is r(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 3 + (-90 - -71)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 17*l - 4. Let c be d(8). Suppose 0 = -b - c*s + 59, 5*b = -0*s + s + 232. List the prime factors of b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*q*u - 29480*f*q + f - q - 958*u - 30 with respect to f.\nAnswer: -2*f*q*u - 29480*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21848059*f**4 + 2334632*f**2 + f wrt f.\nAnswer: -524353416*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = 5*c - 12*c. Let h = c + -54. Solve h = 5*j - 3*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52737117 is divided by 424?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**2 + 10*u + 4. Let i be l(-5). Suppose -2*d - 6*h + i = -h, -452 = -5*d + 2*h. Is 39 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1804.99995074 + 1805. Round t to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200002332 (base 4) to base 10.\nAnswer: -131262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -483*(-10 + (-325)\/(-39))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**1*q))**(-5\/6)*q*q\/(q\/q**(-4))*q**(1\/4) assuming q is positive.\nAnswer: q**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w = 53037 + 47196. Is 71 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*i**6 + 707197*i**3*q**3 + 24*i**2 + 319800*i*q**3 wrt i?\nAnswer: -5160*i**3 + 4243182*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - (-27)\/6. Suppose -3*v = -5*y - 26, 5 - 21 = d*y. Suppose 8*h - 3*h - 25 = -4*r, r = -3*h + 1. What is the smallest common multiple of r and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*r + 83, 3*r + 2*m - 57 = -0*r. Suppose -19*d - 345 = -24*d + 5*n, d + 2*n - 51 = 0. What is the remainder when d is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 6*g + 5. Let m = 23 - 11. Let k = m + -7. What is the units digit of v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 75. Let q = 0 + d. Suppose 4 = -q*g + 302. List the prime factors of g.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 201.2 and -4486.\nAnswer: -902583.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 3523324248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - z - 505 + 5 = 0, j + 250 = 3*z. What is the units digit of (-2)\/4*j\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (14 + 66 + -44)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 41 - 9 = -2*l, 0 = l - 2*b - 29. Let w = 30 - l. Let z be ((-3)\/(-4))\/(w\/72). Solve 4*q + 3 = -3*h, 6*h = 2*h - 2*q + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 7:59 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b - 309*b = -170*b - 5*p + 4, -26 = 5*b - b - p for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 510*j*y**2 - 20*y**2 - 3 wrt j?\nAnswer: 510*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (4 - (-4 - -2)) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {t: 1, o: 4, f: 1, s: 1, e: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -893*c**4 + 25*c**2 - 3*c + 2*c + 24*c**2 - c + 894*c**4 as r*c**2 + x*c**4 + u + m*c**3 + k*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -115.\nAnswer: -5.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, d: 1, a: 2, g: 1, w: 1, b: 1}. What is prob of sequence pagp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.6 - 7. What is the third smallest value in -1.1, 4, 0.4, 5, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:19 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*1*6 + sqrt(132))\/(-4*sqrt(60)\/sqrt(5) + sqrt(12)) + -5*((sqrt(11) - (sqrt(44) + 4)) + 1*sqrt(11)*1).\nAnswer: -7*sqrt(11)\/3 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*c + 0 = -16, -4*i = -3*c - 27. Let b(j) = j**2 - 17*j + 20. Let z be b(15). Let y = -6 - z. Calculate the remainder when y is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 10*l**2 + 23*l + 29. Calculate a(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -45960501*-1\nAnswer: 45960501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, y: 1, u: 9, p: 1}. What is prob of sequence uyt?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 147547 = -5*v + 7*v, -5*v = 2*m - 42174. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3471.02 - -3471. Put -0.1, 2, x, 4, 2\/5 in ascending order.\nAnswer: -0.1, x, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 8*n**2 - n + 12. Let r be w(8). Solve r = 4*q + 2*z, -4*q + q = z - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 12:33 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35\/22? (a) -2 (b) -2\/11 (c) 4\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-78) - 8\/(-3). Suppose -5*h + 2361 = 4*w, -t*w - 5*h = -10*h - 1762. What are the prime factors of w?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 44. Suppose -4*d + 3*d = -2. Suppose -j = x - d*x. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 9.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 - 5*l + 3. Let d be b(-4). Suppose 0 = a - 2*a + d. Calculate the remainder when a is divided by (-2 + 4 - -1) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 7*i - 1829 = 0. Is i greater than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597683.7ml to litres.\nAnswer: 597.6837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400 is divided by 231?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 1. Let z be y(4). Let w = 1185.1 + -1185. What is the third smallest value in 6\/13, w, z?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26629482 divided by -66.\nAnswer: -403477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/9, -0.01, -1, 9.5?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/3 - 24*y**2 + 30. Let t(p) be the second derivative of l(p). Let v(i) = -5 + 5 + 17*i - 18*i. Determine t(v(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 4*l + 7, -4*o = l - 16. Suppose 15 = w + o*x - 16, -x = -2. Suppose -4*s - w = s. Sort s, 2, 0 in ascending order.\nAnswer: s, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12548 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 447.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1345, 1354, 1363, 1372, 1381, 1390?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-7)*(-14938)\/3201.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d - 10. Let t be v(-2). Let l(a) = a**2 - 4*a. Let k be l(5). Let u = k - 3. Sort u, 5, t in descending order.\nAnswer: 5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-21))\/(2\/14). Let l = p + -4. Let g be (-57)\/152 - 74\/(-112). What is the third smallest value in g, l, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 + 19*n**3\/3 + 86*n**2\/3 + 104*n\/3 = 0.\nAnswer: -13, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 56 = 4*a, 2*a - 28 = 4*a + 2*c. What is the least common multiple of (0 + -9 + 2)\/(-1) and 456\/42 - 2\/a?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4999 = -21*y + 5104. Solve 0 = o - r - 6, 35*o - 34*o + y*r - 6 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 193*f**2 + 11 + 894*f**2.\nAnswer: 1087*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 5549684.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22695, -46096, -69523, -92988, -116503, -140080, -163731?\nAnswer: -187468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 3276.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 16*a**2 - 13*a + 34. Give g(15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.34 in -3\/4, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97 and 244?\nAnswer: 23668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c. Let s(x) = -x. Let r(l) = -d(l) - 6*s(l). Let w(o) = -2*o. Determine r(w(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 6*y + y)*(-203*y**2 + 390*y**2 - 302*y**2).\nAnswer: 345*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.5, 172, 1\/5, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.129122, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -61\/2. Let d be (-1 + (-76)\/(-60))*-12 + 4. Sort g, 4\/7, d.\nAnswer: g, 4\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -31*g - 9 + 0*g**2 + 5\/3*g**3. What is the derivative of t(s) wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 863*g**7\/42 + g**5\/12 + 139*g**3\/6 + 519*g**2. Find the third derivative of s(u) wrt u.\nAnswer: 103560*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187.1 + 182.1. Which is the third smallest value? (a) n (b) 9 (c) -1 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 13*f**2 - f - 1. Let d(z) = -z - 12. Suppose 0 = 4*q - 4*s + 28, 36 = -4*q - 2*s + 4*s. Let o be d(q). What are the prime factors of y(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27506 at most as big as -27545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c - 15. Let n be x(5). Let b = -8 + 13. Calculate the greatest common divisor of n and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1422, -2051, -3062, -4449, -6206, -8327, -10806, -13637?\n\"Answer: b**3 - 197*b**2 - 45*b - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4862, -19435, -43722, -77723, -121438, -174867?\n\"Answer: -4857*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Suppose -2 = k*w + 8. Let j = w + 6. Solve -j*p = 8, p - 1 = -4*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n = 790 - 824. Which is smaller: n or 7\/883?\nAnswer: 7\/883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.647 + -3.646994743. What is r rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21770671*w**4 - 46899368*w**2 wrt w.\nAnswer: 522496104*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028609033 to the power of 1\/2, to the nearest integer?\nAnswer: 45040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -745*h**6 - 685*h**2.\nAnswer: -89400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**4\/12 + 80*m**2. Let s(l) = 1. Let t(i) = 4*i + 10. Let j(a) = 10*s(a) - t(a). Give j(q(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)\/(g*g\/(g\/((g\/g**11)\/g)))*(g**10)**(-5\/6) assuming g is positive.\nAnswer: g**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y - y. Let t be (3\/1)\/1 - (y + 5). Solve -q + 0 = 5*z - 1, -t*z - 3*q = 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 31. Let u be h(-20). Let p(v) = v**3 - 12*v**2 + 9*v + 39. Let m be p(u). What is the highest common factor of 663 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 314\/168 + (-8)\/6 + (-25)\/50?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6044 (base 8) to base 10\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16952615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 8, f: 3, d: 3}. Give prob of picking 1 f and 2 d.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9519 (base 13) to base 5\nAnswer: 1130030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10671 is divided by 130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 7*i**2 + 3*i + 35. Give u(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:22 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/12)*q**(-1\/3)*((q**(2\/5)*q)\/q)\/q**(-3\/7))\/((q**(-1))**39\/(((q*q**(-3))\/q*q)\/((q**(-5)*q)\/q))) assuming q is positive.\nAnswer: q**(5961\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299267 to the power of 1\/2, to the nearest integer?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4063*h + 9 + 8139*h - 4067*h to the form a + t*h and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1044)\/20358 + 862\/78 - (-1010)\/(-92)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248310343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22032 divided by 5508\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1215*u - 77733. Determine c(-64).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53253 and 1519632.\nAnswer: 147404304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-567)*1998)\/(16\/12).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81.9*4\nAnswer: -327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8133521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5504*i**3 - 17510*i**3 + 12024*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2\/4 + 20248865*u\/2 - 82003306757645\/4 = 0.\nAnswer: 4049773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**40)\/r**(2\/43)*(r*r**(-27)\/r*r)\/r**(-34) assuming r is positive.\nAnswer: r**(-1335\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 29.2, 2\/13, -213?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6096*g**2 - 1313*g + 1313*g)*(0 - g**2 + 0 + (0*g + 2*g + 0*g)*(-g + 0*g + 0*g)) in the form x*g + r*g**2 + b*g**4 + q + l*g**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/25 + (-109962536)\/(-10). Suppose f - 26996254 = 2*s. What is s rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(32)\/sqrt(4)) - (-1 + sqrt(76)).\nAnswer: -sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55, -185, -393, -667, -995, -1365, -1765, -2183?\n\"Answer: 2*a**3 - 51*a**2 + 9*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 23*q - 20*q**2 + 48*q - 19*q.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 38 + 0*g - 29\/4*g**4 - 33*g**2 + 0*g**3. Find the second derivative of d(c) wrt c.\nAnswer: -174*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 32*y + 7371. Determine f(-230).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 8*h - 6. Let v be p(-9). Suppose v*l + 0*q - 3*q - 12 = 0, 0 = -2*l + 3*q + 8. Solve -c = -5*c + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 21490122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 33856.\nAnswer: 33856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/(-25)*((-15390)\/152)\/(-81).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l - 163. Let o(s) = 28*s + 326. Let u(v) = -6*o(v) - 11*r(v). Let f be u(-12). What is the highest common divisor of 485 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w = 23*w - 90. Suppose 5*t = -3*o - 145, -t - 5*o = -0*o + 29. Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 21*o**2 - 74*o + 33. Let c be s(-5). Solve -4*m = 5*h - 8, 2*m - 13 = -c*h - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 20\/(1 + 3*1\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let j = 2 + o. Which is the biggest value? (a) j (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/8*(-18)\/30)\/(26*63\/2184)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*r + 38*r - 1330 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5613*w**2 - 5613*w**2 + 3*w - w**3 + 18*w**4 in the form z*w**4 + l + s*w**2 + t*w**3 + f*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 9*b - 13*b)*(-5*b**2 + 4*b**2 + 0 + 3*b**3 - 2).\nAnswer: 12*b**4 - 4*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from ksekvsdv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 - 3*v - 52. Let b(d) = -d**2 - d. Determine 3*b(w) - j(w).\nAnswer: 5*w**2 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 2*x - 15 = 0, -611 + 608 = 3*q + 5*x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3808231, 7616460, 11424689, 15232918, 19041147, 22849376?\n\"Answer: 3808229*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 1. Let v(m) = 5*m**3 + 5*m**2 + m + 2. Let u(p) = 6*o(p) - v(p). Suppose k = 2*k - 6. Suppose -s - 1 = -k. Determine u(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 7*j - 2*y + 24 = 0, j = -5*y. Let t be (-1 - -3)\/(15\/j). Solve -2*c + 4*c = -t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 13. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49994062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. What is the second derivative of 3*c**2 + 8*c + 4*c**3 - w*c**2 - c**3 wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (1 - (0 - 14)). Let c be (-5 + 4*(-7)\/28)*(-16)\/6. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4929*d + 4917*d + u = -39, 0 = 2*d - u - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 26*p**2 + 0.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572 + 197 + 183 - 7*w**2 + 196.\nAnswer: -7*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**2 - 41*b**2 + 81*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-81)*-9)\/((-2)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*t + 13 = 0, -3*k + 0*t - 2*t = 8. Let f be k\/7 + (-37)\/(-7). Suppose 2*n = -5*q - 3, f*n - 1 = 4. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - -3*sqrt(120)) + sqrt(120) + sqrt(120))\/sqrt(2))\/sqrt(12) - (sqrt(405) + 2 + sqrt(405) + sqrt(405)*3).\nAnswer: -39*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 15*y + 525. What is b(-31)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (3 + -9)*-8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - -4. Suppose 0*t + w = 5*t. Solve 0*l = t*l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77938 smaller than -77938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-2) + 11 + -10. Which is the nearest to g? (a) 5 (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = 5*u + 15, -u = 4. Let k(x) = -x**3 - 4*x**2 - 4*x - 2. Let j be k(q). Let n be 2*-1 - (j - 19). What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1396285*l + 31849 wrt l?\nAnswer: 1396285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/24 - (-30)\/80?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7004 (base 11) to base 15.\nAnswer: -2b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -324, 68, 192, 0.12 in ascending order.\nAnswer: -324, 0.12, 68, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -8086?\nAnswer: -8086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287.831 + 288. Let t = u - 0.269. Sort t, 2\/15, -7 in ascending order.\nAnswer: -7, t, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1231 * 0.16906.\nAnswer: 208.11286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*x + 3*j**3*x**2 - 77470*j**3 + 38*j**2*x**2 + 987*j + x**2 - 2*x wrt j.\nAnswer: -48*j*x + 18*x**2 - 464820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (8 + -4)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*c - 3*c. Let l(v) = -v**2 - 6*v - 5. Let j be l(c). What is the second derivative of -h**3 + h + h**j - h**5 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, p: 2}. Give prob of sequence sps.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-56))\/(1\/1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, b: 2, e: 4, d: 1}. What is prob of picking 1 d, 1 e, and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 7*h**2 + h - 3. Let v be f(7). Suppose 2*s - 14 + v = 0. Let q = -36 - -39. Sort 5\/3, q, s in descending order.\nAnswer: s, q, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let g(p) = -11*p**2 - 9*p - 8. Let d(h) = -5*h**2 - 4*h - 4. Let k(b) = -9*d(b) + 4*g(b). Let v(s) be the first derivative of k(s). Give v(i(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/156353126 and -31\/1225862.\nAnswer: 1719884386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5566 * 0.025.\nAnswer: 0.013915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**13)\/(m*m\/((m*(m\/m**(1\/2))\/m)\/m)) assuming m is positive.\nAnswer: m**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 1, s: 1, m: 2, r: 1, d: 6}. What is prob of picking 1 d, 1 p, and 1 a?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {q: 5, p: 4, y: 1, h: 6, z: 3, u: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516 + 339 - 71*f**2 + 94 + 83.\nAnswer: -71*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-168)*-14*6564.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 194. Let c(i) = 50 + 60 - i**3 - l + 10*i**2 + 4*i. What is the tens digit of c(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 4*x - 1. Let t be h(5). Let p be (-1)\/((-21)\/t - 4). Suppose p = -y + 5. Solve 5*f = -y*n - 22, 0 = -3*n - f - f - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34912375 divided by -9631\nAnswer: -3625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (1 + sqrt(19))**2 - sqrt(19)) + (sqrt(19)*1)**2 + 2 + 0.\nAnswer: sqrt(19) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 0. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17520*q**3*t*w + 187*q**3*t + 7*q**3 + 9*q**2*t*w - 2*q**2*t + 4*q**2*w - 2*q**2 - 2*q*w - 6*q + 549*t wrt q.\nAnswer: -105120*t*w + 1122*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 39. Let r = f - -3.7. Let q = r - 8.70000176. Round q to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 1 - 3, 5*v + 5*x = 20. Round v to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/28))\/a*a)**29 assuming a is positive.\nAnswer: a**(841\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 103. Suppose -2*t + 4*p = -26, 5*t - 2*p + 5*p = g. Suppose -t*k - 7*h + 6*h = -23, -4*h - 10 = -5*k. Solve a + a = k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 55 - -1 - ((41 - 28) + -33).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 551. Suppose u = 5*a + 216. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 6:58 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {t: 2, v: 1, z: 1, c: 2, y: 1, h: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7 + 3*z + 12*z**2 + 1 + 2. Let j(f) = 11*f**2 + 2*f - 3. Let q(t) = 7*j(t) - 6*r(t). What is the units digit of q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c**2 - 5. Suppose 0 = 16*j - 41 - 25 + 146. Let v(h) = 11*h**2 + 4. Calculate j*v(x) - 4*t(x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 62*j - 57*j, -4*a - 5*j + 64761 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -4 + -4 + 8 + -3 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and -0.6?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 3*v. Solve 7*y = v*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139222805?\nAnswer: 5, 27844561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q - 138. Calculate h(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-345*s**2 + 133*s**2 + 153*s**2)*(0 + 4 - 6)*((1 - 1 - 2*s)*(2 - 1 + 0) - 1 + 1 - 2*s)*(0 + 1 - 3) to the form z + g*s**2 + w*s**3 + i*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246908 is divided by 4115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 - 17*t + 3. Suppose 5*n - r + 18 = 0, 2*n = -r - 1 - 9. Does 37 divide s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54184 is divided by 27081?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5051 (base 9) in base 4?\nAnswer: -321223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let a(z) = z**3 - 5*z**2 + 17. What is -a(l) - 4*m(l)?\nAnswer: -l**3 + l**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22165, -44321, -66477, -88633, -110789, -132945?\n\"Answer: -22156*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:21 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mimf when four letters picked without replacement from mixfim.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -55. What is the third derivative of x*k**2 - 6*k**3 - 10*k**3 - 2 + 2 wrt k?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/24 - t**3\/3 + t**2 - 7*t + 11. Factor d(s).\nAnswer: (s - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000326818 to 6 decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35.32 - 36. Let h = 0.32 - g. What is the closest to h in -0.06, -0.1, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103244 (base 6) to base 9\nAnswer: 12621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2178284 (base 10) in base 6?\nAnswer: -114404352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 0*a)*(-22 + 22 - 54*a**2 + a**2 - 3 + 3 + (4*a**2 - 5*a**2 + 3*a**2)*(-2 + 1 - 1) + 3*a**2 + a**2 - 6*a**2).\nAnswer: 59*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*k - 3 + 3076*k - 1541*k.\nAnswer: -6*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:59 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 - 2*t + 1. Suppose 3*x - x - 4 = 0. Suppose -5 = -w, x*k + 3*k = 4*w - 5. Suppose -15 = k*f, 2*s - f = 4 + 7. Give b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 594f1?\nAnswer: 594f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 - s**2 + 3*s - 2. Let m be y(1). Let b(t) = t - 15. Let l be b(20). Sort -2, l, m in decreasing order.\nAnswer: l, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**3 + 4*m**2 - 3*m. Let o(g) = -17*g**3 - 11*g**2 + 9*g. Let y be 1\/(-3) - (-16606)\/138. Let z = y - 131. Give z*d(s) - 4*o(s).\nAnswer: 2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*d**3 + 18*d**3 - d**2 + d**4 - 10*d**4 as u*d**2 + k*d + g + h*d**3 + l*d**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7))*-5 + 4.\nAnswer: -5*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 - 2*n - 2. Let v be k(4). Let w = -17 - v. Let t = -2 - w. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 1980\nAnswer: 13\/1980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16680\/253 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzhhzzzhzhzzzzzzhzh. What is prob of sequence hzz?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119\/24 + -143\/120. What is the common denominator of -11\/150 and v?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.82 * 0.3\nAnswer: 3.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k - 1102*k + 7464*k.\nAnswer: 6433*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1413391583?\nAnswer: 1413391583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -220. What is the remainder when t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqjjjjjjjqjj. What is prob of picking 3 j?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w = -140. Let o be ((-7)\/(w\/(-12)))\/(4\/(-10)). Suppose 2*v + o*v + 7985 = 2*p, 2*v - 16006 = -4*p. What is p rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 1119 + 783 + 1694 = 0 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g*q**2*y**3 - 2*g*q**2 + 15*g*q*y**3 + 2*q**2*y**3 - q*y**3 + 2*q wrt q.\nAnswer: -8*g*y**3 - 4*g + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -k - 4*q + 74, -q = -4*k + 231. What is the remainder when 236 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 3456.\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbccbbbbbcbbb. What is prob of picking 3 c?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.195433801 to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 19.\nAnswer: 130\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8065.\nAnswer: 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -241 - -2167\/9. Let l(c) = 87*c. Let x be l(4). Let p = 3176\/9 - x. What is the common denominator of p and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 587, 3, 0.01.\nAnswer: 0.01, 3, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-40))\/((-1701)\/3696 + ((-2268)\/154 - -15))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - i. Let q(l) = l**2 + 5*l + 4. What is the least common multiple of q(-5) and c(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264.49 or -1862?\nAnswer: -1862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(200) - (sqrt(200) + 2) - sqrt(200)) - (5 + sqrt(200) + 2 + sqrt(200))) + -4)*-4 + -1)**2.\nAnswer: 18880*sqrt(2) + 54681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(12\/(-2)) + 5. Suppose z*o - 20 = -4*g, o - g - 2*g = -7. Factor -1\/3*w**4 - 3*w**o + 7\/3*w + 5\/3*w**3 - 2\/3.\nAnswer: -(w - 2)*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -3. Let z = -253 - -253. Suppose z = y + 6*y - 35. Sort y, -2, v in ascending order.\nAnswer: -2, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/161, 1, -3\/5, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 679*q**5\/15 - 4279*q**3\/6 - 2*q**2 - 12*q - 68. Differentiate j(d) with respect to d.\nAnswer: 5432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -4 (c) 462 (d) -39.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000226188 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 3. Suppose -3*x = 9*x + 36. Suppose 35*d = -20*d + 110. Let r(g) = -g + 3. Give d*k(a) + x*r(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m = 107*m + 93702. Are -590 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.256443\nAnswer: 0.0769329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 31801, 1, -1, 4.\nAnswer: -3, -1, 1, 4, 31801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/6)*p*p\/(p*p\/p**15)*p*p assuming p is positive.\nAnswer: p**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -349*d**4\/4 - 649*d**2\/2 + 705. Find the second derivative of t(m) wrt m.\nAnswer: -2094*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let x = -94 - -90. Which is the closest to 0.1? (a) 0 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 6. Suppose -p = -3*p - 12. Let s(y) = -4*y - 13. Let a(d) = p*s(d) - 13*x(d). Let f(c) = -15*c**2. Give a(f(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 - 34.8. Let q = -29.96 - g. Let c = q - 4.14. Round c to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49141 and 42568?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(3\/7)*w*w**(1\/6)*w*(w**(-2\/3))**(3\/17) assuming w is positive.\nAnswer: w**(2483\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9705925 by 10.\nAnswer: -1941185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 3, n: 5, h: 3, m: 8}. Give prob of picking 2 q and 1 h.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 734 - 730. Let h(m) = 4*m - 3*m + 0*m**2 - 3*m + m**2 + 5. What is h(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4670443.\nAnswer: 107, 43649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2028667 to the power of 1\/2, to the nearest integer?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g - g)*(7*g - 2*g - 9*g) + (6*g + g**2 - 6*g)*(-2 + 0 + 0).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-4 - -163)\/(-3). Suppose -3*f + 38 = 5*i, -27 - 27 = -5*f + i. What is the greatest common factor of c and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 361190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 254 + 182. Let i = -78 - q. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271.5165 - 0.2835. Let s = j + 272. Let y = 3103\/15 - 207. Which is the nearest to s? (a) -4 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (500\/168 - 5 - (-15 + 13))*-3\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 5*f**2 - 6*f - 9. Give p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from jpidh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784663937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 8*j + 1. Let s(r) = -39*r**2 + 16*r - 4. Let o(x) = 2*l(x) + s(x). Let m(d) = 14*d. Calculate o(m(q)).\nAnswer: -7252*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z + 1)*(6*z - 10*z + 10*z) - 3*z**2 - 2*z**2 + 6*z**2 + 2*z**2 + 3 - 3.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:36 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39657 is divided by 9911.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p + 2. Let n be r(5). Let v = 0.397 + -0.705. Let l = v - -0.708. Which is the biggest value? (a) l (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-4 - (-2 + 2)). Does 13 divide (-3)\/w + (-585)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12798*-6\nAnswer: 76788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16795.4 + 16795. What is the third biggest value in k, -0.134, 1.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2. Let m(q) = 0*q + 4865517 + 0*q + 2*q**2 - 4865452. Determine c(m(t)).\nAnswer: -24*t**4 - 1560*t**2 - 25350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/27 (b) 1\/325 (c) -2\/9 (d) -0.2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(((sqrt(99) - 2*sqrt(99)) + sqrt(99) - sqrt(99) - sqrt(99))*1)\/((2*sqrt(27))\/sqrt(3)).\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)\/r*r\/r**11)**(-1\/5) assuming r is positive.\nAnswer: r**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07420093 - 0.0742. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 10) to base 11.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460.97 rounded to 0 dps?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*a = 53 + 13, -3*a = -12. Suppose -r*m + 8890 + 3290 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390108 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d = 21*d + 25*d + 41928. List the prime factors of d.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 548350*z**2 - 2*z - 548350.\nAnswer: 2*(z - 1)*(z + 1)*(z + 274175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 188808*a**3 - a + 5. Let i be g(5). What is i rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/12)\/(22\/(-16)). Suppose 3*v - 2 = -17. Sort -2, s, v.\nAnswer: v, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(-2 - 8 + 14) - 4 + 3 + 0)*(2 - 2 + 2*u) to a*u + g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -11*u + 963. Solve u = -4*f - 11*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 + -6c?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -199, -516, -1383, -3076, -5871, -10044, -15871, -23628?\n\"Answer: -46*o**3 + o**2 + 2*o - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -882, -855, -818, -777, -738, -707, -690, -693?\n\"Answer: -r**3 + 11*r**2 + r - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/685 and -91\/30?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -65*v. Let o(l) = -2940*l - 19. What is o(y(b))?\nAnswer: 191100*b - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {a: 3, u: 2, v: 1, p: 1, m: 5, n: 1}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -122*o - 1014. Calculate t(16).\nAnswer: -2966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/24 + 3*b**2. List the prime factors of n(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*c - c + 28 = 0, 3*c = 5*u + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.589 + -0.53. Round v to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**5\/20 - z**4\/3 + 3*z**2\/2 - 2*z - 3. Let d(o) be the first derivative of n(o). Let p be d(5). Solve 8 - p = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**6\/30 + 19*r**5\/15 + 32*r**4\/3 + 88*r**3\/3 + 1426*r**2. Factor i(f).\nAnswer: -4*(f - 22)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 71102626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 9. Suppose 4*j = 2*a + a + 3, -3*a = -5*j + 3. What are the prime factors of w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 51.806ml?\nAnswer: 0.051806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3481 - -3478. Put -2\/3, 4, 2\/11, j, -126 in decreasing order.\nAnswer: 4, 2\/11, -2\/3, j, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 16*p**2 - 37*p + 18. Let d be w(18). Suppose 0*g + 2*u = 2*g - 4, -4*g + u - 4 = d. Let r(k) = k**3 + 3*k**2 + 2*k + 2. Determine r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*y - 253609749*n + 71021855*y wrt y.\nAnswer: -2*n + 71021855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.3 (c) 1.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 7*f**2 - 5*f + 7. Let o be d(6). Let x = o + -11. Suppose -x*i + 16 = -6*i. What is the closest to 2\/11 in -2\/7, i, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (-17 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 36 - 36. Let x(p) = -6*p**2. Determine i(x(o)).\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210142.\nAnswer: 2, 105071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-11) + 1026\/1463 and 59\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 689*s - 12 = -2*w + 687*s, -2*w = -3*w + 2*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.2 (b) -20.111 (c) 13.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(0 + 0 + -2). Suppose 5*o + b - 110 = 0. What is the greatest common divisor of o and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/39489030 and -64\/147?\nAnswer: 276423210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*j. Let v = 3 - j. Suppose -v = -4*q + 29. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:08 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*q**3 + 60*q**2 + 20*q.\nAnswer: -5*q*(q - 2)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 231, -88, -885, -2382, -4801, -8364, -13293, -19810?\n\"Answer: -37*t**3 - 17*t**2 - 9*t + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.73872 times -0.4\nAnswer: -1.495488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 10}. Give prob of sequence gx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.746947899 and 13066?\nAnswer: 13066.746947899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43687.520658016 less than -1?\nAnswer: 43686.520658016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024758921 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*2 + (1*((1*sqrt(133) - sqrt(133)) + sqrt(133)) + sqrt(133) - sqrt(133)))\/(sqrt(28)\/(sqrt(484)*-1))*1.\nAnswer: -143*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276661, 276663, 276665, 276667, 276669?\nAnswer: 276671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 6, -1, -8, -15, -22?\n\"Answer: -7*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-992)\/(-192))\/31)\/(2\/(-6))*-66\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368030.\nAnswer: 2, 5, 13, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65335176 to the nearest integer?\nAnswer: 8083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 778790337 to the nearest integer?\nAnswer: 27907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 68 = 25*c. Suppose u - 31 = c. Calculate the remainder when u is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/11 - 3576*m**3\/11 + 1584104*m**2\/11 + 12844992*m\/11 + 25804928\/11 = 0 for m.\nAnswer: -4, 898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 3787*s\/2 + 3788.\nAnswer: -(s - 7576)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 826\/5369*(-13)\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2513550 is divided by 125677?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 7*q - 4. Let j(s) = s - 9*s**2 - 6*s**2 - 3 + 17*s**2 - 4*s. Let p be j(3). Give f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559131927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111656 (base 8) to base 6\nAnswer: -451010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 10 = 6*m - 4*b, m = 4*b + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 2*a**4 + 16*a - 3 - 2*a - 7*a - 4*a**2 - 5*a + 6*a**3 in the form h*a**4 + f + q*a**3 + m*a + x*a**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -92 + 98. Sort -1, z, -2 in descending order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = y - 5. Let s(r) = r**2 + 5*r - 1. Determine s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3451 and 50.\nAnswer: 17.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 334841 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12264?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -18 - -20 - (7 - -5 - -2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -22564610?\nAnswer: 22564577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8*c**2 + 4*c**2 + 6*c**2 - 6. Let k be u(2). Solve -4*y - 3 = -v, 3*y + k = 2*v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -91, -93, -57, 23, 153, 339?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18991620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = 17*v - 0*v - 20*v, 0 = 34*k - 34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1031 - -3?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*j = 21, -5*j - 2 = -3*t + 23. What is the second derivative of -3*o**5 + o + 4*o - 4*o + 9*o**t wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.847851243 rounded to 3 decimal places?\nAnswer: 2.848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.274 times -0.01\nAnswer: -0.03274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -38, -2, -3 in ascending order.\nAnswer: -38, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4819327 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219105 and 1332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50094 divided by -414\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44421789 is divided by 604.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**8\/336 + g**4\/12 - g**3\/6 - 3*g. Let m(y) be the second derivative of k(y). Find the first derivative of m(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -70*p**3\/3 + 3*p. Let c be s(-1). Suppose 2*z = -2*z + c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 16*j**2 - 16*j - 10. Suppose 14*s + 3*g + 3 = 11*s, 24 = 4*s - 3*g. Suppose -70 = 4*u - 2*l, -s - 7 = -2*l. What is d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 232 and -1.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/728, -0.5, 32\/5.\nAnswer: -0.5, -1\/728, 6, 32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1097 + -1097. Let s(k) be the first derivative of -2 + 0*k**2 + k**4 + 1\/3*k**3 + j*k. Find the third derivative of s(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 5\/2, -79?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + -1 + sqrt(700) - ((sqrt(28) + 2)**2 + sqrt(56)\/(sqrt(8) + sqrt(32)\/sqrt(4) + sqrt(8)))).\nAnswer: -29 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 10 - 4 - 6 to the form y*g + o and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*m - 28 = -7*m, 5*m - 10 = 5*c. Let x be (-9)\/((-1)\/c*1). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 814\/5 - 160. What is the common denominator of 55\/129 and n?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 8650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - 6188?\nAnswer: -6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 12. Let z = -2\/19609 + -1941275\/156872. Calculate the common denominator of z and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose -3*z - 2*v + 8 - 21 = 0, -23 = 3*z + 4*v. Which is the biggest value? (a) i (b) 4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3021 + -10?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112.69 - 112. Let l = r - 0.69287. What is l rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75306 divided by -154?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c - 2*c - 22 - 27 + 30. Let z be o(9). Sort 2, z, -0.5, 3\/7.\nAnswer: z, -0.5, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/12 + 5*j**3\/6 + 3*j**2\/2 - 2431*j. Let g(w) = -4*w**2 - 16*w - 10. What is -5*g(y) - 16*m(y)?\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846026.\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/(-16) - -4)*20. Let p(j) = 4*j**3 + 10*j**2 + 8*j - 8. Let r(i) = 5*i**3 + 11*i**2 + 9*i - 9. Let u(w) = 6*p(w) - 5*r(w). Does 6 divide u(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**(-4)))**13\/(a*a**6)**48 assuming a is positive.\nAnswer: a**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) + 1 + sqrt(50) + -2*sqrt(6050))*4)**2*4.\nAnswer: -9600*sqrt(2) + 720064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-8)\/(-114))\/((-10)\/(-15))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 321*f**2*o**2 + 538*o**2 with respect to f.\nAnswer: 642*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.912 times -7.8?\nAnswer: 30.5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321, -1276, -2873, -5118, -8017, -11576, -15801?\n\"Answer: -o**3 - 315*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 8 - (-18 + 22). Put q, -1, 4 in decreasing order.\nAnswer: q, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/24 + -1\/24. Let v = -179420\/37 + 105840151\/21830. Let h = -1\/118 - v. Which is bigger: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m + 29. Suppose 418 - 327 = -13*c. Let n(y) = -7*y - 19. Calculate c*n(v) - 5*s(v).\nAnswer: -v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 137, -0.0512, 4, 0.06 in descending order.\nAnswer: 137, 4, 0.06, -0.05, -0.0512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -322075.8 and 221.26873.\nAnswer: -321854.53127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105121155 (base 6) in base 16?\nAnswer: -b71fdf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5397*y + 3664565. Give m(-679).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62482683 divided by -4457.\nAnswer: 14019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 80 = -4*i, 15*u - 111 - 281 = 19*u - 17*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*j = -2*h + 21, 5*h + 3*j - 30 = 0. Find the third derivative of h*p**2 + p - 3*p**6 - p - 2*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + v = -3, -3*n - v = 3*v + 12. Suppose -2*p + 1 + 13 = n. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1641*z + 6512. Calculate i(4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10241.6856 to the nearest 10.\nAnswer: 10240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 66*y + 563. Give g(15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*i**2 + 43*g*i + 771*g*q**4 + 161*g*q**2 + 13*g - 8*i**2*q - 4351*i**2 - i wrt q?\nAnswer: 3084*g*q**3 + 322*g*q - 8*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22658 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 6*i**3 - 23*i**2\/2 - i - 1870. Determine l(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 294 and 294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**6\/1620 - i**5\/135 + i**4\/36 + i**3 - 8. Let r(j) be the third derivative of c(j). Factor r(h).\nAnswer: 2*(h - 3)*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2*q - 3. Let i be t(3). Let j = -122\/3 - -371\/9. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 14*w = 15080. Let l = w + 2897. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g + 7. Let q(u) = -30*u**2 + 7*u - 28. Let v(s) = -45*s**2 + 10*s - 40. Let a(b) = 10*q(b) - 7*v(b). What is a(r(i))?\nAnswer: 4860*i**2 + 3780*i + 735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - (-19)\/4. What is the remainder when (0 + 0 + 1)*(-108)\/(-12) is divided by w + 2 + (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52390 + 6496441\/124. Let r be (10\/15)\/((-62)\/9). Let o = r - l. Which is the nearest to -1\/2? (a) o (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3475*i - 6108*i**2 + 3475*i.\nAnswer: -6108*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.445 + -3.515. Let w = y + 0.07. What is the closest to 2\/3 in w, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57330 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -6*r**3 - 5840*r**2 - 7778*r - 1944 = 0.\nAnswer: -972, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 96 = -664. Solve 0 = 42*k - 23*k + h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*q**2 + 158*h + 3478*q**2 wrt h.\nAnswer: 2*h*q**2 + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -1. Let w = m - -5. Let p = 3.999984 + w. What is p rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3438373528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -287.\nAnswer: -287.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, 3, -1, -3\/32, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**5 - 23*u**4 + 27*u**3 - 13*u**2 + 2*u.\nAnswer: u*(u - 1)**3*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139284217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4143?\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1162415.7ns?\nAnswer: 0.00000032289325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 3:37 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 10*p**2 + 14*p - 2. Let f be w(-9). Let y = -49 - f. Let l = -23 - -23.1. What is the closest to l in -3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -4.2. Let v = 4.8 - w. Let o = -0.4 + v. Which is the nearest to 2? (a) -3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -260.5 - -260. Which is the biggest value? (a) 39 (b) 5 (c) -4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1576 - 2*f + 1575 + f**2 + 9*f. Suppose 17 + 23 = -5*z. Give t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2640*f**3 + 5*f**2 - 3*f + 20. Let a(h) = 1319*h**3 - 2*h**2 + h - 8. Determine -5*a(r) - 2*g(r).\nAnswer: -1315*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(3\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence assm when four letters picked without replacement from vsksavm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + -46. Let b = j + 75. What is the closest to 0.1 in b, 16\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2890*b = 1658 + 1232 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 79417.1 to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 611124 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1318 - -1327. Are i and 35\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {r: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)\/t**(-2\/87)*t*t*((t\/t**(-1))\/t)\/t*t*t**(-18\/11))**(-2\/11) assuming t is positive.\nAnswer: t**(22228\/10527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -775, -3308, -7529, -13438, -21035, -30320, -41293?\n\"Answer: -844*j**2 - j + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -122*b**2 + 4*b + 4. Let j(k) = 1829*k**2 - 59*k - 59. What is 4*j(c) + 59*t(c)?\nAnswer: 118*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9298847 is divided by 8873.\nAnswer: 8816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrrkrririiriikri. Give prob of sequence kki.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632*o - 21 = 1625*o. Which is greater: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 6:50 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**3 - 3*m**2 - 2*m - 3. Let o = 76 - 73. Let w(a) = 3*a + 23. What is the remainder when i(-2) is divided by w(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 120?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 8) in base 7?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8286 - -8286.1. Let k = -56 + 58.7. Which is bigger: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*-6*2*sqrt(272) + sqrt(272) + -1 + -5 + 6*(1 + sqrt(272)))**2 + -1.\nAnswer: 344*sqrt(17) + 502928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/1 - (7 + -7). Let y(s) = -7*s**3 - s**2. Let w be y(-1). What is the derivative of -x*r**2 - 4 + w + 0*r**2 wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -835, -3917, -10131, -20359, -35483, -56385, -83947?\nAnswer: -119051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2681*a**2 + 7157*a**2 + 13068*a**2.\nAnswer: 17544*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-414)\/6*(2 + -1). Suppose 0 = -3*d + 15 + 405. Let s = n + d. What are the prime factors of s?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, -1, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from mmznz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.59951 - -0.176678. Let i = -1.62283065 - z. Let h = 0.2 + i. Round h to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1264399, -1264400, -1264401, -1264402?\n\"Answer: -c - 1264398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 2:19 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 79. What is the highest common factor of 6 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 32*j - 903 = 6873. Calculate the greatest common divisor of j and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 193*x**5\/5 - 10*x**3\/3 + 11061*x**2\/2 - 2811. Find the second derivative of b(r) wrt r.\nAnswer: 2316*r**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 101*i + 2695. Determine o(32).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1701253, 1701202, 1701151, 1701100, 1701049?\nAnswer: 1700998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1840)\/(-11500)*65\/(-286).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - p + p + (4 - 5 + 2)*(-3*p + 3*p + p) + (-5 + 2 - 2)*((-2 + 2 - p)*(3 - 5 + 4) - 7*p - 2*p - p).\nAnswer: 59*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-58) + 90\/50 + 44896\/(-6670).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 - p**5 - 5*p**5 + ((-5 - 7 + 4)*(-5*p + p + 3*p) + 1 + p - 1)*(-p**4 - 2*p**4 + p**4).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3692 * -89.\nAnswer: -328588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(17\/(-2)) - (-3395)\/41225\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 2*a**2 + 5 - a**2 - 5*a**2 - 4*a**2 + 5*a**2 + (-3*a + 3*a + a)*(1 + a - 1))*(0*a - 2*a + 0*a).\nAnswer: 2*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 2*c + 25. Let n(k) = -k**3 + 4*k - 4*k**2 - 4 + 0*k + 2*k - 3. Determine n(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/((1 - 0)\/2). Suppose 2*r - 2 - 2 = 0. Suppose r*l - 2*p = 0, 0*p + t = l + 3*p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 - 3*l - 9. Let h be (-18)\/(-30) + 51\/15. Let f be a(h). Solve p - 3*r = f, 2*r - r = -2*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 44\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 13*v - 21. Let h be q(5). Calculate the highest common divisor of 361 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*p**2 - 44*p**2 - 26*p**3 + 3*p**3 - 6*p**3 + 2*p**3 + (-3*p + 3*p + 2*p**2)*(3*p - 4*p + 3*p) - 3*p**3 + p**3 + p**3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*r + 97*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 7*m = 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let n(y) = y**3 + 12*y**2 + 10*y + 3. What is the smallest common multiple of (3 - 2)*s*16 and n(-11)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15 - 1) + -130 + 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*d**2 - 80*d + 80*d - 2*d**2 - 2*d**2 + 3*d**2 + (3 - 3 + 2*d)*(-d + 4*d - 5*d) + 0 - d**2 + 0 to the form t + v*d**2 + k*d and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -71*j**3 + 6*j**2 - 12*j - 155. Let u(o) = 142*o**3 - 13*o**2 + 26*o + 311. Let k(s) = 13*d(s) + 6*u(s). Find the first derivative of k(n) wrt n.\nAnswer: -213*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 5?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 6. Let t be d(4). Let o(p) = -2*p**2 - 2*p + 1. Let m(f) = -4*f**2 - 5*f + 3. Let h(l) = t*m(l) + 5*o(l). What is the derivative of h(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/78)\/((-2)\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:40 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 3960 = 5*x + 73*x + 149*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (2 - 2 - 2). Let d = -55 - -57. Suppose 4*y + 3*a = 6, -4*y + d + 6 = 2*a. Calculate the greatest common factor of m and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 0*a + 0*a)*(-5*a**2 + 5*a**2 - 3*a**2) + 2*a**2 - 5*a**3 - 2*a**2.\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 15 - ((15 - 53) + 48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 49606836.\nAnswer: 1\/12401709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-5)*(1 - 11). Let c = -13 - i. Solve -c*f - 8 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002133108 rounded to six decimal places?\nAnswer: 0.002133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 20.2.\nAnswer: 141.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18028229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17188658 is divided by 543?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 2*q**2 + 3*q**2 - 2*q**2 - 9 + 4*q. Let d = 4 + -4. Let t = d + 0. Determine m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 - 2*f + 2. Let l = 0 + 2. Let a be v(l). Let c = -7 + a. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - -1. Suppose -4*r = -h - 18. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(288) + sqrt(288)*2)*5.\nAnswer: 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 80692725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/20)\/(((-7670)\/(-325))\/59).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/(-16))\/(1\/4). Let a = b + -5. Calculate the highest common divisor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129*l**6*v**3 - l**3*v**3 - 2*l**2*v**2 - 3*l*v - 7*v**3 wrt l?\nAnswer: 15480*l**3*v**3 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/38 bigger than 7.219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**7\/10080 + y**6\/2880 - y**5\/240 - y**4\/4 + y. Let z(n) be the third derivative of h(n). Factor z(o).\nAnswer: (o - 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/k**30*k))\/k)\/k**(-2\/45))**(-45) assuming k is positive.\nAnswer: k**(-1307)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10425, 41694, 93809, 166770, 260577?\nAnswer: 375230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 343 + -338. Let w be 1*-1 + (-30)\/(-34). Let v = 0.34 - 0.04. What is the third biggest value in v, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2948880 and -29\/737220.\nAnswer: 2948880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*q + 15, 0 = -2*q + 1836*c - 1840*c - 12. Suppose 3*b - a = 6, -3*a = -0*a. Let l be 0 + b\/((-10)\/3). Which is smaller: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10048 + 677 = 5*o. Suppose -11*i + 0*i = -o. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2062 + 1598 + w + 2*w + 554 to the form a + p*w and give a.\nAnswer: 4214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/3 - 60*w**3 + 4050*w**2 - 24*w. Find d, given that s(d) = 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11889 - b - 11889.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 353 + -16?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 3860*f + 247142. Give d(63).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2135 - 2?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3100, 25\/3, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 - (-8)\/(-28). Let z be s\/1 + 3 + -3. Suppose h = -z*h + 187. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -40*z**2 - 7*z - 71. Let q(h) = -13*h**2 - 2*h - 24. Let t(y) = 2*l(y) - 7*q(y). Differentiate t(x) wrt x.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010120112020201 - 1?\nAnswer: -1010120112020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2 + 7*r + 2. Let f(z) = z**2 - z - 1. Suppose 2 = -5*a + 7. Let p(y) = a*s(y) + 5*f(y). Determine p(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34267, -68490, -102713, -136936, -171159, -205382?\n\"Answer: -34223*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -136, -2\/21, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -1309?\nAnswer: 12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 8. Let c be a(-6). Let k be (-3)\/(55\/(-10) - -4). Suppose -s - z = c, -k*s - 1 = 4*z + 7. Solve s = -3*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 0 + 1)*-4. Suppose h*b = 2 + 6. Suppose s - 4*d = 30, 0*d = -2*s - b*d + 30. What is the lowest common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 9*s - 56. Let d be o(-21). Let n = 305 + d. What is the fourth smallest value in n, 1, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50352 divided by 2098\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(110)*-1 - sqrt(110)) - sqrt(110))\/(sqrt(11) + -2*sqrt(396)))\/((sqrt(162) - (sqrt(162) - -2*sqrt(162))*4)*-6))**2.\nAnswer: 5\/4743684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) 4 (c) -8\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -29 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4434 - -7626. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = 9*t - 3*t. Let d(x) be the first derivative of -1\/4*x**4 + 0*x + t*x**3 + 3 + 1\/2*x**2. Find the second derivative of d(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 - 556*w**3\/7 + 4118*w**2 - 55992*w\/7 + 3960 = 0. Calculate w.\nAnswer: 1, 66, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 357559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2 - 7575247*r - 149140703.\nAnswer: -2*r - 7575247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3691, 7384, 11077?\nAnswer: 14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126 or 120?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56768 = 12*a - 706996. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -42*u**2 - u + 101. Let t(o) = -29*o**2 - o + 100. Give -2*j(l) + 3*t(l).\nAnswer: -3*l**2 - l + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 7:06 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213630.5 - -213631. Let a = -0.02 - 0.38. What is the closest to -1\/2 in u, 15, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-98)*7)\/(52\/455))\/((-2)\/(-44))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 36154365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-127 - -112 - (-2 + -20)) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xop when three letters picked without replacement from {x: 3, p: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - (-21)\/(945\/(-318)) - -1\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 4, 80.\nAnswer: -63, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0857 and 32.\nAnswer: 32.0857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 681\/18 - 3\/(-18). What is the greatest common factor of 95 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -830 or -833?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2277881545?\nAnswer: 5, 421, 1082129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 23 + 37 = 0. Suppose -k = 3*d - 56, -2*k - 2*d - 3*d + 109 = 0. Suppose s = k - c. Calculate the highest common divisor of s and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/144 and 13\/24.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = c + o, o + 16 = 5*o. What are the prime factors of c?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094041476 to the nearest integer?\nAnswer: 33076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 16*u**2 - 19*u - 50. Let n be s(-17). Suppose -6*k + 4*k = -124. Calculate the remainder when k is divided by ((-2)\/(-4))\/(n\/(-544)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/258 + 1\/43. Let h(k) be the third derivative of 0*k**4 - t*k**3 + 0 + 0*k - k**2 - 1\/30*k**5. Find the first derivative of h(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15736 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*c**2*g*u - 18*c**2*g - 20760*c**2*u + 62218*c*g - 17*c*u - 6*g*u wrt c.\nAnswer: -92*g*u - 36*g - 41520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - (-206)\/(-14). Let z = r + 28. Calculate the remainder when z is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 7*c**2 - 2*c + 24. Let s be y(-5). Let r(q) = 2*q**3 + 30*q**2 - 32*q + 5. Let p be r(s). Solve 6 = -p*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.729216 rounded to 1 decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 529911 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 533 and 2601196?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 2*j**4 + 2*j**3 + 3989 - 2678 + 12*j**2 - 10*j**2 to b + s*j + r*j**2 + q*j**3 + u*j**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-12))\/(1\/183)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - -29. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 2*o - 346. What is the highest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - 5. Let v = x + 9. Let u(a) = -29*a + 8. Is u(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 - 24*o - 4. What is v(-5)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10000*(4 + 1341\/3*-2). What is k rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1456914, -1456928, -1456942, -1456956, -1456970?\n\"Answer: -14*r - 1456900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1103*z + 40907 - 49731 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**8\/13440 + u**7\/1344 + u**6\/720 - 113*u**3\/6 - 14*u**2 - 2. Let m(o) be the first derivative of a(o). Factor m(q).\nAnswer: q**2*(q + 1)*(q + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*j - 16 = -0*j, 0 = -3*o - 3*j + 15. Suppose -1 = -2*n + v - 0*v, -o*n + 3*v = 5. Let i(l) = n - l + l - 2*l. Give i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1366144 to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**3\/6 + 3*p**2\/2 - 17*p. Calculate u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16228.\nAnswer: 2, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 3*p + 0*p)*(-1602*p**3 + 797*p**3 + 792*p**3) as u*p + x*p**2 + z*p**3 + m*p**4 + n and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6058 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -976\/3 + 21595\/66. Let f = -541\/102 + 144\/17. What is the common denominator of f and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -104. Suppose 2*y = -4*r + 36, 7*r = 2*r - 2*y + z. Suppose 2*h + 2*v - 5*v - 14 = 0, -4*v = -h + 7. Is h bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**2*x**3*z - 5*f**2*x**3 - 12*f**2 - f*x**2 + f*x*z + 2*f*z + 26*x**3 + 1 wrt f?\nAnswer: -44*x**3*z - 10*x**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(135) - sqrt(135) - sqrt(15) - sqrt(15))\/(6*(sqrt(5) + sqrt(5)*-1 + sqrt(5))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzsszskkzssksszkss. What is prob of sequence ks?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = -16. Suppose -w*q + 9*q = 4. Suppose 12 = v + 2*v. Solve -2 = q*i - v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5 - 148\/8*-110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + 10\/4. Suppose 0 = -l - o*l + 20. Solve j - l*p = 23, -3*p = -j + 1 + 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 3*a + 40 + 34 - 110.\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 374249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 7 - 14)*(-x**2 - 6*x**2 + 2*x**2)*(3*x - 6*x + x + 2) in the form r*x**3 + u*x + j + f*x**2 and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 7*h**2 + 5*h - 64. Give w(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 895 and 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 6605\/552?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 5:29 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 2386004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**5 - 28*l**4*w**3 + 2*l**2*w**3 - 4*l**2*w**2 + 33*l*w**3 wrt l?\nAnswer: 240*l**2 - 672*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u - 5120. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 478*c**3 + 2.\nAnswer: -478*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 7785 = 1812. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3057*g - 764406. Give h(250).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9 = -2*l. Let q(x) = -3*x**3 - 3. Let j(u) = 3*u**3 + 4. What is l*j(b) + 4*q(b)?\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*p + 165*p = -12. What is the nearest to -0.1 in 13, -0.3, 1\/2, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.81 (b) -0.5 (c) 74 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 131 = 209 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b - 4. Let u(m) = -4*m - 2. Let r(h) = -3*n(h) + 5*u(h). Let k be (-2)\/((8\/6)\/(-2)). What is the units digit of r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkgrkn. Give prob of sequence kon.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-4)*84\/(-20790)*-18?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39856 by -106.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 26*j**2 + 19*j - 1. Is i(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -19*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 2*l**3 - 78990*l**4 + 78989*l**4 - 4 + 13*l**3 to m*l**3 + f*l + r + a*l**4 + y*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54\/540 - 11989\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 2. Let c(r) = -2*r + 2. Let s(y) = -4*c(y) - 3*p(y). Suppose 3*n + f = 10, -8 = -3*f + 4. Let b(x) = 4*x + 7. What is n*b(k) + 7*s(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 72. Let v = -12 - n. Let r = -2 + v. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 z when three letters picked without replacement from {s: 4, r: 2, k: 1, z: 1, i: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -14) + 10 - 0\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -762977, -7, 5 in descending order.\nAnswer: 5, -2, -7, -762977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634 is divided by 1875?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37911, 67525, 97151, 126795, 156463?\nAnswer: 186161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 148 + 33c58?\nAnswer: 33da0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 299093.\nAnswer: 2\/299093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r - 2. Let g = 2786 + -2785. Let k(y) = y. What is g*j(c) - 10*k(c)?\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 5525.481537 rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 19*u = -18. Suppose -2*h + u*c = -191, -5*h + 5*c = -9*h + 349. Let f(t) = -t**3 + 10*t**2 - 6*t + 10. Let q be f(8). Is q bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by (0 - -1)\/(12\/228)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 - 33*o**2 - 26 + 26 to the form z*o + h + t*o**2 and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1212 and -29\/1111?\nAnswer: 13332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 369 and 7723\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) - (-6)\/90*3. What is the nearest to 0 in 0.4, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 902*w + 4761 = -21397 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 39*q**2 + 34*q**2 + 93 + 39*q**2 - 42.\nAnswer: 34*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*-1*3. Let j = 13.6 + -14. What is the second biggest value in s, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (39 - -2) - (969 + -987)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*-1*4\/(-8). Let l be 50\/(-6) + w\/6. Does l = -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1109, -1097, -1081, -1061, -1037, -1009, -977?\n\"Answer: 2*j**2 + 6*j - 1117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssshusruuuhrulusk. What is prob of picking 1 l and 1 r?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 319 = 37. Suppose 5*d = 57 - h. What is the nearest to -0.1 in -0.4, -0.01, d?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35981471, 71962946, 107944415, 143925878?\nAnswer: 179907335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/11 - 21088*u\/11 + 697344 = 0.\nAnswer: -10896, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -90*v. Let g(s) = -2947*s**2. Determine g(h(f)).\nAnswer: -23870700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9625 is divided by 1633?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*m - 42*m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 0*y + 2*y - 387 - 46 + 4*y to the form k*y + s and give s.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-15) + 142\/10. Let f = h - -1. Let t(p) = 8*p + 262. What is the remainder when f is divided by t(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = 3*f. Let y = 12 + f. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 160*u**2 - 1 + 17*u - 83*u**2 + 17*u - 84*u**2 in the form x*u**2 + p*u + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 233776028 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84.64 + -0.64. Let m = s + -83.99992. Round m to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from gxxxgggggxxg?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37239.6244 take away 713?\nAnswer: 36526.6244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-363)\/(-189) - 2 - 6\/(-27).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x. Let v be h(4). Find the third derivative of -v*a**3 + 5*a**3 + 4*a**3 - 11*a**2 wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 168, 597, 1446, 2859?\n\"Answer: 24*r**3 - 6*r**2 + 3*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -805, -5212, -16833, -39274, -76141, -131040, -207577, -309358?\nAnswer: -439989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175605 by -6.\nAnswer: -58535\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 26*p**2 + 9. Let d be 48\/84*((-28)\/8)\/(-1). Let q(f) = -6*f**2 - 2. Let r(t) = d*j(t) + 9*q(t). Let l(a) = -3*a - 3. Give l(r(g)).\nAnswer: 6*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-650)\/104 + (-2808)\/(-480)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/2 + 35*y**3 + 1267*y**2\/2 + 1131*y = 0.\nAnswer: -39, -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 9) to base 3\nAnswer: -101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*a**2*g**3 + 102*a**2*g**2 - 5*a*g**4 + 5*g**2 wrt g.\nAnswer: 684*a**2 - 120*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 4*h - 4*h + (1 + 2 - 2)*(3*h**3 + 18*h**3 - 2*h**3) in the form l*h + n*h**3 + u*h**2 + a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7695 and 2565?\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 404153 (base 7) to base 6\nAnswer: 1245555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + 2*h - 2. Calculate a(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 23*u**3 + 46*u**2 - 309*u + 29. What are the prime factors of d(8)?\nAnswer: 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - 13*v + 21*v)*(-7*v**2 + 1 + 9*v**2 + 1).\nAnswer: 28*v**3 + 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3794.997 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from srpspy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (0 + -1)*-1. Suppose -5*k + 8 = -4*u, -o*u - 2*k - 2*k = -28. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 5, 3, -0.64, 1 in ascending order.\nAnswer: -1.5, -0.64, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -5*f**4\/24 + f**3 - 4*f**2. Let y be h(-6). Let c be 50\/(-50) + 1*55. What is the greatest common divisor of c and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5340 = -740*d + 752*d. What is the highest common factor of d and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87662320?\nAnswer: 2, 5, 1095779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogghggoggggoooohgoq. What is prob of picking 2 o?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-2\/9))**(-6\/11)\/(q**5)**1 assuming q is positive.\nAnswer: q**(-215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-24)\/k))\/(k*k**(-40)*k) assuming k is positive.\nAnswer: k**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Suppose 5*i - 4*c - 18 = 0, -3*i + 3 = 2*c + 1. Suppose 5*r + i = 4*r. Is w at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106358 = -2121*u - 4550 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228618171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 4*b**2 - 1\/6*b**3 - 2*b + 0. Let f be a(6). Solve f*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 33. Let w(f) be the third derivative of f**5\/60 - f**4\/6 - 7*f**3\/3 - 2*f**2. Is w(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-150)\/4)\/(237\/(-158)))\/(4 - 5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 7, h: 1}. What is prob of sequence uu?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 1620?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i)\/((i*i\/(i\/((i\/i**(2\/15)*i)\/i)))\/i)*i*i*i*i*(i\/(i**(3\/5)*i)*i)\/i*i*i*i**7 assuming i is positive.\nAnswer: i**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*d**3 + 8*d**3 + 24*d**3 - 5*d**4 - 61*d**3 + 314 wrt d?\nAnswer: -20*d**3 + 81*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 28*w = -2*p + 12, -w = -2*p. Solve -28 = 26*a - 22*a + 2*c, c = -w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 - -13. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6593 - 92221\/14. Let r = 1027507\/134442 - -1\/9603. What is the common denominator of r and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8233909*h**3 + 7438*h + 236?\nAnswer: -49403454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6857225303 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*-5)\/(sqrt(36)\/((sqrt(16)\/sqrt(4) - sqrt(4)) + sqrt(4) + sqrt(4))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - 3*q**5 + q**5 + (4 + 0 - 2)*(2*q**5 + 4*q**4 - 4*q**4) - 3*q**2 + 2*q**5 + 3*q**2 + (-q - 1 + 1)*(5*q**2 - 5*q**2 + q**4).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173 (base 12) to base 10.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/611843914 or 0?\nAnswer: 1\/611843914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 5:29 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10347 = -156*b + 7071 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 9 + 134. Let b(f) = f**3 + 9*f**2 + 4*f - 7. Let i be b(-6). What is the greatest common factor of m and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 63 = -8*o - 59 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.3\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -7, -4995 in decreasing order.\nAnswer: -7, -61, -4995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.4953018*-6\nAnswer: -14.9718108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 43*f**2 + 17*f + 47. Is z(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88.51 - -11.81. Let j = q - -73.714. Let a = j + 3.1. Round a to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 11. Let c(f) = -4*f + 7. Let y(b) = 7*c(b) + 5*q(b). Determine y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, g: 4}. What is prob of sequence qgg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -186 + -108052?\nAnswer: -108238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-15))\/((-4)\/10). Let b = h + -2. Let x = b + 4. Let n(i) = -i**3 - i + 5. What is n(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 3)*(0 + 2 - 9) - 6 + 0 + 1 - 131 + 255 - 188)*(-2*t - 3 + 3) in the form c + n*t and give n.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + -46. Let l be (-1)\/(n - (-20)\/((-4)\/(-1))). Which is greater: l or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11 + 4 - z + 0. Suppose 0*x - 12 = 2*x. Let d be f(x). Put d, 0, 3 in increasing order.\nAnswer: d, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87029285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 248, -6\/5, -142, -0.1, -4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 35136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*g - 23*g - 33*g - 9*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15057 + 294.84943. Which is the smallest value? (a) 4\/9 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -294 at most as big as 1\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*-2*6\/60\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-1)\/(-2)) - 2. Suppose -4*r = -2*m - 26, u*m - m + r - 11 = 0. Calculate the lowest common multiple of 16\/72 + (-97)\/m and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000 (base 3) in base 14?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-582*(-232)\/1732808)\/(4\/(-7)*9\/(-4)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -277, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4690512 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 158.153t?\nAnswer: 158153000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50646 (base 9) to base 4\nAnswer: 20020311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 9*l**2 - 8*l + 10. Let z be c(8). Suppose 0*j = 2*j - 50. What is the greatest common divisor of j and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168107*f**2 + 82*f + 55310126 with respect to f.\nAnswer: -336214*f + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819888.\nAnswer: 2, 3, 19, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 11556*y**3 + 16471634*y**2 + 638492112*y + 6105567008.\nAnswer: 2*(y - 2908)**2*(y + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 2 (b) -10518 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 5 - 5 + (0 + 0 + 3*s)*(6*s**2 - 3*s**2 - s**2) - 9*s**3 + 19*s**3 - 12*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 2. Let y be p(-3). Let q(j) = -2*j + 5. Let w be q(y). Solve 2*t = 0, 3*x + 3*t = t - w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*a + 15, 2*a + 3 = f - 0. Let z(t) = t**3 - 2*t**2 - 7. Let b be z(f). Find the third derivative of 6*h**3 + 4*h**b - h**2 - h**2 wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8168 or 8496?\nAnswer: 8168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:06 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + (-14)\/(-4). Suppose u + 15*u = -4*u. Let c(q) = q**2 + 5*q + 2. Let b be c(-6). Solve u = -k + v*k - b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 47\/4 of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 4)*(-1)\/6. Let g = 69\/320 - 1\/64. Which is the third smallest value? (a) g (b) v (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -256, -565, -994, -1543, -2212?\nAnswer: -3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 3*h + 4*x, 2*h - 3*x = 6*h - 82. Let c = -19 + h. Suppose c*m + m - 14 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 21 + 14. Let q be (3 + r)\/(2\/(-6)). Does 23 divide ((-138)\/4)\/(q\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -6 (c) 0.3 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 11*g - 18. Let y(p) = -p**2 - 11*p + 17. Let x(t) = 4*k(t) + 3*y(t). Does 17 divide x(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - i + 9 = -2*z, 2*z + 4*i = 0. Find the third derivative of -m**5 + m**5 + 7*m**6 - 3*m**z + m**6 wrt m.\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (3 + (0 - 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -63\/2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziizdzzedt. Give prob of sequence zie.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*r + 144, -29 + 137 = 3*u - 4*r. Let b(t) = t**3 - 5*t**2 - 3*t - 4. Let v be b(6). Let m = 4 + v. What is the greatest common factor of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4351*b + 4371*b + 360 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*x = -2754 + 514, -3*x = 3. Let l = b + -428. List the prime factors of l.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5504\/13 + 387061\/910. Calculate the common denominator of 101\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134190 divided by 426?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*f = -671512, 268608 = d - 3*d - 2*f. What is d rounded to the nearest 1000?\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2420 and -51\/1936?\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o**3 + 34*o**2 + 165*o + 2. Let c(r) = 10*r**3 - 34*r**2 - 165*r - 3. Let h(n) = -2*c(n) - 3*j(n). Find the second derivative of h(f) wrt f.\nAnswer: 24*f - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 1 (b) -0.6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -2*y + 21. Let i be 33\/4 - -1*y\/44. Solve 6*g - i = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 130 - 346*k**2 + 67.\nAnswer: -346*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 2 k when four letters picked without replacement from {w: 4, r: 2, h: 3, k: 6, u: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/3 + 710*g**2 + 375936*g - 2281248 = 0 for g.\nAnswer: -1068, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 7) to base 14\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45\/28 (b) -0.5 (c) -422\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n - 5*q - 35 = 51*n, 2*n - 2*q + 22 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 75601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 24991.417645.\nAnswer: 24991.427645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70 - -3429) + (0 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 - 1.77. Let z = -1.7 - c. Let b be 3\/6*(1 + -1). What is the third biggest value in z, b, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 times -0.07?\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/(6\/(-18))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2997 - 23135*x**2 + 24696*x**2 - 13164 wrt x.\nAnswer: 3122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1534193295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19950 and 4312?\nAnswer: 6144600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72879 and 45?\nAnswer: 1093185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/9, -3\/7, -448, -29 in decreasing order.\nAnswer: 2\/9, -3\/7, -1, -29, -448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/38, 0.0464, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 5. Let f be i(9). Suppose w = -y + 2, -1 - 1 = -w - 4*y. Suppose -w*t - f = -18. What is the least common multiple of t and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**4 + 9*x**3 + 12*x**2 + 4*x. Let y(m) = m**4 + m**3. Let u(h) = -q(h) - 3*y(h). Factor u(n).\nAnswer: -4*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 - 11617*r**3 + 11616*r**2 = 0. Calculate r.\nAnswer: 0, 1, 11616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -21. Let t = -24.06 - d. Let x = 0.21 - t. Round x to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 4*q + 5. Let t(g) = 4*g**2 - 7*g - 9. Determine -4*t(m) - 7*x(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -41974700 to the nearest one hundred thousand.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqqzqqkzq. What is prob of sequence qk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + c**3 - 2*c**4 + 2*c - 315*c**2 + 315*c**2 as b*c**4 + h + v*c**2 + n*c**3 + k*c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 808 + 796 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/1)\/((-17)\/((-170)\/(-30))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.76 and -3.5.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 22\/6)\/(18\/54). Suppose w - u = 4*w - 2460, -2*w + z*u + 1623 = 0. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**2 + 32*q + 48. Let t(l) = l**2 + 6*l + 9. Let g(p) = 2*n(p) - 11*t(p). What is g(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/15)\/((-75)\/(-250))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 4, 0, -5, -2 in ascending order.\nAnswer: -103, -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**2 + 0*x + 18*x**2 + 0*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 4) to base 2.\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r + 2*r - 5*r)*(-23*r - 2*r - 7*r) - 5*r**2 + r**2 + 10*r**2)*(-4 + 10 + 3*r - 8).\nAnswer: 114*r**3 - 76*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -2*v - 8, 2*m - 319*v = -323*v - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 4. Suppose -2*b + 2 = -2. Let f be d(b). Let n(s) = 3*s + 2*s - s**f - 5*s. Let x(o) = -6*o. Calculate n(x(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 42 = -3*a. Let m(b) = b**2 + 3*b + 1. Does 19 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 b, and 1 j when four letters picked without replacement from avvajb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129049, 129048, 129047, 129046?\nAnswer: 129045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31333109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 28*y**2 + 5*y - 87. Let l(m) = 142*m**2 + 26*m - 433. Let j(c) = -2*l(c) + 11*s(c). Find the first derivative of j(n) wrt n.\nAnswer: 48*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -106678 divided by 373?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/3 - q**4 + 3*q**3 - 5*q**2\/3.\nAnswer: -q**2*(q - 1)**2*(q + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18364404 by 4591101.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-3))\/((-4)\/6). Suppose -2*p = -6*p + 4*d + 56, -d + 34 = w*p. Calculate the remainder when 63 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-888)\/(-81))*3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157986509 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: Let t(f) = -f**2 - 259*f - 2243. Calculate the smallest common multiple of t(-9) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/(-20)*2*(-1555)\/(-6842)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 516210 (base 7) to base 2\nAnswer: 10101101000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 4*d**2 + 2*d + 1. Let x be l(-3). Suppose -2*s + 24 = x*s. Suppose s*i - 13 = 3*i. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + 5*((sqrt(216)\/sqrt(8))**2 + sqrt(27))*-1.\nAnswer: -133 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (1 + (sqrt(475) + 3)**2 + -5)*3 + 0).\nAnswer: 450*sqrt(19) + 7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -2\/5 (c) -20.0406 (d) 1\/34 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25.848. Let q = 0.151999758 - p. What is q rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/6 - 9*d**4\/2 + 151*d**3\/6 - 75*d**2\/2 + 50*d\/3 = 0.\nAnswer: 0, 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4104)\/(-240)*(-30)\/108\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 42. Let j = 22 + k. Let c = j + 1. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*b**2 - 2*b*w + 18*w wrt b?\nAnswer: 46*b - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y + 5. Let c(r) = 57*r + 21. What is 21*a(t) - 5*c(t)?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/3 + 11*z**2\/2 + 16*z - 11. Is q(11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**5\/2 - 690*x**4 + 44817*x**3\/2 - 206727*x**2 + 473718*x - 288708 = 0.\nAnswer: -491, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-292)\/(-14))\/(-2) - (-410)\/(75 - 34).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 19236.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2)\/(-6)*4. Suppose -d - n + 23 = 0. What is the units digit of 2\/(-7) + 153\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/81733 + 163472\/245199. Let l = -0.3 + 0.5. What is the closest to l in -5, g, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-1)*a)\/a))**(-5)\/((a**(-3\/8)\/a)\/(a*a**(1\/5))) assuming a is positive.\nAnswer: a**(-97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o = -166 + 75 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 819*p - 193. Let t be y(7). What is t rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*z - 100, 4*a - 140 = -0*a - z. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1701800?\nAnswer: 1701800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19a4 (base 11) to base 14\nAnswer: cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*4*sqrt(325)*-1 + (0 + sqrt(325)*2)*5)*-1.\nAnswer: 4 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1122362779 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/67, 7, -16?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859414 to the power of 1\/2, to the nearest integer?\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 9 - 7 = 5*p, -p - 4*y + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-6))\/(-14*94\/329)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(2079\/4202) - (-108)\/(-15 - -9)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*r - 0*r - 19, -4*r + 23 = -5*l. Let s(j) = -2 + j + 0 - r - 5. Let c be (4\/(-8))\/(-1)*0. What is s(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1356 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -35.5. Let k = -29 + 5. Let q be (-1)\/6 - k\/(-18). Which is the closest to q? (a) o (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + f - 4. Let w be 1394\/(-8) - 3\/(-12). Let h = w + 252. Let a be (-4)\/(-10) - h\/(-30). Determine p(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346997089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 99607\/32, 2\/5, 3, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 8:51 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66583.\nAnswer: 11, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*k*o**5 + 2*k*o**4 + k - 2*o**2 - 16*o wrt o?\nAnswer: 1920*k*o**2 + 48*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-42) + (-2)\/7. Suppose -11 = 4*m - 27. Let o(b) = b**k + m*b**2 + 8*b**3 - 3 - 7*b**3 - 2*b. Give o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1399.3 - -1399. Let k = -114\/5 + 23. Let l be -3 - ((-55)\/15 + 1). What is the closest to -10 in k, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5937, -11074, -16209, -21342, -26473, -31602?\nAnswer: -36729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 748 + 4 = -3*p, -79*d - 86 = -2*p - 153*d + 72*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*h = 157185 - 154785 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 8:57 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1768 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-12) - (-77)\/2. What is the common denominator of (h\/(-8))\/((-10)\/(-8)) and 13 + -10 - 130\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + z - 3)*(4 - 2 + 10*z**2 - 8*z**2) in the form y + f*z**3 + o*z + a*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 27. Calculate the greatest common factor of 38 and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -0*p + 756. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 152814689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -865.130036 - -865.1. Let v = 0.03 + 0. Let i = g + v. Round i to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 562*t = 566*t + 14591, 4*t = -20. Calculate the remainder when l is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 4) + (0 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3706506 - -2483494. What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -12.479952\nAnswer: 11.2319568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1*1398\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179791935*k**2 - 10*k + 557996 wrt k.\nAnswer: -359583870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 6 = -o. Suppose -3*i + 531015 = 3*r, -2*r + 708010 = o*i + i. What is i rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/360 and 731\/(-17)*4\/(-2520).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1560222 and 324.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 7*q + q)*(-q + q**2 - q**2 - q**2 - 1).\nAnswer: 5*q**3 + 5*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*u + 62, 0 = -5*u - 18 + 3. Let x = r - -27. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/7, 3, 18\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - s + 7 = 9*g, -5*g + 4*s = -22. Let b be (16\/(-48))\/(38\/(-18) + g). Solve 2*d + m = 3, -b*d = d + m - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bnmtnbnnbtfm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/16)\/((m\/m**(-2)*m*m)\/m))**5*(m**(-2\/9))**(3\/10)\/(m**7\/((m*m*m**0*m)\/m)) assuming m is positive.\nAnswer: m**(-5791\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 320, 448, 574, 698, 820, 940?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/35 + 1261033\/5. Let y = -512207 + o. What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0784818036 to four decimal places.\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 4*w + 4. Let r(b) be the third derivative of -b**5\/15 - b**4\/8 - b**3\/2 - 14*b**2. Suppose 33 = -4*j + 15*j. Calculate j*s(u) + 4*r(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 6*f - 1. Let x be i(-5). Suppose -2*n = 143 - 137. Let l be (-530)\/(-110) - n*4\/66. Sort l, -3, x in ascending order.\nAnswer: -3, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m - 189 - 60*m - 55*m - 58*m + 283*m - 54*m.\nAnswer: -2*m - 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00187748141 rounded to 5 decimal places?\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -72701, 4, -4 in ascending order.\nAnswer: -72701, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13067846*q**2 + 5111408 wrt q?\nAnswer: 26135692*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 77\/127932312?\nAnswer: 127932312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 9*h**2 + 363*h + 351.\nAnswer: -3*(h - 13)*(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 5*h + h)*(-1 + 0 - 1) + 3*h + 3*h - 5*h + 0*h - 2*h + 0*h - 41 + 41 + 11*h + (0*h - 6*h + 3*h)*(0 + 2 + 0) to s*h + f and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 22714 in increasing order.\nAnswer: 2, 3, 22714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 92\/28 + (-4)\/14. Let k(p) be the first derivative of -p**3\/3 + p**2\/2 + 2*p + 2. Determine k(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 576 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 - 117. Suppose -4*s = -4*m - 24, 4*m + 3*s + 2 = -1. Sort m, 1, g, -0.02 in ascending order.\nAnswer: g, m, -0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 30, -13, -96, -231, -430?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a (base 15) in base 4?\nAnswer: -33220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 2*sqrt(99))*2 - sqrt(99) - sqrt(99) - sqrt(99))\/sqrt(9).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-508*f + 269*f + 258*f)*(-f - 2 + 2)*(-1 + 1 + 1).\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5549 + -5546. What is the smallest value in 1\/8, h, -155, -1\/5, -0.4?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*(-1)\/(-3)*(-30)\/25. Solve -2*x - h = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 91*y - 6650. Determine q(73).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/21*18*-8 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 8:00 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/3 - 48*w**4 + 2444*w**3\/3 + 1776*w**2 + 2738*w\/3.\nAnswer: 2*w*(w - 37)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 - 680977*z + 927459349058.\nAnswer: (z - 2723908)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 n when three letters picked without replacement from {l: 1, r: 3, n: 3, o: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26157240 divided by -904?\nAnswer: -28935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792698?\nAnswer: 2, 3, 509, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100641025?\nAnswer: 5, 277, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358772 and 27756?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 567\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 20. Let i be 4 + -1 + 1 + -1. Calculate the remainder when (39 - i\/1) + -3 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 12 = 3*h, -3*h = z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10397 is divided by 317?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:39 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*r - 10 = 0, -j + r + r + 5 = 0. Let z = 1293 + -1300. What is the smallest value in z, j, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 (base 10) in base 5?\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 42 + (-33457 - -33347).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 86944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 0.09 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - (-2 + 7 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2001.03557 to the nearest integer.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9180829699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/2 + n**4 - 19*n**3\/2 - 10*n**2 = 0.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -9, -1, 2 in descending order.\nAnswer: 22, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 74565 + 74551 = 2*w, -4*w - 56 = q for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k. Let p = -53 - -54. Let x(l) = -l**2 - l. What is p*s(d) + 10*x(d)?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/7, 1\/4 in decreasing order.\nAnswer: 5, 1\/4, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 2*l + 10. Let f(g) = 3*g**2 - 2*g + 10. Calculate 4*f(j) - 5*y(j).\nAnswer: 2*j**2 + 2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 8*a**2 + 5*a + 34. Determine x(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006*d - 13 = -2030*d + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j + 5. Let v = -10 - -14. What is the units digit of l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.61 * 3\nAnswer: 13.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 + 203415*w**3\/7 + 72647*w**2 + 406821*w\/7 + 101705\/7 = 0.\nAnswer: -101705, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -155, -148, -141, -134, -127?\n\"Answer: 7*p - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 16045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682.743545 seconds in weeks?\nAnswer: 0.0027823140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16fe3 (base 16) in base 2?\nAnswer: -10110111111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:10 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 23*g + 13. Let x(n) = 2*n - 8 + 6 + 9*n + 8. Let i(r) = 6*u(r) - 13*x(r). Let s(o) = -2*o. Give s(i(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -50 - 0. Suppose -o*p + 3*p = -84. Calculate the highest common factor of 96 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxxxxwxx. What is prob of sequence xwxw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2439744, -2439808, -2439872?\nAnswer: -2439936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l + 2*d = -6, -1 = l + d. Let a be 14\/6 - l\/(-12). Solve -a*z + 1 = -9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.048 (c) -0.2 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12609\/4180 + -216\/209. Calculate the common denominator of x and (132\/(-18))\/11*3 + 1412\/600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 116*r + 135*r + 13.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/6 - 43*i**3\/3 - 355*i**2\/6 - 224*i\/3 - 30 = 0.\nAnswer: -2, -1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/10, 18, 1941, 1\/6, 5?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*l - 3*l - 18, -3*d = -2*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.47909457102 + -0.05.\nAnswer: -6.52909457102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 2*a)*(3 + 3 - 2) + 3*a - a - a + (-2 + 1 - 2)*(5 + 2 - 1)*(-2*a + 5*a - 5*a).\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7050)\/(-675) + 8\/(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**3*l + 2*d**3 + 10*d**2*l + 52583*d**2 - 256808*d + 782*l wrt d.\nAnswer: 30*d*l + 12*d + 20*l + 105166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-1)\/(-6) - 100\/(-6). Suppose i = 2*s - 26, -5*i + i = b. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 154, -7\/10, 2, -2?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 9, 4, 2\/25, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-219)\/(-195) - (-17)\/221. Solve -14\/15*h**3 - 2*h**2 + 0 - 2\/15*h**4 - w*h = 0 for h.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(200) + 5*sqrt(200)))**2 - (5*(sqrt(200) + 2*sqrt(200) + sqrt(200)))**2*-5.\nAnswer: 2160*sqrt(2) + 464836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 6. Let b(p) = 27*p + 20. Give b(y) - 4*t(y).\nAnswer: 31*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 3\/4, -385?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -22 - 2556\/(-117) - (-403056)\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-11)*p)\/(p\/(p\/(p\/p**(-4\/11))*p))*p\/(p**(-9)\/p)*p\/p**10)**(-2) assuming p is positive.\nAnswer: p**(162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8*r = 3*r - 9, 3*r - 15 = -j. Suppose 4*b = -2*d + 1072, -j*d + 3*d = -4*b - 1568. Suppose -3*o = -c - 521 - 275, -2*c = 2*o - d. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-6)*50\/525?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)\/(u*u**(5\/4)))\/(u\/(u*u\/(u\/((u*u**(-2\/3))\/u*u))))**1 assuming u is positive.\nAnswer: u**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85587338.\nAnswer: 2, 42793669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274 and 31921.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 1. Let f(p) = -5*p**2 + 6*p + 18. Let x(d) = f(d) - 6*r(d). Let z be x(-11). Let o = -22 + z. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 3*l**3 - 4*l**3 - 2*l**3 + 4*l**3.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11382.999991821 + 11383. Round j to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + -31. Let s = h + -4. Let o be (-1)\/(-6) - s\/(-33). Which is smaller: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -5\/3 (c) 0.2 (d) -6\/13 (e) 96 (f) -2 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 5*v - 5*v)*(-4*v**2 + 5*v**2 - 2*v**2) + 3 - 3 + v**5 + (3*v**3 - v**3 - 4*v**3)*(0*v**2 + 4*v**2 - 3*v**2).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 5*d + 3*y, -5*y - 15 + 44 = 5*d - 21 - 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrqccfq. What is prob of picking 2 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 5*t + 31.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10841148567 + -4?\nAnswer: 10841148563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -2, 0, -1, -11 in ascending order.\nAnswer: -116, -11, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -10. Let c be (-41)\/r*(-2 - 0). Let l = -29 - c. What is the remainder when 22 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:17 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u + 8*u + 23*u + (-5 + 2*u + 5)*(-4 + 3 - 1) + (-3 - 2 + 4)*(0 - 2*u + 0) + 3*u - u + 0*u in the form a*u + w and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 1, -3 in increasing order.\nAnswer: -3, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/7, 1\/2, 86 in increasing order.\nAnswer: 1\/2, 12\/7, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2121 - -2122. What is the fourth smallest value in -2, 0.4, 0.3, v, -114?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 116 = 1901. Suppose 10*y - 5*y = 3*f + h, -2*y + 4*f = -252. Suppose 12 = 4*t - y. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 392*x**2 - 4*x + 171. Is o(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w)*(-2 - 2 + 2)*(-1470*w**3 - 5222850*w**2 + 5222850*w**2).\nAnswer: 2940*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*1)\/sqrt(11))**2 + 5 + sqrt(19)*-4 + sqrt(1539)*-1 + 0 + -4.\nAnswer: -13*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 0, 0, -12, -42, -96?\n\"Answer: -k**3 + 3*k**2 + 4*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m - 10. Let i(n) = -10*n - 8. Determine 3*a(l) - 4*i(l).\nAnswer: 13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-5220)*((-48)\/6)\/(-40)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-341)\/715*-15 + -7.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5002\/(-37515))\/((74\/3)\/(2\/163)). Is i less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 908 - 891 + 1075*z**3 + 521*z**3 - 181*z**3 - 74*z**2 wrt z.\nAnswer: 8490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 10100?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 12\/4)\/(-3). Suppose 3*i + y*i - 18 = 0. Calculate the smallest common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 1272 - 5*m + 481.\nAnswer: -5*m + 1959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 17*s**2 - 5. Let y be d(-17). Let p(r) = -21*r - 6. What is p(y)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose -h = -c*f - 2*h + 2, 0 = -2*f - 5*h + 2. Which is greater: f or 6\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5679 is divided by 1884.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -4, -19, -38?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 11:40 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497, -2047, -2595, -3141?\nAnswer: -3685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91.43 - 91.5. What is the nearest to -0.1 in -6, -1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + (-26)\/(-8). Let b(p) = p**3 - 10*p**2 + 10*p - 7. Let x be b(9). Suppose 3*a + a - h*g = 25, 33 = 5*a - x*g. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(3 - 5) - 1746. Is k at least -1749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106910601 divided by -2369\nAnswer: -45129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26872309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4035 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 517, 793?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.12, -4, -76\/7?\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/30 + 79*w**2 + 1. Give p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -217*z + 905. Determine b(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 6.4 (c) 1\/7 (d) 0.054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -35*s - 1103. Let g(x) = -3*x. Calculate g(u(i)).\nAnswer: 105*i + 3309","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -2 (c) -13\/32 (d) 0.4 (e) 626\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*f**3 + 50.\nAnswer: -150*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280264657.\nAnswer: 280264657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.651432209 and 7.\nAnswer: 7.651432209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/60 + 34*f**2. Let j(b) = 33*b. Give j(r(c)).\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178 is divided by 169.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13685349\/638 - 514647\/22. Let s = 1943 + q. Let d = s - -760\/319. Find the common denominator of 52\/5 and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80958?\nAnswer: 2, 3, 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197232\/5 + -38642. Is 805 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 9*o + 11. Determine n(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9508636.\nAnswer: 2, 29, 81971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 - 5*q**5\/12 + 7*q**4\/24 - 198*q**2. Find the second derivative of n(z) wrt z.\nAnswer: 6*z - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 52*v - 685. What is y(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3220*x + 1657*x + 1603*x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - a**2 + a - 14. Let v(w) = 2*w + 4. Let r be v(-13). Let o = -17 - r. Let t be (-3 - -3)*o\/10. Calculate q(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5282622 is divided by 480238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 3:02 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*((-2 + sqrt(1152)*2)*-6 + 2))**2.\nAnswer: -8304200 + 403200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -37\/6, -0.2, -1\/4, -5.\nAnswer: -37\/6, -5, -1\/4, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 4*u**2 - 60 - 2*u + 21 + 16 as y + s*u + f*u**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 68*t**2 + 75*t - 2509. Calculate q(34).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 10*y + 21. Suppose 0 = -c + 5*c - 104. Let r = c - 17. Let f be m(r). Calculate the highest common factor of 270 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 7*d**3\/3 - 1. Let m(o) = -2*o**2. Give m(u(z)).\nAnswer: -98*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Let i be (-3)\/(9\/69) + j. What is the tens digit of (-218)\/(-14) + i\/(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1037, -2060, -3041, -3962, -4805, -5552, -6185, -6686?\n\"Answer: 3*v**3 + 3*v**2 - 1053*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/5*x**2 - 6\/5*x - 2\/5*x**4 + 6\/5*x**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihiugihkgiuh. Give prob of picking 3 i and 1 g.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 3, -3, -1199, 4 in descending order.\nAnswer: 76, 4, 3, -3, -1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.562688ml to litres.\nAnswer: 0.004562688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - c4ab38?\nAnswer: -c4ab35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100100110 + -11110?\nAnswer: 11001100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45084 and 1404?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 - -6459?\nAnswer: 6465.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*d + 22*d - 32*d)*(-33 + 8*d + 33) as b*d + f*d**2 + i and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 145258, 290995, 436734, 582475, 728218, 873963?\n\"Answer: n**2 + 145734*n - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/595 and 71\/140.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1\/10, 2, 61, -2\/21 in decreasing order.\nAnswer: 61, 2, 1\/2, 1\/10, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3 - 1 - 3*l**3 - l + l**3 + 0 - 4*l**2. What is the units digit of q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-60)\/21 + 2)*-7. Let g be 22\/y - (-7)\/21. Let k = g - -4. Does k = 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251173467 by 4.\nAnswer: 251173467\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 2*r. Suppose -3*i + 6*i + 6 = 0. Let y be v(i). Suppose 3*f - 33 = -y*f. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/(-10))\/((-2)\/20). Let z(s) = -71*s**3 + s**2. Let p = 2 - 3. Let y be z(p). What is the highest common divisor of y and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 4*p - 2. Let m be j(-2). Suppose r - 23 = m*d, -3*d - d = -3*r + 49. Let w = d + 23. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/((-4)\/5)*267020\/325.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2. Suppose -55 = h - 6*h. Let o(q) = -2*q + 6. Let p(r) = 4*r - 11. Let y(l) = h*o(l) + 6*p(l). Determine y(b(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*1\/6*(-1944)\/36\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*n**3 + 21*n*u**3 + 2263*u**3 wrt n?\nAnswer: 135*n**2 + 21*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2591522, 10366094, 23323714, 41464382, 64788098, 93294862?\n\"Answer: 2591524*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 157*u + 807. Determine y(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 76. Suppose 5*b = -13*v + 14*v + 220, 10 = 2*b. Let n = v + 200. Sort l, n, -4 in ascending order.\nAnswer: l, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.5 + 130. Let h = g + -35. Which is the closest to -3? (a) -0.2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -5*h - 5*p + 485, -252 = -2*h - 3*p. Suppose 5*g - 31 = h. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/555*(3\/164)\/(3\/12)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -340655 - -7150645\/21. Let g be (-12)\/(-6) + (-292)\/(-2). Let f = o + g. Which is the biggest value? (a) -2 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 10:23 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 5*w**2 + 9*w + 2. Give z(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10113*r - 306 = 10124*r - 20203*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -212416 = -212416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t - 2*t**2 - 10*t)*(2*t - 2 + 2) + (3*t**2 + t**2 - 3*t**2)*(0*t + 0*t + 3*t) in the form b + u*t**3 + j*t**2 + m*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3012 is divided by 893.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.807424 and 19?\nAnswer: 19.807424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 942421.8m in millimeters?\nAnswer: 942421800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6102508 - -11402508. What is y rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8593, -9274, -9955, -10636, -11317?\nAnswer: -11998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - s + 12, -10 = -5*n - 3*s + 18. Let a = -16 + 20. Suppose -r - a + n = 0. Solve 36 = -4*v - 4*x + r, 3*v - 3*x + 6 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnhn when four letters picked without replacement from hnnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 divided by -51?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -211*s**6\/30 + s**4\/3 - 37*s**3\/6 + 2*s - 18. What is the third derivative of l(b) wrt b?\nAnswer: -5064*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - 2*q + 11. Suppose -u = -2 - 1. Calculate the remainder when o(0) is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -433994, 4 in decreasing order.\nAnswer: 16, 4, 2, -433994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-30))\/(h\/(h*h**(-2\/39)))*((h\/h**(-1\/6))\/h)**35 assuming h is positive.\nAnswer: h**(-1811\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 215 - 215. Suppose 4*g - 6*g + 1032 = k. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 21, 2, -175, -5, 9 in descending order.\nAnswer: 21, 9, 3, 2, -3, -5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -9, -5.3, -0.01, 1 in ascending order.\nAnswer: -9, -5.3, -0.01, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49)\/(-17) - (-60)\/510. Let l be 8 - c\/(12\/8). Calculate the greatest common divisor of l and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:12 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114550 at least 2749211\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10550, -21183, -31904, -42713, -53610?\n\"Answer: -44*b**2 - 10501*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -225\/3886114?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 3 + 0 - 2*c**2 + 0*c. Suppose -5*x + 558 = 2*a - 838, 3*x = -4*a + 832. Let p = x + -277. Give n(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4808805 or 4808806?\nAnswer: 4808805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 - -2.3. Let v = r + 4.6. What is the closest to 0.1 in 2\/3, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4 + 44. Suppose -137*k - 146*k + 271*k + 876 = 0. What is the remainder when k is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 5. What is v(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozzzzxxooozz. What is prob of sequence oooo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 12:04 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 4. Let u be x(4). Find the third derivative of 12*i**u - 31*i**2 + 18*i**2 + 11*i**2 wrt i.\nAnswer: 288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k*k*k\/(k**(-3\/7)\/k)*(k**(2\/7))**(20\/7)*(((k\/(((k*k**(2\/11))\/k)\/k))\/k)\/k**(-3))**25 assuming k is positive.\nAnswer: k**(163909\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450) + 2*sqrt(2450))\/(sqrt(1440)*-2)*-6.\nAnswer: 21*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 21*a + 17. Let h(n) = 5*n + 4. Calculate 9*h(o) - 2*r(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2069.06 + -2042. Round o to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30551701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -2\/5*r**5 - 4 + 29\/2*r**2 - 7*r + 0*r**4 - 1\/3*r**3. Differentiate b(x) wrt x.\nAnswer: -24*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 5, -4*q = -3*v + 35. Let g(t) = 162*t - 13. Is g(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17749.\nAnswer: 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.612261 - 3.629. What is t rounded to four dps?\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9822682 + -2165405.4?\nAnswer: -11988087.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 1. Let t = -0.45 - -0.05. Let u = t + 2.4. What is the biggest value in 0.2, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2106 = 17*c - 30*c. Which is smaller: -164 or c?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(612) + sqrt(612) + 1)**2 - (-3 + -1*sqrt(612) + sqrt(612)).\nAnswer: -2446 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 200 = 0. Suppose -h = 5*k + 20. Let p = -5 - k. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 305, 666, 1129, 1670, 2265, 2890?\nAnswer: 3521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217591551?\nAnswer: 3, 17, 41, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdssd. Give prob of picking 1 s and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1497403, 2994734, 4492053, 5989354, 7486631, 8983878?\n\"Answer: -s**3 + 1497338*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0, -4\/5.\nAnswer: -4\/5, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.1, 47188?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 812224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(94 - 71 + 90)*(-6*w + w + w).\nAnswer: -1356*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*l. Solve -7 + l = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 4. Let o(b) = 229*b + 1 - 24 - 235*b. Suppose 3 = -2*l + 5*l. Let v be (-17)\/(1*l\/2). Give v*x(c) + 6*o(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/(-2) + (-8)\/12. Solve 4*x - 4 = -u*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 - 4\/5 + 4\/5*i + 2\/5*i**3 - i**4 = 0. What is i?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 - 25331406*o**2 - 240630010729200*o + 721890260170272.\nAnswer: -2*(o - 3)*(o + 18998556)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 451 and 854651?\nAnswer: 385447601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5 = -3*r + 3, -5*r - 4*i + 24 = 0. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223200333 (base 4) to base 12\nAnswer: 87193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -279*w**4 - 1205679*w**3\/4 + 1984095*w**2\/4 + 213429*w + 4869 = 0.\nAnswer: -1082, -1\/3, -3\/124, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 14 = 22. Let s = -5 + z. Let n be (-8 + (-207)\/(-27))\/((-4)\/120). Solve 2 = s*j + n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1926 and 36701?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15079.5*1.74.\nAnswer: 26238.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -428\/11*u**2 + 0*u + 0 + 424\/11*u**3 - 1\/11*u**5 - 103\/11*u**4 = 0.\nAnswer: -107, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -37*c + 15. Let k(s) be the second derivative of 2*s**3 - 5*s**2\/2 + 3*s. Let w(q) = 4*i(q) + 11*k(q). Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 14. Let j be 6\/(-39)*t\/(-2). Let y = 302\/3 - 101. Which is bigger: j or y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/51 - (-15 - 272\/(-17)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = m - 3, 0 = 4*m - 5*t - 20. Suppose m*p - 20 = -5. Suppose 8*d - 50 = p*d. What is the highest common divisor of d and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704))**2 - (3*sqrt(44)\/sqrt(4) + sqrt(11)) - 4*(sqrt(11) - 4*(-1 + sqrt(11))))*4.\nAnswer: 96*sqrt(11) + 2756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 10920\/17 and 642 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times -20.5?\nAnswer: -1045.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z**2 - 2*z + 1. Let c be h(1). What is the greatest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6708 or 6701?\nAnswer: 6701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 3*s**2. Let c(n) = 3*n**2 - 466*n + 40*n**3 + 466*n - 38*n**3. Give 4*c(t) - 5*o(t).\nAnswer: -2*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**2 + 9*c + 5. Let l(q) = 4*q**2 - 5*q - 3. Let s be (108\/45)\/((-4)\/(-10)). Let x(n) = s*d(n) + 10*l(n). Suppose x(k) = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 - -246. Let f = -111.863 - o. What is f rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*w - 15, -5*w - 2*j = 7 - 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5\/6 + 2639*y**4\/3 - 350399*y**3\/2 + 69939*y**2 = 0. Calculate y.\nAnswer: -1227, 0, 2\/5, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 6. Calculate the lowest common multiple of r and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1575)\/(-56))\/(-15))\/((-81)\/864)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5 + 5*g**2 - g**3 + 2*g**3 + 1 - 12*g**2 - 8*g. Calculate x(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-5 + (0 - -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-561)\/(-51))\/(4\/(6*6)*3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4755431072 rounded to 5 dps?\nAnswer: 0.47554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 955416 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80 - (27 - -6) - 72\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/2*(-1 + 121\/77). Solve -c*n - 45 = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -0.85?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16*i + 25725 = -18*i, 2*i - 25745 = -5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425.79821 - 0.00179. Round c to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/7 - 1\/14. Let i = 12 + -12.1. What is the closest to i in s, -4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*o + 22. Let a = o - 28. Is -4\/11 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5\/i*i*i**(-2\/5)\/i*i*((i*(i**(-1\/2)*i)\/i)\/i)**(2\/25) assuming i is positive.\nAnswer: i**(114\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-14) - (-988)\/91. Suppose 0 = 4*m - 51 + i. What is the smallest common multiple of m and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -11*h**2\/2 - 79*h + 33. What is the units digit of t(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 7*n**2 + 3 - 3 - n**2 + (n + 6*n + n)*(0*n + 0*n + n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1\/3*a**3 + 0 - 20*a + 0*a**2 - 1\/2*a**4. Factor j(r).\nAnswer: -2*r*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 2, r: 4}. Give prob of sequence ekke.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*n + 2*n**2 + 2*n**4 + n**4 - n**4 to the form c*n**3 + s*n**4 + d*n + m*n**2 + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00033996013 to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 5*j**2 - 3*j + 4. Let x be p(4). List the prime factors of 6\/x - (-21)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*i + 20, -4*p + 2*i - 3 = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 22 + 3*f**3 + 6.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*g - g, g = 2*s. Suppose -4*a - 4*f + 28 = 0, -4*a + 22 = 3*f - 1. Suppose -5*n = s, 6*n - a*n + 6 = z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103570473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5651, 9 in decreasing order.\nAnswer: 12, 9, -5651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10142100519 rounded to six decimal places?\nAnswer: 0.101421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168675*d*g - 131*d + 36*g + 103230 wrt d.\nAnswer: -168675*g - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.107 - -1421.407. Let m = w - 1365.2942. Let k = -25 + m. Round k to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 314, 632, 1190, 1988?\n\"Answer: 120*o**2 - 42*o + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -92, -4, 72, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, -1\/4.\nAnswer: -1\/4, -0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2 - -2 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -1 + (-16 - -21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 87. Let t(b) = b**2 + 2*b + 3. Calculate the least common multiple of t(n) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29620315 to the nearest integer?\nAnswer: 5442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2\/2 + 7. Let i(b) = 3*b. What is x(i(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 115 - 67 = 5*j. What is the smallest common multiple of j and 3836?\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1357506*u**2 - 5. Let o(p) = -p**2. Determine q(o(b)).\nAnswer: -1357506*b**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535379 is divided by 7042.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -3, 2, -2, 1, -153 in decreasing order.\nAnswer: 95, 2, 1, -2, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 4*c**2 + 35*c**2.\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a**2. Let v(f) = 76316*f**2. Determine p(v(s)).\nAnswer: 87361977840*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))*2)**2 + -2 + sqrt(1900) + (sqrt(19) + (sqrt(19) - -1*sqrt(19)))*6 + (sqrt(19)*1*-5)**2 + 4.\nAnswer: 36*sqrt(19) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107982 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8893 + -8515. Suppose -7 = v - 49. Calculate the highest common divisor of v and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7769020 to the nearest integer?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:17 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63\/2 - 31. Let s = 1.14093 + -0.14093. What is the closest to 0.1 in 3\/7, w, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least as big as 11206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0, 3\/11, -1 in ascending order.\nAnswer: -1, -0.6, 0, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (754*q - 2832 + 2832)*(q - 4*q - 6*q)*(-2 + 0 + 0) to j*q**2 + g + s*q and give j.\nAnswer: 13572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -3)*23\/23. Put u, 342, 4 in descending order.\nAnswer: 342, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2042*i**3*t**2 - 44*i**3*t - i**2*t**2 + 3*i**2*t + 10*i*t**2 + 19*t wrt i?\nAnswer: 12252*t**2 - 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/2 + 5*w**3 + 39*w**2\/2 = 0.\nAnswer: -3, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 15) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122122002101 - 211?\nAnswer: 2122122001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 + 4. Let d be q(5). Let n = 3773 - 3774. Which is the second smallest value? (a) -2\/7 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 8*v. Suppose 2*a + 3*r = v, -2 = -4*a - 3*r + 10. What is the third derivative of 0*c**6 + 3*c**6 + 16*c**2 + 8*c**a wrt c?\nAnswer: 1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 4, -2, 3, -1343, 1, 2 in decreasing order.\nAnswer: 4, 3, 2, 1, -2, -229, -1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let k be h(5). Let y(n) = n**2 + n + 5. Let m(r) = 1. Let s(c) = k*m(c) + y(c). Let i(t) = 5*t**2 + 4*t + 1. Let a = 9 + 0. Give a*s(z) - 2*i(z).\nAnswer: -z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4.2.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 4:52 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, 2.5, -10?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.044, 1174, -5\/6?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2613 + -2470.7. Round g to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 620 = 10*l. Let m = 126 - l. Solve p + 2*p = 2*x + 13, -m*p + 10 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.7, -2, 2\/15 in ascending order.\nAnswer: -2, 2\/15, 0.2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 474134.3 and 142?\nAnswer: 67327070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -53911\nAnswer: 21564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9353, 37514, 84441, 150128, 234569, 337758?\nAnswer: 459689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 12. Let h = j - -8. What is the second biggest value in -3, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.21854 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -11\/5 (c) -69.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + 10?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 21. Let a(y) = 7 + d - y**2 + 3*y - 7. Let j(v) = -386*v + 16217. Let p be j(42). What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29199641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 9 = 3*c, -806*c + 811*c = 2*o + 11. Sort -393, 0, 4, o, -1 in descending order.\nAnswer: 4, 0, -1, o, -393","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 9*k**2 + 8*k + 4. Let j be l(8). Suppose -f = -2, 3*f + 51 = -z + j*z. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*x = 6, 3*n = 2*x + 15 + 2. Find the third derivative of f + 2*f**5 - f - n*f**2 + 3*f**2 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 2321829?\nAnswer: 3, 257981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Let o(x) = 0*x**3 + 4*x + 0 - 3*x + 2 + x**2 + x**3. Let u be o(0). Solve -l - 4*i = -5, -l + 6*l + u*i - 25 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2)*g)\/g)\/(g*g**5))\/((g*g*g**(1\/3)*g)\/g**5)*((g*g\/(g*(g\/g**5)\/g))\/g*(g**0*g*g)\/g)\/(g\/((g\/(g\/(g**(-1\/2)\/g)))\/g))**(-30) assuming g is positive.\nAnswer: g**(314\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5190*p - 358386. Determine l(69).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - 10*i + 6*i**4 + 10*i + (2*i**4 + 2*i**4 - 2*i**4)*(-4*i + 3*i + 3*i).\nAnswer: 2*i**5 + 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-105)\/(-14)*(-2)\/(-3). Suppose -l*a = -a. Is a equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/6 - 7*t**3\/3 - 865*t**2\/6 - 3425*t\/3 - 1000 = 0.\nAnswer: -15, -10, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -0.15. Suppose -z = -2*l - 10, -l = -3*z - 0*l + 20. Which is greater: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -273 + 12*k**2 - 2*k**3 + 272 - 21*k + 13*k. Let r be n(5). Solve -r*y - 6 = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Let g(y) = -2*y + 0*y + 2*y - 10 + y**2 + y**d + y. What is g(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2222\/(-101))\/44)\/(3*-1*42\/(-8)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -24. Sort s, 1\/7, 0.1, 1\/4 in ascending order.\nAnswer: 0.1, 1\/7, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6695576, 2 in decreasing order.\nAnswer: 6695576, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 9*c - 6*c - 25, 4*c - 70 = -5*h. Suppose -2*w - h*w = 0. Put -3, w, 7 in ascending order.\nAnswer: -3, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28754 - 22983. Is 65 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -152*((-30)\/(-110))\/(246\/451)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 190, 186, 182?\n\"Answer: -4*z + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/6)\/((-20)\/(-60))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39502 from 18.4394.\nAnswer: 39520.4394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 1005, 3322, 7753, 14982, 25693, 40570, 60297?\nAnswer: 85558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 649 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -10879\/8, -78?\nAnswer: -10879\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/18247 + 875834\/200717. Let k = g - 251\/55. What is the nearest to 0.1 in 3, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-192)\/(-99) - 6)\/(-4) and -20\/201.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*n**2 + 0*n**2 - 2*n**2)*(-4 + 0 + 2)*(-1 - 293*n + 8*n**2 + 293*n) to z + w*n**4 + k*n + f*n**2 + a*n**3 and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8882439.\nAnswer: 1\/2960813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*b**2 + b**3 - 4*b**3 + 168*b**2 + 7*b**3 + 3*b + 4*b**4 to y*b**4 + l*b**2 + k + g*b**3 + i*b and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71, 605, 2063, 4907, 9599, 16601, 26375, 39383?\n\"Answer: 77*u**3 - 5*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100439, -201000, -301561, -402122, -502683?\nAnswer: -603244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m**4 - 4588259*m**2 + 209865866*m wrt m?\nAnswer: 84*m**2 - 9176518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 4*l + 0*l + (0*l - 4*l + 2*l)*(73 - 142 + 67).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -564 - -559.402. Round c to one decimal place.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2256*o + 2260*o = 104, -4*j + 3*o - 103 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7*l - 10. Suppose l*o - 22 = m, 0*o - 4*o + 20 = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 30*y**2 + 13*y**2 + 16*y**2 - 2*y**3 - 3*y**4 - 7 as g*y**4 + r + d*y**2 + n*y + h*y**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619962367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16091170 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n + 12, 12 = g + 2*n. Let l = -9 + g. Let a = -0.06 + -2.94. What is the closest to -2 in 1\/5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21101001022222 (base 3) to base 11\nAnswer: -2236627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h**2 - 7*h**2 + 58*h**2 - 3*h**2 to k + i*h**2 + y*h and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-16) - 255\/12. What are the prime factors of 3\/(-2)*112\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*i + 473 + 167 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154367846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j**9)**(1\/7))**4 assuming j is positive.\nAnswer: j**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + c + 11. Let h(b) = -b**3 - 7*b**2 - 5*b + 6. Let g be h(-6). Let i(l) = l**2 + 4*l + 21. Calculate the remainder when i(0) is divided by o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*a - 15. Suppose 0 = v + a*v - 10. Which is greater: 1\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-15)*(-1 + 4). Suppose -5*n - 16 = 2*x, -n + 4*n - 3 = 3*x. Let j be 4\/(-3) - 4\/n. Is j equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjzjjjzzjh. Give prob of sequence zj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - -10 - (99 - 104).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9)\/((-1)\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 3*u**2 - u - 7. Let z(j) = -5*j**3 + 14*j**2 - 6*j - 34. Let a(b) = -11*o(b) + 2*z(b). Calculate the smallest common multiple of a(5) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 11:11 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 - 1 = 0. Suppose -2*m - m = 3. Let n be 3*m - (-80)\/8. Is n at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4271.83 + -4305. Let g = -33 - b. Let r = 0.94 - g. What is r rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -5*i**4\/7 - 76*i**3\/21 - 46*i**2\/7 - 36*i\/7 + 153. Factor w(t).\nAnswer: -4*(t + 1)**2*(5*t + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72551 is divided by 1827?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -56*c**3 + c. Let u be 4*(0 - (-1)\/(-4)). Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 71 (b) -5 (c) -1\/9 (d) -22 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:18 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26784 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 + 35 = 0. Solve -10 = 4*f - d*f, 2*i - 15 = 3*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -46. Suppose i = -21*v + 16*v + 30460. Let y = -1939 + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*f = 21, -f = -3*u - 0*f - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -16, -525*u = -524*u - g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704492743 a multiple of 11797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -483254 divided by -47?\nAnswer: 10282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2563249 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m + 20 = 0, -5*j + 1 = 2*m + 9. Suppose j = -11*h + 15*h - 180. Let v = h + -8. Calculate the remainder when v is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7142 + 7143 - 3*p**2 - 21412 + p**2 + 7127.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70*((-1)\/(-6))\/((-970)\/3492).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2a350 + 4?\nAnswer: a2a354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30939506111\/50 - 618856546. Let i = -66426 - y. Find the common denominator of i and 75\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(68) - sqrt(17)) - (2 + sqrt(425)))*3)**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1542 - -1525 - (-2 + 2 + 2 - -7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/(-55))\/(-16)*(-25)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -1. Suppose -2*f + 12 = f. Suppose f*m + 3*i + 1 = 19, 2*m - 5*i = -4. What is the biggest value in 0.5, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + (-8 - -3 - 1 - 1 - 13)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3*l - 120*k**3 - 7*k*l + 6*k + 9*l wrt k.\nAnswer: -24*k*l - 720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -3.7. Let k = a - -3. Let p be (-4)\/6 - (-34)\/24. What is the closest to k in 1\/4, p, -4\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 14109277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 39537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 368584251 to the power of 1\/2, to the nearest integer?\nAnswer: 19199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - g**2 + g)*(-7341*g - 154 - 246 + 7339*g) in the form d*g + t*g**2 + o*g**3 + h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.5, 273\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-40)*8\/(-102)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 17*m**2 - 2*m + 9. Calculate the remainder when 34 is divided by s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 4*z. Let r be m(3). Is (-28)\/(-210) + (-313)\/r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -317\/106 (b) -5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/12 - -1) + (-1238)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {o: 2, m: 6, i: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42620 = 120*i - 37820 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -p - 17 + 74, -4*j = 2*p + 54. Let k(h) = -5*h + 3. Let f be k(-6). Let y = f + -46. Does j = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**7\/357 + l**5\/170 + 19*l. Determine n, given that b(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 - 248.8. Let o = r + 40. What is o rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -8 (b) 5 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t**3 + t**2 + 21*t + 7. Let p(y) = 23*y**3 - 2*y**2 - 18*y - 6. What is 6*k(x) + 7*p(x)?\nAnswer: 11*x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-16)\/40)\/((-1)\/10). Solve 7*y = z*n + 6*y, -3*y = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897616 divided by 224404?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (11 - (-6 - -11)) + -22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 729 + 3629 = 0. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 5:36 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ft when two letters picked without replacement from ttfttfftffft?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -472\/7*j + 6*j**5 - 24\/7 - 166\/7*j**4 - 50\/7*j**3 + 670\/7*j**2 = 0. What is j?\nAnswer: -2, -1\/21, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**2. Let k(b) = 2*b**2 - 2903*b - 30. Calculate k(u(a)).\nAnswer: 200*a**4 + 29030*a**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -145389.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -65655931.9 to the nearest 10000.\nAnswer: -65660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809482799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 3. Let n be (0 - (0 + 1))*-1. Let t = n - -1. What is the units digit of h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7624 - -7624.1. Let j = -15 + 43\/3. Let p = -3.3 - -3. Which is the closest to h? (a) j (b) -3\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 31*p - 13. Let q(u) = 31*u - 11. Give 4*m(x) - 5*q(x).\nAnswer: -31*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:10 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(4\/7)\/z))\/z**5*z**6*z*z**(2\/7) assuming z is positive.\nAnswer: z**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/15 + 46*b**4\/15 - 94*b**3\/5 + 74*b**2\/3 + 140*b\/3 = 0. Calculate b.\nAnswer: -1, 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-7)\/(1\/(-1)). Suppose 0 = -w + y + 26. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -406 or -405?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6)*6)\/(sqrt(108)*2).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l - 6. Let f be c(-5). Let b be (309 + -1 - -2) + 2. Is 11 a factor of b\/14 - 4\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -297025.652 to the nearest 100.\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*6\/(6\/1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 6:34 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Let v be (0 + -6)*(-45)\/18. Suppose -2*y - 3*y = -4*h - v, 4*y - h = 1. Put -5, y, c in increasing order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -894453901251 - -0.1.\nAnswer: -894453901250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14590.\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*p = 135*p - 19054. Suppose 15*s - 8*s - p = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let i(u) = -4*u. Let r(f) = 273 - 137 + 7*f - 136. Let l = 20 - 14. Let n(y) = l*r(y) + 13*i(y). Determine n(m(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a week in minutes?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/100*6*2790\/(-54).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:43 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 + 6 = w, 0 = 3*w - 2*d - 8. Let k(f) = -f**2 + 12*f - 18. Let b be k(8). Let a = b - w. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2252720 divided by -1.\nAnswer: 2252720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 2112 - 2112.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2. Let o = 0.1 + 0.1. Which is the closest to h? (a) -4\/5 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691781520 by -2290.\nAnswer: -302088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/36 - 2\/6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1130368471 and 15103?\nAnswer: 1130353368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 - -63. Suppose 2*r - d = -r. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117205 and -83781324.\nAnswer: -83664119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215600 is divided by 440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035556765.\nAnswer: 5, 207111353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*162\/12. Let n = l + -8. Suppose -4*w + 19 = 3*m - 10, 2*m = 6. What is the remainder when w is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 + 370 = -4*c, 4*c - 142 = -2*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151.7198um to kilometers.\nAnswer: 0.0000001517198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 11*j**3\/3 - 2*j**2 + 449*j + 532. Find the first derivative of d(y) wrt y.\nAnswer: 22*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18779 and 2848?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*p + 87*p - 3795 + 888. Calculate the highest common factor of 323 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.4 (b) -3 (c) 5 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.776 + -0.064. Let k = v - -2.1. Let w = 0.2599987 - k. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4. Let t be a(3). Let c be (-8)\/68 - 302900\/340. Let o = c - -893. Solve 0 = o*m - 1 + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 344, 517, 690, 863?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1391, -1462, -1531, -1598, -1663, -1726, -1787?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-7))\/(-3 + (-16)\/(-8)). What is the nearest to 2\/7 in x, -6, -4, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekek when four letters picked without replacement from {k: 7, e: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 65 = 25. Let k be (y\/(-4))\/(1\/2). Solve k*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(-2493)\/(-113570)?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2)\/(110\/(-275)) - 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 36 - 18) + 12 + 1 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 718*u - 560. Give n(181).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6195714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*-2 + 6. Suppose -3*g - 1914 = -3*f, a*f + g + 915 = 4087. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1409 + -1600.1. Let h = 191 + f. Which is the closest to h? (a) 18 (b) -0.4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 188 and 1315\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*32656086\nAnswer: 3265608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/6 and 25\/41395358.\nAnswer: 124186074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 o when four letters picked without replacement from {o: 9, b: 9}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4104.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(170) + sqrt(170))\/(-2*sqrt(245)))\/(1*sqrt(128)*1*4) + 0.\nAnswer: 5*sqrt(17)\/448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*l - 3 + 141*l + 3.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*d - 516 = 1836*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 2. Let a(i) = -i + 1. Suppose 2*x + x + 8 = s, 5*x = -2*s - 6. What is x*a(z) - u(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40, 0.2, 4, 136, 8, -5, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzkkzkrtztttz. What is prob of picking 1 k and 1 z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9261, -39870, -91815, -165096, -259713?\nAnswer: -375666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9208009 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 y(o) = -o**3 - o**2 + o + 29. Let t be y(0). Let j be 4\/(-26) - (-52632)\/52 - -3. Suppose -97*a = -62*a - j. Is t > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127207*t**2*y**2 + 22*t**2*y - 1813*t*y**2 + 2291*y**2 wrt t?\nAnswer: 254414*y**2 + 44*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*4*3)\/(sqrt(1152)*3 - sqrt(8)))**2.\nAnswer: 1872\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = f. Let k(x) = 3*x + 3*x - 1 + 5 + 1. Let y(w) = -w - 1. Let s be 0\/(-3) + 3\/(-3). Calculate f*y(v) + s*k(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331988*f**2 - 331990*f**2 + 1 - 1.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -9 + 8 - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -171. Suppose 4*q + d - 16 = 21, 4*q - 33 = 3*d. Calculate the remainder when l is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 34 - (-3 + (0 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33873 (base 11) to base 6\nAnswer: 1014404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -0.2, 99, -11, 0.2 in decreasing order.\nAnswer: 99, 15, 5, 0.2, -0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -44. Suppose 5*h + 3*o - 6*o - t = 0, 2*h - 31 = 5*o. Solve 10 = -2*f, h*y + 19 = 2*f - 7*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 12*q - 26. Let b be d(9). Let p be 62\/217*42\/b. Put -5, 5, p in decreasing order.\nAnswer: p, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(130)*-5 + sqrt(130) + (sqrt(130) + (sqrt(130) - 1*sqrt(130)))*-4)\/(-4*sqrt(30)\/sqrt(3) - sqrt(490)*-2).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l + 2 = 0, 0 = 2*l + 9 - 1. Let h(j) = -13*j - 17. What is the remainder when (-1 - (-1)\/1) + 15 is divided by h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2961 - 2961.3. Sort 1, -2.7, r, 0, -1\/2 in ascending order.\nAnswer: -2.7, -1\/2, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29929 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1\/3, 0.2, -0.1, 0.5 in ascending order.\nAnswer: -7, -1\/3, -0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 272, 248, 164, -10?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + 3*c + 3. Let z(r) = -r**3 + r**2 + 2*r + 2. Determine -3*k(u) + 4*z(u).\nAnswer: -u**3 + u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 4. Suppose 0 = y + a*s - s - 7, -3*y + 33 = -s. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.18. What is j rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 8*w + 16. Calculate v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*a. Suppose 31*p - 32*p - 58 = a. Let c = p - -102. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4231.5 + 4230.4. What is the nearest to g in 9\/20, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17226 = -9173*b + 9371*b for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584, 1454, 1240, 942?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470497 (base 12) in base 10?\nAnswer: 1141171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2 - a**2)*(-3 - 3*a + 3).\nAnswer: 3*a**3 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8*u = 546. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*g**2*r*y - 2*b*g**2*r - 45*b*g + 80*b*r + 30*g**2 - 9245*g*y + 6*y wrt y.\nAnswer: -b*g**2*r - 9245*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 2*s**2 - 11*s + 8. Let x be r(4). Let k be x + 96\/3 + -1. What is the highest common divisor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4244013 or 39?\nAnswer: -4244013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-5*(sqrt(612) + -2) - (sqrt(612)*-2 + -3)) + 4)*6.\nAnswer: -108*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (24 - ((-10 - -17) + 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-484)\/(-154) + ((-4)\/7)\/4. Suppose 0*r - 16 = -2*r + 5*f, 0 = i*r + 3*f - 3. Solve -7*w + r - 10 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370332 and 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 16 = -3*t. Is (2 + -4)*(-981)\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 450*k**2 - 409*k.\nAnswer: 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10123103 (base 4) to base 16.\nAnswer: 46d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/1746 and 119\/82062.\nAnswer: 82062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 23. Let n be s(-8). Sort 1, n, 0, 1\/8 in ascending order.\nAnswer: 0, 1\/8, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -43. Suppose l*x = x + 78. Let c = -8 + x. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + s + 19, -3*s = -0*s + 9. Solve 19 = -k*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a*a*a**4)\/(a**(-6)*a*a**(-2\/5)*a) assuming a is positive.\nAnswer: a**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8582225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -14. Which is the third smallest value? (a) l (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030759165 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 65?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -32. Let j(x) be the second derivative of 1\/10*x**w - 1\/4*x**4 + 0*x**3 + 3*x + 0*x**2 + 0. Find the third derivative of j(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/7 (b) 23 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1313304 and -29\/9849780.\nAnswer: 19699560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + (-3 - (-6 + -3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = -g + 3*x, 3*g = 3*x + 9. Suppose l = -4*t + g, 3*l + 10 = 5*t - l. Solve -3 = -a - t*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p)*(-14*p**3 - 22*p**3 + 30*p**3) + (-p + 8*p - 3*p)*(-5*p**3 - 5 + 5).\nAnswer: -32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v**2)*(33*v + 119 - 119) + 3*v**3 - 7*v**3 + 9*v**3 + (-2*v - 3*v + 3*v)*(2*v**2 - 5*v**2 + v**2) - 2*v**3 + v**3 + 0*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.42 in -5, 201, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323098 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 22 + 1 = 0. What is the common denominator of 50\/11 and (-27)\/17*(-1)\/r?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8270?\nAnswer: 2, 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 186*m - 191*m - 20, 0 = 3*q + m + 18. Let b(l) = 5*l + 5. Let o(j) = 5*j + 4. Determine q*o(w) + 4*b(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/7)*u**4*u**(5\/2)*u*u*(u*u**(-2\/5))\/u assuming u is positive.\nAnswer: u**(577\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 21 + 21 = 0. Suppose w - 384 = -3*w + 3*k, k = u. Let d = -92 + w. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 59 + 9 - 32*i**2 + 23 - 36*i**2 + 66*i**2.\nAnswer: -2*i**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/(-77))\/((1\/(-14))\/((-30)\/(-60))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q + 8994 = 25*q + 14488 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/15 + (-62)\/(-10). Let i be (-200)\/(-30) - (-2)\/s. Calculate the highest common divisor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and -5677.\nAnswer: -5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 277 + 0*l - 49\/2*l**2 + 1\/3*l**3. Let i(o) = 0. What is o?\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 1047300?\nAnswer: 1047316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-10)\/(-5))\/(-6)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 699 divide 660555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17652 is divided by 1059?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 6, m: 7}. Give prob of sequence nb.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 28. Suppose -175 = -4*p - w*z + 53, 4*p = 4*z + 256. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 + 13639*g**3 + 21079*g**2.\nAnswer: 24*g + 81834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z - 52. Suppose -73 + 13 = -4*n. Let f = n + 86. Calculate the remainder when f is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 7*j**2 - 16*j + 36. Let k be s(5). Suppose 18 - k = 4*o. Which is the nearest to -0.2? (a) o (b) 4 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 - 125*d - 5*d + 436*d**3 + 55*d wrt d.\nAnswer: 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.109 and 2655836.\nAnswer: -289486.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(300))*-6*2 + 0 + 2 + (sqrt(300)*-2)**2 + 2 + -2.\nAnswer: 480*sqrt(3) + 1298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644591237.\nAnswer: 3821, 168697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -190.0159794 - -0.5\nAnswer: -189.5159794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -300032 divided by -32?\nAnswer: 9376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q + 8. What is the smallest common multiple of l(-6) and (-728)\/(-119) + 4\/(-34) - 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -268, 2\/5, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 283890\/(0 - -3) - (-4 + 1). Let d = -715367 - l. Round d to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1297659643 to five dps.\nAnswer: 0.12977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 236*b**3 - 245*b**3 - 6*b**2 + 47*b.\nAnswer: -9*b**3 - 6*b**2 + 47*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvjyvmevyyjjmryjy. What is prob of sequence ryme?\nAnswer: 1\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 1540*m - 1536.\nAnswer: -4*(m - 384)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -753053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11929111*k**3 + 37295208*k?\nAnswer: -71574666*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.57 + -0.568. What is s rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -5842?\nAnswer: 17526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (715\/7150)\/(1\/230).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7740\/(-210) + 8 - (74\/(-70) - (-6)\/30)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5840, -3512, 368, 5800, 12784, 21320?\nAnswer: 31408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/15 - (-3206)\/(-10). Let x = 1611\/5 + v. What is the common denominator of x and ((-5)\/((-15)\/(-51)))\/((-65)\/26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 12\/17, 0.2 in descending order.\nAnswer: 12\/17, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -410400 divided by -3800?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 1 + 16. Suppose -10 = 2*k + h*k. Let q = 1 - k. What is the greatest common factor of q and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.6 and -1.4?\nAnswer: 14.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (54094\/740 - 73) + (-2)\/((-1380)\/(-79))\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3396 or 3413?\nAnswer: 3413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -2*i - 520. Let d be i\/(-20) + (-1)\/(-5). Let l(p) = -p - 7. Let t be l(d). Put t, 2\/7, -5 in descending order.\nAnswer: 2\/7, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - (2 + 2)) + -5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - z = 63, -2*k + 133 - 28 = 5*z. Suppose 10*p - k = 5*p. Suppose 6*c = -0 + p. Solve -t + m + c = 5*m, 5*t - 10 = -2*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -635, -3 in increasing order.\nAnswer: -635, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z - z**2 + 2 - 2 - 3 + 9 + 6 as c + u*z + h*z**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*w + 466*w = 14931. Calculate the highest common divisor of w and 55377.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5)*u**(-10\/3))**(4\/5) assuming u is positive.\nAnswer: u**(-164\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -171270000 to the nearest 1000000.\nAnswer: -171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/15)\/((-1)\/1)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -8 + -2 + 50 + -27?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 118, 97, 68, 31, -14?\n\"Answer: -4*l**2 - l + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30719 - 155598.\nAnswer: -186317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + -2. Let w = f - -54. Suppose -w + 3 = -2*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160\/539 less than 6.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*o - 35*o - 34*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 9*m - 20. Let k be o(10). Let d(f) = 4*f + 45. Let i be d(k). Factor -4*z**5 - i*z**4 + 0*z**4 - 16*z**3 - 16*z**4 + z**4.\nAnswer: -4*z**3*(z + 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 2*b**2 + 10 - 23 - b**2 to the form p*b**2 + n*b + d and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, 1\/9, 290?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 18*z - 187. What is u(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 + 8. Let s(g) = g + 10. Determine s(o(f)).\nAnswer: 3*f + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 3*i**2 - i - 2. Let f be b(4). Solve w + f = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33441134 (base 7) to base 8\nAnswer: 13041531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.231, -3, 1, -1\/10, -1\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 13}. What is prob of sequence ofo?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, 0.1, -1042, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042291057 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5\/4 + 13899*f**4\/2 - 27789*f**3 + 27786*f**2 = 0.\nAnswer: 0, 2, 9262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8267624 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 3\/4, 5, -7 in descending order.\nAnswer: 5, 3, 3\/4, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**7\/21 - 255*b**4\/4 + 4*b**3\/3 - 25*b**2\/2 - 3877*b. What is the second derivative of t(m) wrt m?\nAnswer: 40*m**3 - 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 584, 866, 1150, 1436, 1724, 2014?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4158707.\nAnswer: 7, 179, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -536*p**3 + 536*p**3 - 276*p**4 + (0*p - 4*p + 3*p)*(-p**3 + 4*p**3 - p**3).\nAnswer: -278*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4184381752.517 - 33.\nAnswer: 4184381719.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 1)*(-5*l + 0*l + 2*l) + 8*l**2 + 10*l**2 + 0*l**2 - 2*l - 3*l**2 - 58 + l**2 + 133.\nAnswer: 19*l**2 - 2*l + 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/((y\/((y**(-4)*y*y)\/y*y))\/y*y))**(12\/19) assuming y is positive.\nAnswer: y**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -401*b**2 + 14*b - 7.\nAnswer: -802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 - 4*i + 38. Let z be f(6). Suppose -3*o - p + 468 = z, 8 = 2*p. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4)*q*q*((q\/q**(-7))\/q)\/q*q\/((q\/q**4)\/q)*q*(q*q*q\/q**5)\/q)**(1\/25) assuming q is positive.\nAnswer: q**(16\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*c**2 + 84*c - 84*c to q + d*c + v*c**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 44122 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.145, -0.5, 1\/37, 1\/4, -0.2, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -110101011001000100010?\nAnswer: -110101011001000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-505)\/(-35) + -1 + (-8)\/(-14). Suppose -c + r = -222. Let t = 515 + c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let r = g + 1. What is the closest to -1 in 0, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 - 3*l**2 + l + 8*l**2 as u*l + q*l**2 + d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(8) + 3) + -2.\nAnswer: -20 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 - 205*b**3\/3 - 868*b**2.\nAnswer: b**2*(b - 217)*(b + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (0 - 2 - -6) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 3, z: 1, g: 6, w: 1}. Give prob of sequence igxg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358 - -7903\/22. Find the common denominator of r and -93\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w + 1. Suppose -5*f + 5 = -5. Let i be l(f). Suppose -4 = -16*j + 220. Calculate the highest common divisor of i and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3*h + 0*h)*(388 + 1887 - 8144 - 327 - 6449).\nAnswer: 37935*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6231192041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + u. Let y(r) = 63*r**3 + 63*r**2 + 63*r. Give -63*h(x) + y(x).\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -9, -51, -111, -189?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4081 - 4079. Calculate the lowest common multiple of 764 and n.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -7, 5 in ascending order.\nAnswer: -7, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 10. Let o = 9 + f. Which is the nearest to o? (a) 0.5 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 306\/42*2*(1 - -6). Calculate the greatest common factor of u and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u + 4*n - 14 = 0, -n = 2*u - 8. Suppose 0 = u*o - 12 - 36. Let x(k) = -k**3 + 6*k**2 - 4*k - 1. Let p be x(5). Solve 4*y - o = -p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2, -0.04, 5, 1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/6)\/n)\/n*n)\/n*n*n**(-3\/10)*n*n*n**(1\/4)\/n*n*n*n**(-7)*n assuming n is positive.\nAnswer: n**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.5 * -39.\nAnswer: -1072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32030)\/(-40))\/(1\/(-4)). Let n be a\/(3\/(-1 - 2)). Suppose -n - 47 = -5*l. Round l to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/5 - 6*n**4\/5 + 8*n**2\/5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -4*u**2 + 11*u + 9. What are the prime factors of y(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 16 + 4 + 5)*(0*f + f + f).\nAnswer: -6*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - x**2 + 0*x**2 - 5*x + 2*x**2 + 10*x to the form y + q*x + o*x**2 + j*x**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*k - 27*k + 44*k = -46*k + 2486 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 8 + -29 - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 640, 881, 1122, 1363, 1604?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24049019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12797230 and 89283.\nAnswer: 38391690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -18. Which is smaller: 1\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -124. Which is smaller: 99\/2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 3, p: 1, l: 6, o: 2, f: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5 - 73*q**4 + 235*q**3 + 533*q**2 + 94*q - 136 = 0.\nAnswer: -17, -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let g(c) = 3*c**3 + 2*c**2 - 4*c + 3. Let x be g(h). What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (26 - (-12 - -65))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (12 - 1) - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -115*h**2 - 65*h**2 + 6817 - 18341 + 36*h**2 - 7*h**3 wrt h.\nAnswer: -21*h**2 - 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3958 divide 111342719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 11. Let m be b(8). Solve -5*p = -m*f, 0 = 4*f + f - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -28466323203?\nAnswer: -28466323201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + sqrt(5)*3)**2 + sqrt(30)\/sqrt(6)*6.\nAnswer: 62 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3463, -7639, -11799, -15937, -20047, -24123?\nAnswer: -28159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 21*x**2 + 499*x - 38. Let j be p(-24). Solve -66 = -8*g - j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - 3*b + 3*b)*(-3 + 6*b + 5 - 8*b).\nAnswer: 8*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from gggggllulllglllly?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*((b**(-3)\/b*b)\/b*b)\/b*b*b*b*b*b**(2\/3)*((b**(-1\/2)\/b)\/b)**40 assuming b is positive.\nAnswer: b**(-295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-94)\/(-4) - 1)*(62 - 60) and 21?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - 11*f**2 - 21*f + 81. Let c be l(-6). Sort -5, 5, 4, c.\nAnswer: c, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 + u + 3. Let k be y(5). Factor -s**4 + k*s**5 - 4*s**5 + 6*s**4 + s**3.\nAnswer: s**3*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21 + 4*t + 6 + 0*t**2 + 0*t**3 + 8*t**2 + t**3. Let z be h(-7). Suppose z*j = j + 580. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 14. Let c be i(-7). Let r(v) = 4 - c - 2*v + 3*v + 2 - v**2. Let d(n) = n - 1. What is -4*d(t) + 4*r(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r**3 + r**2 - r + 1. Let f(y) = -y - 1. Let h be f(-5). Suppose -5*l = -h*o + 3, -2*l + l + o - 1 = 0. Is 9 a factor of u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 0.8 (b) -4\/65 (c) 10 (d) 0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -610446\/11 bigger than -55496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a**3 + 26*a**3 - 18*a**3)*(-44*a**2 - 13*a + 97*a**2 - 46*a**2).\nAnswer: -63*a**5 + 117*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**5 + 37*f**4 - 887*f**3 - 153*f**2 + 20*f - 1?\nAnswer: 480*f**2 + 888*f - 5322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 3*r - 4. Suppose 18*n - 17*n = 4. Suppose n*s + 20 = -i, 2*i + 10 = -2*s + 5*i. List the prime factors of a(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p - 5. Let u(y) = -6*y + 4. Let t(s) = -4*j(s) - 5*u(s). Let z(i) = 17*i. What is z(t(b))?\nAnswer: 34*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/((sqrt(16)*-1)\/sqrt(2)) + sqrt(98) + -1 + sqrt(128)*-1)**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 343 = 6*v - v, -2*v + 150 = 4*p. Let z = v + -50. Calculate the remainder when -26*3\/(6\/(-5)) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 868122 and 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12313.\nAnswer: 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**4*k**3 + 216*f**4*k - f**2*k**3 + 38*f**2*k - 101*k**3 wrt f.\nAnswer: 144*f*k**3 + 5184*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/4 and -7\/227?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-45 + 42 + (-1 - 4))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Let b be j(7). Let t be -2 - 0 - b - -12. What is the highest common factor of t and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(108)\/sqrt(4))\/sqrt(9) - (sqrt(9)\/sqrt(3) + -2))**2)*3 - (sqrt(24) - 3*sqrt(72)\/sqrt(3))\/(-3*(sqrt(48)\/sqrt(6) + sqrt(8)) - sqrt(8)).\nAnswer: -2*sqrt(3)\/7 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13417, 13429, 13441, 13453, 13465?\nAnswer: 13477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, 6, 10, 2, 0 in decreasing order.\nAnswer: 204, 10, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -4976342.\nAnswer: -4976338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 469*p**5\/2 + 37573*p**4\/6 + 12677*p**3\/3 - 5354*p**2\/3 + 52*p\/3 = 0.\nAnswer: -26, -1, 0, 2\/201, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjnj when four letters picked without replacement from {j: 7, n: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 0*q + 2*q - q. What is the units digit of i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*p + 68*p - 73425 = 0 for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = y - 4*k, 4*y + k + 4*k = -7. Is (-4419 + 6)\/3*(-2)\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1147, -4610, -10387, -18472, -28859?\nAnswer: -41542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -358287\/7?\nAnswer: -358287\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4619937 - 246564 - 64341 = 156*k. List the prime factors of k.\nAnswer: 2, 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -0.53241\nAnswer: 10.11579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 3*k - 4. Let t be ((-1)\/2)\/((-16)\/96). Let c be a(t). Solve 6*v + s - 8 = 2*v, 20 = -c*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 36516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -25*f - 3. Calculate the remainder when g(-1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + k - 3. Let d be 65\/(-6 - -1)*-1. Let r be 2\/(-6) + -7 + d\/3. Let x be a(r). What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 81 = g, -j - 81 = -g - 0*j. Suppose 5*r - 47 = 248. Suppose -g = -5*d + r. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + 4*sqrt(4))*-2)\/(1*sqrt(98)) + 5 + sqrt(50)*5 + sqrt(96)\/sqrt(3).\nAnswer: 5 + 193*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -4\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*n**2 - 3 + 3 + 22*n**3 - 260*n**2 - 262*n**2 + 309*n**2.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5409069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48151 - 48153.9429. Let j = -0.0571 + d. Put j, -0.2, -0.12 in ascending order.\nAnswer: j, -0.2, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/10 - (23\/24 + -1) and -101\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-23)\/138) + 66. Let f be (-16)\/d - (-1)\/4. Is f greater than -7\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6894094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35656 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*h + 249*h = 428*h - 416 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -309*c + 15762. Determine f(51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1937 + 4563. Suppose -4*w = -b + 1322, 69*b - 2*w = 67*b + t. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7468 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 9:13 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minus 0.13?\nAnswer: 125.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4 + 28*v - 23*v - 5. Let h(u) be the second derivative of 3*u**3\/2 - 3*u**2\/2 - 2*u - 50. Calculate 4*h(w) - 7*l(w).\nAnswer: w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 32284 in descending order.\nAnswer: 32284, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 73. What is the third derivative of 64*m**4 - 37*m**2 + r + 85*m**2 + 1 + 41*m**2 wrt m?\nAnswer: 1536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(0*n**2 - n**2 - n**2) + 3*n**2 + n**2 - 2*n**2)*(3*n + 2*n + n) + (-n - n + n)*(-1 + 1 + 2*n**2).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 5. Let g be (-7 - (-1 + 1)) + 0. Let f(c) = -4 - 37*c + 4 + 39*c - 3. Let s(k) = g*f(k) - 4*q(k). Find the first derivative of s(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v - 32 = 570 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79018928?\nAnswer: 2, 4938683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8095 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.16339 from 100.1.\nAnswer: 98.93661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -123 - 5?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 11:40 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2223 + -2232.702. Let m = -0.098 + d. Let o = m + 10. Which is bigger: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 773363*a**2. Let u(h) = -2*h**2. Determine d(u(n)).\nAnswer: 3093452*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 6. Let z be s(3). Suppose z*u + 210 = 5*u. Let r be 26\/u + 2\/(-7). Which is the smallest value? (a) -1\/3 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33944940*s + 4045*s**5 + 33950483*s - 722*s**5 + 2 wrt s?\nAnswer: 66460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (104607\/210)\/1. Let x = r + 2471\/5. Calculate the common denominator of -5\/4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4748 - 1861. List the prime factors of o.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -166 + c12?\nAnswer: a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10749134*-0.8\nAnswer: 8599307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -373328000 rounded to the nearest 1000000?\nAnswer: -373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428586318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -38 (c) -79.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9) + (33\/75)\/((-87)\/145).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgt when three letters picked without replacement from {t: 3, d: 4, n: 2, g: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2342 - 1293. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.16 <= 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 17. What is the derivative of -4*b**4 + 28*b**3 - 28*b**3 + u wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02197 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 11*v**2 + v - 14. Suppose 82 + 160 = 22*x. Give g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -28\/3, 4.6, -5?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10\/19, 3, 0.15 in descending order.\nAnswer: 3, 1, 0.15, -10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 1071477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -122. Let m be 24 + -7 + v + -2 + 0. Solve 5*n = 5*k + 6 + m, -5*k - 29 = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 23289966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47242 - -78878. Let l be (3 + m\/(-12))*-3000. Round l to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 6*d + 5. Let b be v(-5). What is the nearest to b in -0.3, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-1)\/2)\/(1\/(-4))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose -f + c - 2*c = 29, -a*c + 32 = -f. Calculate the common denominator of 3 + (-1 - 87\/f) and 57\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 2*w - 1. Let i be t(1). Suppose -2*k + i*k = 40. What is the greatest common divisor of k and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -101*f - 1. What is the units digit of w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 19*d**3 - 5*d**2 - 6*d - 7. Let p be (-8 + 13)\/(-2 + (-6)\/(-2)). Is q(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-96)\/(-189) + (-2)\/9. Let g be (-4)\/22 + 15\/264. Let r = -3 - -4. What is the nearest to t in -3\/8, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(7 - 6))\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20. Solve 0*t - t - 2 = y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/((402\/(-18) - -22)\/((-460)\/(-36))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 7*y**2 - 23*y - 109. Let a be z(-8). What is the second derivative of 3*q**2 - 24 + 167*q**2 + a*q - 68 - 12*q wrt q?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 2\/9, 4, -2, -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {l: 10, c: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1879*d - 208*d - 467*d + 1305*d + 732*d.\nAnswer: 3241*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((sqrt(66) + -3*sqrt(66))\/sqrt(6))*-2.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53520830 or 53520829?\nAnswer: 53520830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 9. Suppose -3*y + 22 = 5*d, 0*d - d - 2*y + r = 0. Let h be 4\/14 + (-20)\/21. Which is the nearest to h? (a) d (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 8) to base 12.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**4 - 6*w**2 + 1. Let u(l) = -l**2. Let a(s) = -g(s) + 4*u(s). Let r(b) be the first derivative of a(b). Find the second derivative of r(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1254 + 956. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5821937713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23805942211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d. Let c(q) = -25*q + 40. Let m(l) = -2*l + 3. Let r(g) = 3*c(g) - 40*m(g). What is n(r(v))?\nAnswer: 40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -19 in decreasing order.\nAnswer: 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.0454\nAnswer: -3.1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + (sqrt(5) - 2*sqrt(5)) + 2 + sqrt(720) - -2*sqrt(5)*-1*-3.\nAnswer: 3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4730 times -13068\nAnswer: 61811640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnnnncnnnnnnnn. Give prob of picking 3 n.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 83*y**2 + 39*y**2 + 52*y**2.\nAnswer: -2*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x**2 - 7*x + 95. Let m(r) = 13*r**2 + 3*r - 47. Let p(o) = 7*m(o) + 3*u(o). Differentiate p(g) with respect to g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 620168\/20135 + -2\/4027. Let y(f) = 7*f - 4. Let k be y(1). Suppose -98\/5*i**k - b*i**2 - 64\/5*i - 8\/5 = 0. Calculate i.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 234 = 5*l + 111, -3*l - 5*p - 404 = 3*l - p for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -51 (c) 4\/5 (d) -2 (e) -0.1 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 218?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -18*j + 2. Let w be p(-6). Let v = 225 - w. What is the remainder when v is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(2 - 5)*10500\/40. What is the greatest common factor of 168 and n?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from lgukk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 1848, 4177, 7438, 11631?\nAnswer: 16756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 30 = -2*i - 5*c, 0 = -3*i - 3*c + 21. Let w = i + -1. Suppose -w*p + 6 = 2*z, -5*p = 2*z - 0 - 9. Solve 6*y - 12 = p*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 - -51. Let n be f\/((4 - (2 + 1)) + 0). Suppose -o + 4*k + 66 = -43, n = -2*o - 3*k + 229. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + ((-103)\/3 - 196\/(-147)). What is the fourth smallest value in -1\/4, 1.1, n, 0.2, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -2, 0, 6 in descending order.\nAnswer: 6, 0, -2, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2249 + -2202. Put -3\/5, -2, -4, q, -3 in increasing order.\nAnswer: -4, -3, -2, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/4 + 1605*t**3\/4 + 107289*t**2\/2 = 0. What is t?\nAnswer: -273, -262, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 303, 1008, 2379, 4638, 8007?\nAnswer: 12708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let t(n) = -n**3 - 2*n**2 + 3*n + 3. Let w be t(-2). Let o be 2 + w - (-1 - 0). Let j(i) = 4*i + o*i - 4*i + 4*i. Determine j(d(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8247, 8080, 7823, 7494, 7111, 6692?\n\"Answer: 3*u**3 - 63*u**2 + u + 8306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2464 and 93280?\nAnswer: 652960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -55\/743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 9:03 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 6*m**2 + 5*m + 7. Give x(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109040, -54, -8.\nAnswer: -109040, -54, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240575750 divided by -250.\nAnswer: 962303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*o - 159*o - 982*o + 7512 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 28*i + 1179. What is the remainder when h(-33) is divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 115*w**4 + 3038*w**3 - 3266*w**2 - 3037*w + 3151 = 0 for w.\nAnswer: -23, -1, 1, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5119021 and 0?\nAnswer: 5119021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 46 + 153 = -5*n, 4*i - 120 = n for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -48. Suppose 42 = 2*z + f. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 2*o**2 - o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805518 to the power of 1\/2, to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130*(-708)\/337480)\/((-414)\/(-44))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6314 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Suppose -4 = t*k - 24. Solve -k*a = -2*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -17. Let s(j) = -2*j + 4 + 0*j**2 + 4*j + j**2. Let o(d) = -d - 1. Give f*s(x) + 2*o(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 118*x**2 - 3 + 3 in the form m + o*x + p*x**2 and give p.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -4. Suppose y = s + 5*s. Solve -4 - s = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -58435, -58438, -58441, -58444?\n\"Answer: -3*j - 58432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 15. Let q be c(-3). Solve i = q*i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591006 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or 4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -374846, -374859, -374872?\n\"Answer: -13*t - 374833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*q + 32*q + 31*q + 31*q**3.\nAnswer: 31*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1634)\/(-551) + 7\/203?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/140*2*((-20)\/4)\/10.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 22*t + 22. Does 19 divide k(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284171526 - 284171526 - 546*z**2.\nAnswer: -546*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 19*a**2 - 23*a + 24. Let t be g(-20). Calculate the greatest common factor of t and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -144805, -144806, -144807, -144808?\n\"Answer: -y - 144804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 12. Let b(c) = c + 1. Let i(x) = -2*b(x) - k(x). Let j be i(-5). What is the highest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 + (-186)\/120)*5)\/(189\/72). Solve 6\/7*x - y*x**3 - 4\/7 + 2\/7*x**4 + 2\/7*x**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2761 - 3085. What is o rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*-1*(sqrt(176) + sqrt(176)*-2 - sqrt(176)) - (5 + sqrt(176) + -2*sqrt(176) + (sqrt(176) + 0)*-5))**2*6.\nAnswer: -26244 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 3:07 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -9.6. Let m = -1256917519 + 1256917527.00000013. Let a = f - m. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27570)\/(-315)*(-338)\/4. Let s = -7398 - o. What is the common denominator of s and 109\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/900 and -193\/4200.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 9 = i, 73*i - 152*i - b = -76*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4462?\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/20)\/(2\/5). Let q = -81 - -568\/7. Which is the nearest to 2\/5? (a) z (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1622 - -3092. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33, -82, -165, -282, -433?\n\"Answer: -17*f**2 + 2*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 477.1 + -456. Let a = c - 16. Let k = 1.1 - a. Put 0.5, k, -3\/7 in ascending order.\nAnswer: k, -3\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -6 - -4)*6*12\/1080. Let s = 2275 + -2285.07. Let v = s - -10. Is x smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/5 - 113698*j**3\/5 - 2274292*j**2\/5 - 1546552*j - 7277952\/5 = 0.\nAnswer: -16, -2, 113718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -9\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 10) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 20*t - 162 + t**3 - 20*t.\nAnswer: t**3 - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*t**3 - 6 + 6 - 91*t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/31)*a)\/a**(-5\/4)*a\/(a**(-3\/5)\/a)*a**(-2\/25) assuming a is positive.\nAnswer: a**(14487\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53542342 - -1?\nAnswer: 53542343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 19\/2*h**3 + 0*h**2 + 0 - 30*h. Let j(c) = 2*c. Give r(j(v)).\nAnswer: 114*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (2 + -1*sqrt(1300)))**2 + ((sqrt(13) + -1)**2*1 - (5 + sqrt(117))).\nAnswer: -85*sqrt(13) + 5213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 2*z**3 + z**3 + (4*z**3 + 2*z**2 - 2*z**2)*(1 + 0 + 0) + z**3 - 2*z**3 + 3*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let z(y) be the first derivative of -5*y**3\/3 + 12. Calculate z(r(v)).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7723149 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - r + 3*r - 14*r + 11*r + 1.\nAnswer: -6*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 3*f**3 - f**3)*(1 + 4 - 4) + (-f + 0 + 0)*(1 - 1 - 2*f**2) + (147 - 707 - 439)*(-3*f + 3*f + f**3).\nAnswer: -996*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.034 - 236.\nAnswer: -236.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 12 - 14. Let f(r) = -2*r - 10. Let d be f(-9). Suppose -n + d = -s, 4*n = n - 2*s - 1. Solve -w*o - n*o = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + 1. Suppose k*d = d + 3. What is the remainder when 2 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(10) - sqrt(10)*1)*-5)\/(sqrt(16)\/sqrt(72) - sqrt(2)) - ((-2*sqrt(5))**2*-4 + 4)*4).\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 2:28 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a factor of 77809301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4551 - 9099 - 2*x + 4548.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j. Suppose j = -4*x + 3*x + 1. Does x = 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32606 = -5*r - 102141. Let p = -4461 - r. Suppose 775 = 3*u - p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/10 - i**4\/2 + 5*i**3\/2 + 2*i**2. What is the remainder when v(5) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 + 4.9. Let x = k + -3. Let y be 5 - (498\/54 - 4). Which is the nearest to -0.1? (a) -0.5 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 6. Let n be l(10). Let m be (-21)\/n + (-6)\/4. Let k = 5 - 8. Does k = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1719 - -2647. What is the greatest common factor of 377 and v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 3569?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17755437 divided by -21\nAnswer: -845497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12407 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.15? (a) -1\/2 (b) 70 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 22610\/510)\/((-82)\/3).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5631*t**3 - 59 - 2818*t**3 + t**4 + t**4 - t + t**2 - 2813*t**3 in the form q*t**4 + k*t + w + y*t**2 + o*t**3 and give w.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3774549 + 0\nAnswer: 0.3774549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32371229 or 32371226?\nAnswer: 32371229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(29\/3)\/((w\/(w\/(w**8\/w)))\/w*w))\/((w\/(w**(-5\/11)\/w))\/(w*w*((w*w\/(w\/(w\/w**(-33))))\/w)\/w)))**(-1\/48) assuming w is positive.\nAnswer: w**(-581\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 - 2)*(-5*i + 14*i - 6*i)*(4 - 2 - 1).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*b - 2*q, -3*q + 56 = 3*b + 8. What is the remainder when 19 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 13*y**2 + 5*y - 4. Let u(d) = -d**3 + 0*d**3 - 7*d**2 - 2 - d**3 + 2*d. Let g(x) = 5*u(x) - 3*z(x). Suppose g(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/7 - 3770*r**2\/7 - 259882*r - 5695858 = 0.\nAnswer: -931, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 292*g - 3703. What is c(-132)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 245958.\nAnswer: 1\/122979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6312135 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -95, -127, -141, -131, -91?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480729431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -561 + 571. Suppose 18*i - 168 = a*i. What is the remainder when 98 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 683284, 683285, 683286, 683287?\n\"Answer: z + 683283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(9\/(-8)*(-44)\/33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 996.7136kg?\nAnswer: 996713.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, n: 4, k: 2}. Give prob of sequence xnnn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 19*k**2 - 6*k + 114. Let w be s(-11). Let u = w + 890. What is the highest common divisor of 85 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7738 (base 9) to base 6.\nAnswer: 42225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 33. Solve 77 + 13 = -t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8694 + -13.394185759.\nAnswer: 8680.605814241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*d - 1392, 13*d - 138 = -2*g - 0*d - 0*d + 10*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 22. Let s = -30 + i. Is 7 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55105 = 5*w + 5*f, 11*w + 3*f = 12*w - 11005. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 492*i**2 + 440*i**2 - 15*i**2.\nAnswer: 917*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 9*z**2 + 43*z - 141. Calculate k(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7830000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -24*h**3 + 18. Suppose p = -3, -17 - 7 = -v + 2*p. Let o(r) = r**3 - 1. Give v*o(z) + f(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(180)\/sqrt(4)))\/(sqrt(144)\/sqrt(8)*3 - sqrt(18)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*k - 68 = -44*k - 4730. Calculate the greatest common divisor of k and 2738.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o - 10. Let a be t(6). Let n be -2 + a\/20*19. Let r = n + -37\/30. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 239?\nAnswer: -2\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-42)\/(13 + -7)))\/(1\/6)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4983283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76723116*o**3*z**2 - 2*o**3*z - 2*o**2 - 70*o*z + 3*o - z + 105 wrt z.\nAnswer: 153446232*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6074*x - 30293. What is q(-5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Let l = 15.2 - 15.5. What is the second biggest value in l, -1\/2, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -1768*u**2 - 4*u + 2. Let v(j) = 3389255*j**2 + 7670*j - 3835. Give 11505*d(h) + 6*v(h).\nAnswer: -5310*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3041220 and 233940.\nAnswer: 3041220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/3)\/((-80)\/(-288)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 11 + 713. Let f = d + 240. Solve -f = -3*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 1 = -15*z - k, -5*z - k + 19 = 0. Let r(n) = -2*n**3 + 5*n**2 + 3*n**3 + 1676*n - 2*n**z - 1677*n. Determine r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190080000 rounded to the nearest 1000000?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 98, 49, 0, -49, -98?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(3\/(-9) + -1). Is k > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -248, -1047, -2500, -4709, -7776, -11803, -16892?\n\"Answer: -17*d**3 - 225*d**2 - 5*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -152. Suppose 16 = -5*t + 3*t. Let j be 6\/(-3)*(-6)\/t. Which is the nearest to -2\/3? (a) 2 (b) j (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/15 + 157\/255. Let n = -7601\/3 + 2533. Put 2, g, n in decreasing order.\nAnswer: 2, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 8. Suppose -12*r + w*r + 60 = 0. Suppose 4*m - 23 = 2*n + n, -5*m = 5*n + r. Solve 5*g + 4*c = 19, m*g + 3*c - 4 = 5*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 12 = -16*q - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690343?\nAnswer: 137, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 7*x + 3. Let w be a(6). Suppose -4*z = -z - w. Let h be 4\/(-6)*4*z. Is h bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55466069 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.126?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -38*k - 219. Let d(t) = t**3 + 5*t**2 + t - 1. What is d(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112123030 (base 4) to base 8.\nAnswer: -11263314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1938 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 - 11*u**3 + 31*u**3)*(-2*u - 2*u**2 + 71 - 41 + 36).\nAnswer: -30*u**5 - 30*u**4 + 990*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xit when three letters picked without replacement from tixiittxxiixtiti.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3604757217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 93, 1240, -572 in decreasing order.\nAnswer: 1240, 93, -4, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.77 or -532\/5?\nAnswer: -1.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75512 and 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 671 - 1289 = 0. Let d = u - -691. What are the prime factors of d?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 - b**2 + 1. Let t be p(1). Let s be (-12)\/27*2\/t. Factor -s*u**2 + 0*u + 2\/9.\nAnswer: -2*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6308210 to the power of 1\/2, to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 32, 20, -290 in descending order.\nAnswer: 32, 20, -23, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -p - 48 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/6374472?\nAnswer: -7\/6374472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 42486*u**2 + 31138040*u.\nAnswer: u*(u + 746)*(u + 41740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 31*x + 354. Is 27 a factor of l(44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601637241599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -5099\/60. Let q(d) be the third derivative of 0*d**4 + 0*d**5 + 0*d + x*d**6 + 0 + d**2 + 1\/2*d**3. Find the first derivative of q(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 - (1 + 1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 7 + -12 + -5 - 27?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 13 = -3*i + 2*m, -33 = -3*i - 2*m. What is the smallest common multiple of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 1985 = 11*n. Let b = n + 710. List the prime factors of b\/8 + 7\/(-56).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -17*m**2 + 6*m + 42. Let h(p) = 527*p**2 - 187*p - 1309. Let x(f) = -187*d(f) - 6*h(f). Let w(o) = 800*o**2. Determine x(w(j)).\nAnswer: 10880000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 29*o**2 - 26*o + 31. Let z be m(28). Let g(s) = 2 - 2 - z*s + 85*s. Let c(b) = 2*b**2 + 65*b. Determine c(g(f)).\nAnswer: 8*f**2 - 130*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*x, 5*y + 3*x - 405 = -2*x. What is the third derivative of 0*t**2 - 1 + y*t**3 + t**2 + 23 + 64*t**3 - 3*t**2 wrt t?\nAnswer: 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 58*n**2 - 3. Let w(v) = -1. What is 12*w(h) - 4*x(h)?\nAnswer: -232*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 6:04 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 4*o - 6*o**2 + 1 - 5 - o**3 - 3*o. Let r be (-14)\/((-1 + 0)*-1). Let q = r - -9. Calculate n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101841 or -101827?\nAnswer: -101841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1 - 2 + 1 + h - 1. Let b be y(3). What is b rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 29. Let o(s) = 39*s - 1. Determine o(i(z)).\nAnswer: -78*z**2 - 1132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 155 = -0*b. Suppose -3*v - 5*x - 56 = 0, 0*x + 2*x = -2*v - 36. Let m = b + v. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6350 and 110250.\nAnswer: 14001750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206551 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 0, 0 = 2*s - 3*s - 2*p + 9. Let r = s + 6. Suppose -3*z + 5*b + 180 = 2*z, 3*b = r*z - 188. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -612 + 1801\/3. Let t(j) = -j**2 - 5*j - 6. Let l be t(-4). What is the common denominator of c and 6260\/(-550) + l\/(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1410 - -1443. Let o = -4 + -2. Let q = 11 - o. What is the remainder when d is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**2\/2 - t + 459. Let f(i) = -6*i - 5. Calculate -34*c(b) + 6*f(b).\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 23) + 20 + 12 + 0 + -2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -2 - (-13 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 1 - (-13 + (14 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85980 is divided by 41646.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.083752 rounded to two dps?\nAnswer: -89.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from hhhhzyhzvzyhyhyyy?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1*2\/14. Let h = 106\/13 - 8. What is the second smallest value in h, 0.5, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(0*q - 2*q + 0*q)*(-2*q**2 - 4*q**2 + 4*q**2) - 4*q**3 + 0*q**3 + 0*q**3 to the form x*q**2 + p*q + s*q**3 + t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 126. Let n = -1 + -2. Suppose 0 = -2*r + 7*r + 25. Sort r, d, n in decreasing order.\nAnswer: d, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-75)\/20)*-4. Solve -1 = -f*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31274*i*r**3 + 6*i*r - 2*r**3 - 3027*r**2 wrt r.\nAnswer: -187644*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-1)\/4)*72\/(-243).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiikiiikiiii. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**8\/420 - t**7\/210 - t**6\/90 + t**5\/30 + 11*t**3\/3 - 27*t**2. Let g(u) be the first derivative of d(u). Factor g(i).\nAnswer: 4*i*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 3. Let w be u(3). Let c = 11 + 4. Solve 5*l = -w*l - c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h - 18*h = 4438 + 3811 - 683 for h.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - -0.81. Is 0.1 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4972140 divided by 5.\nAnswer: -994428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 7*h + 7. Let j be c(-5). Let b be 1*((j - -4) + 0). Which is smaller: -2\/13 or b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 9*n - 3025. Does 69 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 195739, 195752, 195769, 195790?\n\"Answer: 2*f**2 + 7*f + 195730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -16, 1, 3 in decreasing order.\nAnswer: 30, 3, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/48 and 27\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48964009 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 - (2 + (37 - 46)) - -9?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f. Let r(b) = -18*b. Give r(n(m)).\nAnswer: -180*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2077341 (base 9) in base 14?\nAnswer: -210092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxccxccac. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1761)\/(-3666) - (-74)\/(-148). Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64522, -128936, -193132, -257002, -320438?\n\"Answer: 18*b**3 + b**2 - 64543*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111827\/57002 - -3195242049\/75613153. Let m = j - 619\/14. Is m less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, 4, 1, 5, 539 in increasing order.\nAnswer: 1, 2, 4, 5, 21, 539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = 3. Suppose 0 = -5*z - r*o + 5, 5*z + 16*o = 19*o + 37. Solve -2*x - 3 - z = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 24, 95, 236, 471?\n\"Answer: 4*g**3 - g**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g + 98 = 20*g - 47 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 2\/5, 0, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 + 378*l**2 + 2501*l + 258. Determine s(-119).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/7 + 4\/14. Let k = -100 + -30. Let f = k + 652\/5. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -8391?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/11 - 6024010*u\/11 + 12048012\/11.\nAnswer: 2*(u - 3012003)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 18*u = 30 + 55 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 5*y**3 - y**3 + (4*y**2 + y**2 - 4*y**2)*(-3*y + y + 3*y) - 5*y**3 + 2*y**3 - 4*y**3)*(0 - 5 + 4)*(2*y - 4*y + 0*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/286368 and 55\/14444?\nAnswer: 6586464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178269.703 to the nearest 10.\nAnswer: 1178270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -25*(-2263)\/31 + (0\/(-1))\/(-1) is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) - (0 - 3). Suppose 0 = -3*i - 3*m + 84, -28 + 0 = -i - p*m. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 + 119*k + 696. Give r(-6).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049211641 rounded to 4 decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 972 (c) 15 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 - 13*b**2 - 23*b - 5. Let f be g(-2). Is f >= 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123320 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 + 7*i - 5. Suppose 17*t = 15*t + 100. Suppose 3*q + t = -7*q. Let l(o) = -2 + 0 + 1 + o + o**3. What is q*l(w) + h(w)?\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -12a9?\nAnswer: 129c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*k - 141, -5*k = 5*d - 116 - 214. Let n = -67 + k. What is the second derivative of 208*c**5 - 5*c**n + 20*c + 5*c**2 - 194*c**5 wrt c?\nAnswer: 280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 5*i. Let n(d) = -4*d**2 + d - 2. What is n(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 800, 803, 806, 809, 812?\nAnswer: 815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 274129, 1096519, 2467177, 4386103, 6853297, 9868759, 13432489?\n\"Answer: 274134*o**2 - 12*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 + 36*l**2 - 8*l - 144 = 0. Calculate l.\nAnswer: -18, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + sqrt(3)*1) + -5 - (-5*(-1 + sqrt(17)) + -4)**2.\nAnswer: -431 + 21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011110 - 1010?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 3*f. Let r be l(5). Let t be 3\/15 - 78\/r. What is the smallest common multiple of (t\/(-3))\/(-2)*9 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 7310946?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665649963 divided by 33.\nAnswer: 20171211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmo when three letters picked without replacement from ommohmmmmm?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 3\/2 (c) 0.1 (d) -2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = 93*a - 772 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**3 - f**2 + 4*f - 12. Let l be n(4). Let c = 500 - l. Solve c = 7*i - 10*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 668695768*j - 145103845.\nAnswer: 668695768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/16)\/(15\/10))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -0.1, -0.12 in descending order.\nAnswer: -0.1, -0.12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8*w - 15. Let t = -104.537 + 67.537. Which is the closest to t? (a) -0.5 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629, -3, -237.\nAnswer: -629, -237, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -17*h + 404. Let x be b(23). Let c(g) be the second derivative of g**5\/20 - g**4 - 7*g**3\/6 + 7*g**2 + g. What is the units digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/24 - q**3\/3 + q**2. Suppose 0 = 3*k - 0 + 9. Calculate w(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326566957?\nAnswer: 17, 19209821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - 166. Let r = -4 + 0. Let f be (-4 - -3) + r\/(-3). Which is the closest to -0.5? (a) f (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63444179\/53121 - 2\/53121. Which is bigger: p or -1194?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 78. Determine b(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 5592513*s**2 - 2606352934185*s - 2606347341675.\nAnswer: -3*(s + 1)*(s + 932085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159 and -563.\nAnswer: -89517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = 19. Calculate the highest common factor of t and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7929445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Let x = w - -4. Suppose -f = -x*f. Solve f = -4*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 24. Let c = -9 + m. Suppose -23 = c*r + 4. Calculate the common denominator of r and -3\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/3 + 2780\/4. Let z = 3033 - d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -14*v**2 + 2*v - 1. Let b be w(1). Let o = b + 19. Suppose -o*m + 3*m = 0. Solve -4*j + m*j + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -148990.\nAnswer: -2\/74495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134145 divided by 1355.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6393 + -6385. What is the closest to -1 in 1\/4, 0.05, b?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532 at least as big as -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**2 - 8 + 2 - 21*k**2)*(1 - 249*k + 810*k - 428*k).\nAnswer: 532*k**3 + 4*k**2 - 798*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -771 divided by -3?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 2837*l**4\/2 + 40585*l**3\/2 - 92005*l**2 - 60336*l + 50544 = 0. What is l?\nAnswer: -1404, -18, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 134. Suppose -540 = -5*r - f*l, 2*r + 21*l - 25*l - 240 = 0. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -750*y - 72. Let x be ((-3)\/(-9))\/(5\/(-75)). Let d(t) = 107*t + 10. Let c(l) = x*m(l) - 36*d(l). Let o(f) = -2*f**2. Determine c(o(s)).\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d + 672. Let z be k(-52). What is the greatest common divisor of z and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 398421881 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*47\/(517\/(-22))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 + 4*b + 1. Suppose v = 4*n - 15, 34 + 16 = 5*n + 5*v. Suppose 3*y = 2*y + n*x - 25, 29 = -5*y + x. Calculate c(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18 + 18)\/(-17))\/1. Solve 2*t - 29 = 4*b - 33, 3*b + 3*t - 21 = a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -50?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5384*h**3 + h**2 - 13*h - 13. What is the thousands digit of c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 935766\/(-496) - 6\/16. Is -1887 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**2 + 32*b - 6. Let l(y) = -y**2 + 6*y + 15. Let c be l(8). Let n(j) = j**2 - j + 1. Let r(f) = c*h(f) - 6*n(f). Find m, given that r(m) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4534.598 meters?\nAnswer: 453459.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 185*p + 184*p + 9 - p**3 + 6*p**2 + 6. Let w = -10 + 5. Let y be v(w). Calculate the greatest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 200 - 47. What is the remainder when 167 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509540.7mm to micrometers.\nAnswer: 509540700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1900) + 5.\nAnswer: 6 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5))**47*(p*p\/p**(-8))\/(p*p\/(p**(2\/7)\/p)*p))**(-5\/6) assuming p is positive.\nAnswer: p**(-183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5 + 7. Let o be ((-110)\/(-6))\/((-2)\/u). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 377, 568, 761?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 602104 - 132426 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22399.8 times 0.0926?\nAnswer: -2074.22148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (-3 + sqrt(405))**2 + 1 - (2 + sqrt(405))*-5) + -2.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*p - 87 + 87)*(-359 - 2*p**3 - 9*p**2 + 179 + 183).\nAnswer: -46*p**4 - 207*p**3 + 69*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0, -1, -12\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -19*(-20 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -110. Suppose -163 = -w - o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4*b - 2. Let q be 6\/(-10) + 72\/20. Suppose -z + 2*x + 16 = -2*x, -2*z + x - q = 0. Let r(a) = -3*a**2 - 11*a + 6. What is z*r(w) - 11*s(w)?\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + a + 9)*(0 - 2*a + 0) + 4*a**2 - 4*a**2 + 4*a**2 + (a - a + a)*(1 - 1 + a) + a**2 + 0*a**2 + a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24*q**2 + 553*q - 26. Let s(a) = 11*a**2 + 278*a - 12. Give -11*s(z) + 5*t(z).\nAnswer: -z**2 - 293*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggjggjggjjgj. Give prob of picking 3 g and 1 j.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from {w: 7, c: 5, z: 1, s: 6}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (160\/(-24) - -7) + 2\/(-6). Solve 1\/2*w**2 - 3\/2*w**3 - 1\/2*w**5 + 0*w + x + 3\/2*w**4 = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4758\/109 - -1420822\/32809. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*d - 16636, 5*i - 1385 - 9691 = -2*d. What is the remainder when d is divided by 185?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10709, 10701, 10693, 10685, 10677, 10669?\nAnswer: 10661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.4 + -35.6. Sort v, 11\/5, 1\/2, -0.3 in decreasing order.\nAnswer: 11\/5, 1\/2, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1 + (-15)\/(-6)) - -2. Solve t*w - 6 = 2*w - 5*a, -15 = 5*w + 2*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89420070?\nAnswer: 2, 3, 5, 2980669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 118424471211 + 53\nAnswer: 118424471264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*r + 1951 = -2081 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 545925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*k + 250*k - 58517 - 46663 = -13395 for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 15327?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from lsvnw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/10 - (-38)\/10. Let v be ((-15)\/(-3))\/15*(12 + x). Suppose 8*b = v*b. Solve b*l + 10 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 28*g + 6. Let z(l) = -671*l - 143. Let d(k) = 143*y(k) + 6*z(k). Let u(i) = i**2. Calculate d(u(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000553627968 rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 62 + 12 = 0. Let j be 6 + 4\/(-6 + -20*(-3)\/12). Solve -j*l - k = -2*w, -w - 1 = l + 4*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Let u(s) = 5*s**2 + 1 + s - f - 2*s - 4*s**2. Suppose 3*b - 3 = 2*b. Determine u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004480069 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:17 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 + 184. Suppose b*u + 47 = 25. Is u less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87.8 - -86.833. What is f rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -7*i - 36 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - (-11 + 0). Let u be (0\/(-2))\/(-1 - -2). Let k = u + c. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4 - 14 = 0. Let h(b) = -7*b + 2. Let f be h(z). Let w = f + 31. Solve -n = 3*n + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0655059 microseconds?\nAnswer: 0.0000000655059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**3*g**3 - 8*a**3*g**2 + 25*a**3*g + a**2*g**2 + a**2*g - a*g wrt g.\nAnswer: -24*a**3*g - 16*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 779 + -775. Solve -4*h + 13 = 4*a - 7, -2*a + z = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 745851.45, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/(-1)*(63\/6)\/21?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 1. Let p(o) = -2*o. Let i(w) = 3*f(w) + 5*p(w). Let m be i(-2). Let l be 8\/(-5) + 1 + m. Is -3 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3187 + -3180. Let m(q) = -q**3 + 9*q**2 - 7*q + 4. What is m(h)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67500 by -45.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 + 98*c + 287. Determine d(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(900) + (-1*sqrt(3025) - sqrt(3025)))\/((sqrt(2835)*-3)\/sqrt(7)).\nAnswer: 34*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4) - 2)*2. Let x be (-20)\/(-11) + 10\/55. Let v(o) = x*o**2 - o**2 + 0*o**2 + 4 + 5*o - 2*o. Calculate v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*y = -4*y - 3, -1 = -i - y. Let b(p) = -5*p - 2 + 2*p - p**3 + 0*p**3 + 1 - 2*p**i. List the prime factors of b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6256 or -6255?\nAnswer: -6256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*u - 4 = -9*u, 3*u = 4*a + 3. Let i be ((-2)\/(-3))\/(4\/((-288)\/(-258)) + -3). Determine f, given that i*f**2 + a + 16\/7*f + 1\/7*f**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 758*y - 95974. Calculate u(126).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - o**4\/4 + o**3\/6 + 6*o**2. Let r(k) = -k**2 + 12*k - 1. Let c(l) = -4*r(l) - 7*s(l). Factor c(d).\nAnswer: -3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Let l(o) = 3*o + 0*o - o + 4. Is 7 a factor of l(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016606657 to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**2 + 4*g**3 + 33*g**2 - 56*g**2.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*r = -3*r - 3, 4*m + r = 75. Let o be (11 - (4 - 3))\/(2 - 1). Solve -2*y = -o + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 7*z - 28. Let q be j(-10). Suppose q*o = 123 - 23. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 10*h + 8. Let o be a(9). Let y(b) = 17*b**2 + 1. Does 18 divide y(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -264.\nAnswer: -17\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 12 = -26*g. Suppose -3*m - 3*b = -13434, -7*b - 13402 = -g*m - 2*b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81171?\nAnswer: 3, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 652.9558m?\nAnswer: 0.6529558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*c + 3*z, -3335*z + 3340*z + 155 = -28*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6104 = 4*j - 6132, -4*j + 3*p + 22 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.92 + -18.38. Let q = x + 10.9. Round q to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 17 = 3*q - 2*q + q, -4*q = 3*v + 59 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2158*b + 90*b**2 - 91*b**2 + 2158*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 5*n - 71 = 0, 2*l + n = 323 - 312 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/6)\/(4 - (-46)\/(-12)). Let t = 42 + j. Let a be 96\/(-112)*7\/t. Solve f - a*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**4 + 3*b**3 + 3*b**2 - 9. Let p(d) = d**4 + d**3 + d**2. Let o(r) = -3*p(r) + t(r). What is the first derivative of o(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 3322*s - 9960.\nAnswer: -2*(s - 4980)*(s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 + 3*j**5\/8 + 5*j**4\/6 - 26*j**3\/3 - 11*j**2. Let x(i) be the first derivative of p(i). Differentiate x(c) wrt c.\nAnswer: 6*c + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11021, 10996, 10957, 10904?\nAnswer: 10837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24) + sqrt(24))\/sqrt(12) - sqrt(12)\/(4*sqrt(6)).\nAnswer: 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10502, 20984, 31440, 41858, 52226, 62532?\nAnswer: 72764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-26)\/(-16) + -1). Let a = f + 9\/8. Let 1\/2 - q**2 + 3\/4*q - 3\/2*q**3 + 3\/4*q**5 + a*q**4 = 0. Calculate q.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/297)\/(1\/30*(-2)\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 - 2*g - 3. Let d be b(-2). Let o(j) = 3*j**2 - 1. Let l be o(d). Suppose -l*a = 5*n - 91, 3*n - a + 5*a = 63. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2, -3, 4, -1 in descending order.\nAnswer: 19, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 437 - 612. Let y = p - -190. Calculate the remainder when 28 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 154\/9 (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107747744*w - 9795*w**3 + 107747744*w + 3 + 849*w**2 wrt w.\nAnswer: -58770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g + 12*g - 12*g + 73*g + 24*g as x + o*g and give o.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/b**(-1\/4)*(b**(4\/9)\/b)\/(b\/((b*b**(-2\/13))\/b)))**48 assuming b is positive.\nAnswer: b**(-12092\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 17*j**2 - j + 23. Let c be o(17). Suppose -c = -d - 2*d. Let u = 29 + -7. Solve -2*t = a, d*t + 4*a - u = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541090202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342114720.\nAnswer: 2, 3, 5, 712739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748 - 264 = -46*y. Let w be -3 - (-2 - (8 + -3)). Suppose w*z - 20 = 2*j + 8, 42 = 5*z + j. Calculate the remainder when y is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(272) + 2 + -3 - (4 + (3*sqrt(153) + sqrt(153))*-1)**2.\nAnswer: -2462 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 96*o - 1919. Let c be s(113). Factor 14\/11*f + 12\/11 + 2\/11*f**c.\nAnswer: 2*(f + 1)*(f + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*x - 28, 4*x + 1 = -h + 24. Let g(o) = 5*o - 2. Let p be g(4). Suppose 0 = 4*u - p - x. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let p be r(-1). Let j = 141 - 147. Let i = j - p. Are i and -8 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-6)*27\/(-5))\/((-30)\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 - 0.86. Let t = -14.6 - -16. Let w = -1 + t. Which is the smallest value? (a) -9 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(0*a**4 - 2*a**4 + 0*a**4)*(-10 - 4 - 11)*(2*a + a - 2*a).\nAnswer: -50*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 17*p = -8*p + 36 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csb when three letters picked without replacement from yjsyssszjbbsjjc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12*h**4 + 525*h**3 - 6168*h**2 + 9009*h + 2646 = 0.\nAnswer: -1\/4, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5227, 10454, 15681, 20908, 26135?\n\"Answer: 5227*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*92\/6. Suppose 2*t = 4*t + 4. Is (t + g)*4\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4084535.\nAnswer: 5, 7, 13, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Suppose -5*x = -8 - 7. Suppose -5*g = -x*g + l. Sort g, 3, -4 in decreasing order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -69*z**2 + 10*z - 10. Let s(w) = -171*w**2 + 24*w - 24. Let n(o) = 5*s(o) - 12*t(o). Let x(d) be the first derivative of d**2 + 7. Calculate x(n(j)).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 9*k**2 + 25*k + 20. Let q be f(11). Let x = q + -94. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 2)*1\/1. Let w(m) = -m - 9. Let r be w(-14). Suppose -3*l = -d*i - 261, i - 662 + 221 = -r*l. Is l a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 139 = -25. Let q = n + 40. Solve 5*u = -3 - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -430\/1857 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -723 plus -118.28?\nAnswer: -841.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20064067 to the power of 1\/2, to the nearest integer?\nAnswer: 4479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19530 and 160425.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 277.\nAnswer: 3\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.816, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 145 - 352 + 68 - 44 - 56.\nAnswer: 2*z - 239","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 8 = 0. Suppose s - 1219 = -4588. Let v be (-6)\/b - s\/6. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3328769*c**3 - 5431227*c.\nAnswer: 19972614*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212798191631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 293*f\/3 + 59300.\nAnswer: -(f - 593)*(f + 300)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*a - 2*r + 4, 0 = 5*a - 5*r + 15. Suppose 5*w + 15 + 13 = -g, -a = -g. What is the units digit of (-2)\/(-1) + -2 - w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1077*v**5 - 3481*v**2?\nAnswer: -64620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105245924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539 - 29*m - 343 - 214 - 27*m + 53*m.\nAnswer: -3*m - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46346549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 - 34 = 0. Suppose 0 = 3*g - 12, g + 25 = 3*o - 4*g. Calculate the highest common factor of b and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -55, -57, -59, -61?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -25777.\nAnswer: -19\/25777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -89, -152, -219, -284, -341, -384, -407?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.4, 3, 0.61 in increasing order.\nAnswer: -0.4, 1\/5, 0.61, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19642636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 1731571757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8780*n*r**3 - r**3 + 174*r**2 - 12*r with respect to n.\nAnswer: 8780*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011*p**3 - 1046*p**3 - 108*p**3.\nAnswer: -2165*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28*7*6\/4. Suppose -5*i - 4 + h = 0. Calculate the remainder when i is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323 + 6453 = 324*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 166*w**2 - 23*w**2 - 3*w + 189*w**2 + w + 9*w**3.\nAnswer: 9*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + (-1 - -4) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*n = -28, a + 0*a - 24 = 4*n. Suppose -4*p = -4*u, 0 = 2*p - u + a*u - 10. Differentiate -22 + 64*w**p + 27*w**4 - 64*w**2 with respect to w.\nAnswer: 108*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1 - -2) + 2. Suppose 2*w - 5*s + 10 = 3*w, 17 = v*w + 2*s. Factor i**3 + 0*i**5 + 5*i**w + 7*i**4 + i**3.\nAnswer: i**3*(i + 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15888404 a multiple of 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -462, -402?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((1*sqrt(275)*1 - ((sqrt(275) - (sqrt(275) + 1*sqrt(275))) + 5)) + -4 + 6*(-1 + sqrt(275)))*-1 + 3)**2.\nAnswer: -1200*sqrt(11) + 17825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 6*t - 2*t)*(2*t**2 - 6*t**2 + 2*t**2) + 293 - 578 + 285 + 9196*t**3 in the form p*t**3 + u*t**2 + n + z*t and give p.\nAnswer: 9192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-4)\/u)\/u))**(-12) assuming u is positive.\nAnswer: u**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1935 * 2863\nAnswer: -5539905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-9) - (-116)\/(-36))*-13. Let s = 42 - y. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3820000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -z - 27, -z - 3*z = 4*c + 60. Put 4, z, -3 in descending order.\nAnswer: 4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 6. Let t(c) = -c - 5. Let y(i) = -3*f(i) + 4*t(i). What is y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 966 or -26\/5?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5a075d (base 14) to base 7\nAnswer: -35064146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 135 - 127 - c + 4*c**2 + 263. Suppose -k - k + 8 = 0. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.007 (c) 0.3 (d) 0.06 (e) 5 (f) -95.6 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 301474*y - 196308564.\nAnswer: -2*(y + 654)*(y + 150083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 1. Let l(x) = -10*x**2 + 6*x - 4. Let h(k) = a(k) - l(k). Is h(7) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (134 + -178 - (2 - 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7753284\/120 + -7 + 511\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -38. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6 = s, 14 = 37*y - 33*y + 6*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9\/10 of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + -16 - -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = g, -3*g - 18 = -j - 4. Solve j*x + 0 = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615 = 201*t - x + 4*x, -410*t - 3 = -405*t - 3*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 43*w + 73. Let r be i(44). What is the highest common factor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3071688 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25345697 and 2252.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 17 = 4*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255\/4 - -63. Let h = 1 - 0. Let l = 3219 + -3223. Sort h, f, l in ascending order.\nAnswer: l, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60*(2 + (-117)\/65). Solve -c = -2*l - 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4718312699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 476000 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - 120251?\nAnswer: -120322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-8 + 4 + -16 + -6 + 9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33969*r**3 + 16983*r**3 + 16989*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 7*f + 8*f + 765*f**2 - 763*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/14*84\/126\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let s(k) be the second derivative of -37 - 2*k - 6 + 2*k**4 + 32*k**2 - 31*k**2. What is s(r(b))?\nAnswer: 384*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2 = -i + 2*i, 0 = 2*l + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326\/249 - 2\/83. Let b = 146.2 - 146. Sort 2\/11, b, r in decreasing order.\nAnswer: b, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.076533 - -0.0800497. Round v to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.4. Let k be -1*(1 - 1\/1)\/(-1). What is the nearest to g in -0.1, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 0, -6\/1577, 26 in descending order.\nAnswer: 31, 26, 0, -6\/1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-2) + 18\/(-6). Is (-97)\/(y\/(-15) + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 22 + 22 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -1\/120*a**6 + 0*a + 0 - 1\/12*a**5 + 2\/3*a**3 + 7\/24*a**4 - 22*a**2. Determine v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3.8, 5085?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 1, 8, -7 in decreasing order.\nAnswer: 8, 2, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(1100)*1)*4 + -2 - ((-5 + 0 + sqrt(1100) - (-1*sqrt(1100) + 5)) + 3)) + -1)**2 + 2.\nAnswer: 800*sqrt(11) + 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/15, 3\/7, -1, 2, -18?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywq when three letters picked without replacement from wqyyy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 12*g**2 + 5*g - 26. Give x(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b. Let c(u) = 271*u - 2. What is t(c(w))?\nAnswer: -1084*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) -20 (c) -3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*((-5)\/(-14))\/(88\/(-616))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000138328 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58*((-30)\/10 + (9 - 2)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:21 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from tzuuuzu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4833 is divided by 605.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 + 52*r - 14. Let d be z(17). Let q(u) = 2*u + 7. Let l(y) = -y - 2. Give d*q(i) + 8*l(i).\nAnswer: -2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 + 253*t + 5310. What is f(-23)?\nAnswer: 3194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2*(-114075)\/(-12). Let h = -18430 + f. Let g = -599 + h. What is the common denominator of -33\/4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/47446 and -71\/8?\nAnswer: 189784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2 + 26*i - 11. Let u(y) = 2*y**2 - 9*y + 4. What is -4*f(w) - 11*u(w)?\nAnswer: -2*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -2\/7, 2.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668928643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7493248, 0, 3, -5 in descending order.\nAnswer: 3, 0, -5, -7493248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p - 4*p - p)*(55 - 28 + 25) - p + 0*p + 0*p)*(3 - p - 3) - p**2 + 0*p**2 - 2 - p**2.\nAnswer: 155*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -302, 80, 718, 1612, 2762?\n\"Answer: 128*h**2 - 2*h - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.1. Let u = -4.9476 - 0.0424. Let m = -5 - u. What is the third biggest value in m, f, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9109*a. Let k(o) be the second derivative of o**3\/3 + 7844*o. What is k(u(v))?\nAnswer: 18218*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:43 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 329, -3, 6, -2, 375 in descending order.\nAnswer: 375, 329, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/4)\/((-1)\/2). Factor d - 14*g + 59*g**3 + 2*g**4 - 55*g**3 + 10*g - 8*g**2 - 1.\nAnswer: 2*(g - 1)**2*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - 7) - (0 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3 (b) -6 (c) 2\/17 (d) 1165 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 4:07 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*z - 95*z - 282*z.\nAnswer: -298*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*u + 12142 - 12142)*(4*u**2 - 3*u**2 + u + u).\nAnswer: 126*u**3 + 252*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*r + 24*r - 7501 - 122*r**4 - 90*r**4 + 20*r**2 + 102*r**4 wrt r?\nAnswer: -440*r**3 + 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43525208, -43525207, -43525206, -43525205?\n\"Answer: y - 43525209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = 156, 279*y + 17 = f + 280*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*v = v + 55, 0 = l + 4*v + 5. Let t be (-6)\/(-15) - l\/(-20). Let p = 3.72 - -0.28. Which is the third smallest value? (a) t (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-90)*55\/(-22)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 194, 699, 1774, 3719, 6834?\n\"Answer: 50*v**3 - 15*v**2 + 200*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 18 - 18)*(-7*z + 7*z + 162 + 2*z).\nAnswer: -60*z - 4860","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -1 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2633725 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -9\/5 (b) 1\/3 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 838*m**2\/7 - 2536*m - 84288\/7.\nAnswer: 2*(m - 24)*(m + 4)*(m + 439)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -1078.\nAnswer: 19\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 216558.\nAnswer: 10178226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a**0\/a*a)\/a)))**36\/((a*a*a**(-1)*a)\/a**(4\/3)))**(-16))**(-32) assuming a is positive.\nAnswer: a**(-56320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*p - 234*p - 51 - 131*p + 29.\nAnswer: -2*p - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 15*a**2 - 20*a - 12. Suppose 2*l = l - 16. Let d be q(l). Let b = -37 + d. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 61?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.06, 1\/6, -1.36, -360?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*c + 6 - 185*c - 8 to r*c + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/17 + 307986*i\/17 - 235353600\/17 = 0?\nAnswer: 768, 153225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - y)*(y**2 + 2*y**2 - 4*y**2 + 1 - y**2 - 1 + (2*y**2 - y**2 + y**2)*(1 + 1 + 0) + (-11*y**2 + 10*y**2 - 21*y**2)*(2 - 1 - 3)).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.5 - 24. Let v = 0.3 + -0.5. Which is the second biggest value? (a) v (b) i (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 38065038?\nAnswer: -380650.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/((-3)\/(-9)). Suppose -b*h = -5*m + 11, 3*m - 6 = 3*h - 3. What is the first derivative of -5*s**m - 6*s**3 + 6*s**3 - 2 - 4 wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2\/13, -4, -257, 113 in descending order.\nAnswer: 113, -2\/13, -4, -8, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6161753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -5, 4, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 18 in ascending order.\nAnswer: -5, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 124*n**7\/105 + 31*n**3\/3 + 3*n**2 - 2*n. Differentiate p(a) wrt a.\nAnswer: 992*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3936642, 3936644, 3936646, 3936648, 3936650?\nAnswer: 3936652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002071073 rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1649, -2010, -2301, -2522?\n\"Answer: 35*v**2 - 466*v - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -540607140 divided by 2\nAnswer: -270303570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4, -13, 30 in decreasing order.\nAnswer: 30, 4, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509091 is divided by 509036.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4592868*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(3\/4)\/k)*k*k*k**(5\/4)*(k**(-6\/5)\/k)\/k**15 assuming k is positive.\nAnswer: k**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 7. Let j = h - 41. Let v = -17.5 - j. Which is the third biggest value? (a) 3 (b) v (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7598515622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 9, 4, 2\/27, 3\/7?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 76\/3*n + 5\/2 - 31\/6*n**2 = 0.\nAnswer: -3\/31, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9 + 4*y - 21*y + 2*y - y**2. Let r be n(-14). Suppose -2*b - 2*b - r*o = 4, 4*b - 36 = 5*o. Solve s - 25 = -b*s - 5*m, -s = 3*m - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -16*w - 29*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 6*j**2 - 2*j - 5. Let l(b) = -2*b**3 - 3*b**2 - 16*b - 31. Let x be l(-2). What is the tens digit of r(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1064 + -1062. Solve -16 = 4*v, -11 = -k*r + 2*v + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**3 + 6*b**2. Suppose -15*r + 19*r + 4*k = 0, 0 = -3*r + 4*k + 7. Let w(y) = -y**2. Give r*s(v) + 6*w(v).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 2, r: 7, e: 1, q: 1, z: 1}. Give prob of sequence nzre.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -95, -76, 35, 274, 677, 1280, 2119?\nAnswer: 3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-47)\/282 - 50\/(-12). Solve b*z = 4*d + 3 - 11, 0 = z + 2*d + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(187)*1*4 - sqrt(187)) + -4*1*sqrt(187))\/(-2*sqrt(539) + sqrt(539) - (sqrt(11) + sqrt(55)\/sqrt(125))).\nAnswer: -2 + 5*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(252) + sqrt(252) + -5*(sqrt(252) - (sqrt(252) - sqrt(252)*2)) - -2*1*sqrt(252))\/(sqrt(99)\/(-1*sqrt(11)*-1)))**2.\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -386 + -0.2\nAnswer: -386.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 l when three letters picked without replacement from qlvovlovqvdq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -44?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 4807 - 5087 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 3*w + 3. Let f(b) be the first derivative of b**2\/2 - b - 2. Let o(j) = -3*f(j) - x(j). Let d(a) = -a**2. What is o(d(r))?\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1447031 divided by -72.\nAnswer: -1447031\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 12. Let m be g(10). Solve m = -3*t + t, 4*f - 4 = -4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 + 4*k + 3. Suppose 0 = 5*q, -s - s = -q + 2. Let x(a) = -a**2 + 1. What is s*y(u) + 3*x(u)?\nAnswer: u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, -230, -815, -1714, -2927, -4454, -6295?\n\"Answer: -157*x**2 + 200*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*j + 2 + 8 = 0, 0 = 3*x - 3*j - 6. Suppose -3*a = -x - 4. Find the common denominator of (-4)\/14 + 947\/(-42) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 999917134 and 0.07.\nAnswer: 999917134.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -178496138327+0.8\nAnswer: -178496138326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from qhhjjuw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 4*w - 940. Let s = 270 + w. Suppose s = 4*g + o - 0*o, -o = -2. What is the least common multiple of g and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {o: 1, w: 2, u: 3, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -7 - (18 + (-34 - -16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17932 is divided by 4042.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5. Let z be 350940\/56 + (1 - k). Let m = z - 6266. Find the common denominator of m and -45\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 - 4247\/12. Find the common denominator of q and (-1804)\/160 - 2\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17101\/1616 - 169\/16. Do -1 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/7)*f)*f*f\/(f*f**(2\/11)))\/(f\/(f\/(f\/((f**(-2\/5)*f*f)\/f*f)))*f**6\/f*f)*(f**(1\/2)*f**(3\/8))**(2\/57) assuming f is positive.\nAnswer: f**(-462197\/87780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -39. Let x(s) = -7*s - d + 2*s + 3*s**2 - 13*s. List the prime factors of x(10).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 - k**4 - k**4 + (2*k**4 + 0*k + 0*k)*(-85 + 83 - 204) in the form o*k**3 + r*k**2 + j*k + m + z*k**4 and give z.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -12*x + 195, -54*x = -53*x - 2*s - 18 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 2548 - -697. List the prime factors of z.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 209 = 2*q - 219, 0 = 3*x + 6*q - 2*q + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 2396*f**3 - 708*f**3 + 0*f - 1685*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 956319*o - 956319*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*x + 6 = 0, 3*i + x - 750 = -756. Let h(u) = -6*u - 28. Let r(y) = -2*y - 9. Give i*h(d) + 7*r(d).\nAnswer: -2*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*(-24)\/(-420))\/(4*6\/180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*r = -2, 8*r = 4*x + 13*r - 67. What is the greatest common factor of x and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(153)).\nAnswer: -15 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -3, -217, 6 in ascending order.\nAnswer: -217, -67, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681752.\nAnswer: 2, 3, 79, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**2 - 288*z + 199. Let a be j(27). Are a and -288 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 take away 2676959720.1?\nAnswer: -2676959825.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 0 + 0 + (-21*n - 52*n + 3*n)*(5 - 4 - 2).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -196. Let q = -63 - n. Solve 0 = -3*c - 3*l, 2*c + 10 - 4 = -q*l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -632, -1265, -1896, -2525?\n\"Answer: s**2 - 636*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273349?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2550*x - 2550*x + 99*x**3 - x**2 as o*x**3 + g*x**2 + p*x + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-40932)\/135 - 0)*(-5)\/2 is divided by 194?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let p(n) be the second derivative of -n**5\/20 - n**4\/6 + n**3\/3 - n**2\/2 - 2598*n. Give p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, 42, 215, 456, 765, 1142?\n\"Answer: 34*c**2 + 3*c - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbbhbbbhzbzq. What is prob of sequence bh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.035424663 - -0.035534. What is h rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 261146379*z**2 - 261146376*z**2 + 0.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 12392*o - 1514064. Calculate n(-121).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-3 + 14\/10). Let r(b) = -4*b + 0*b + 5*b - f + 0*b. Calculate r(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17713724 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 20 = 4*l, -5*l = -2*y - 2*y - 25. What is the common denominator of 273\/(-42)*(3 - (-100)\/(-44)) and (2\/l)\/(6\/310)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-15) - 5) + 4\/20*5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkm. Give prob of picking 1 w and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11571 divided by 609.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 11?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 12*i - 13. Let m(r) = -r**2 - r. Suppose 4*q = 77 - 89. Let g(p) = q*m(p) - n(p). Is g(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pkpkpkppppppppppkp.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -18. Calculate the remainder when (h\/9)\/(1\/30) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 3*v - 4. Let i be (1\/(-4))\/((-51)\/816). Give k(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 3, -34, -208, 0, -5 in descending order.\nAnswer: 3, 0, -5, -34, -37, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -11, 22, 79, 166, 289?\n\"Answer: r**3 + 3*r**2 - r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/950 + 1 + (-78)\/85 + (-460)\/(-3910)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Suppose -5*b + 10 = -5. Suppose -b*q + z*q = 0. Solve 0 = 4*f - k + 25, f + 0*f + k = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/58940831 and -36\/6859.\nAnswer: 1119875789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32687 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -13 in descending order.\nAnswer: 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/2427711 and -1\/28510042.\nAnswer: 1111891638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 32. Let x = 736 + -741. Put x, -2\/13, s in increasing order.\nAnswer: x, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:58 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-61 - -104) + -30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 639 and 15123.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -982 divided by 2.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 100 = -7*r. Find the second derivative of -5*p**4 - 17*p + r*p**5 - 38*p**5 - p**4 + 5*p**4 wrt p.\nAnswer: -560*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 103315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 64. Suppose -2*b + 27 = -i. Let z(q) = -q**3 + 6*q**2 + 2*q + 3. Calculate the remainder when b is divided by z(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4 - 55*b**3 + 2849*b**2\/4 + 754*b + 192 = 0?\nAnswer: -1\/2, 24, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359680348 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-10)*510\/(-85)*2\/(6\/(-445)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/8409367 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 68, 2, 6, 29 in increasing order.\nAnswer: -2, 0, 2, 6, 29, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26500 or -26498?\nAnswer: -26498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612072 and 9288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.926 and -25614?\nAnswer: 49332.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) -1\/10 (b) -4 (c) 0.16 (d) 0.3 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87436.3926 rounded to the nearest 1000?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 38 = -10. What is the units digit of 1 - ((-9 + t - -5) + -186)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 3*d = 12560. Suppose 0 = -3*o + 64 + d. List the prime factors of o.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Let v(c) = -8*c**2. Calculate v(x(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 595008 + 8?\nAnswer: 595016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -2*g**7\/105 + 2*g**6\/15 + 19*g**5\/15 + 7*g**4\/3 + 429*g**2 - g. Suppose k(z) = 0. Calculate z.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 25. Let u(i) = 3*i + 99. Let g(b) = 4*u(b) + 15*w(b). Let n be g(6). What is the first derivative of 7*s - s + 8 + n*s wrt s?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.2. Let a = -1.434 + 1.434. What is the closest to 1 in a, h, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 7 = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 2*s + 2*s**2)*(0 + 4 - 6) + 54 - 54 + 31*s**2)*(0*s**2 - 2*s**3 + 0*s**2).\nAnswer: -54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-72 + 30408\/420)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8222008849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 15, 0, -27, -9, 4, -1 in increasing order.\nAnswer: -27, -9, -8, -1, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {c: 2, g: 1, l: 1, t: 1, x: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 871694953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/272 and 53\/240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5901538 and 91\/678.\nAnswer: 17704614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 14*f**3\/3 + 11. Let c(x) be the second derivative of -x**3 + 22*x. Calculate a(c(o)).\nAnswer: 504*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r - 2*j, 7 = r - 0*r - j. What is the third derivative of 0*d**2 + 3*d**4 + 6*d**2 + 2*d**r wrt d?\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence war when three letters picked without replacement from ggrggcwag?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5962228*m**3 + 6185185 with respect to m.\nAnswer: 17886684*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1058.3 + -1128. Let t = -74 - u. Round t to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72114 and 182.\nAnswer: 937482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2844 + 2847. Which is the closest to 0? (a) -0.2 (b) -8 (c) y (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429690 is divided by 20448.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 23. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -133, -202, -271, -340, -409?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -397, -777, -1193, -1657, -2181, -2777, -3457, -4233?\nAnswer: -5117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 196248 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226192867 and 19828?\nAnswer: 4957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 5)*(-4*r**4 + 6*r**2 - 6*r**2 + (-25*r**4 + r**4 - 23*r**4)*(-2 + 0 - 2)).\nAnswer: -736*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1781*s**2 + 0 + 1898*s**2 - 669*s**2 + 0 + (4 + s**2 - 4)*(-4 + 2 + 1).\nAnswer: 3009*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1122 - -2719. What is the third smallest value in g, 0, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 0, -5, 9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1670 divide 18747420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.182 + 0.25. Round f to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21) + 16\/7. Suppose 3*z = d*z + 3. What is the second derivative of 2*m + 4*m**z - 3*m + 2*m wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:44 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -0.3, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9476 - 1.57. Let j = 0.313 + 0.057. Let a = n - j. Round a to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cf (base 16) to base 5\nAnswer: 3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -79. Let a be (k - 636)\/((-13)\/520). Round a to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3641, 3795, 4053, 4415?\n\"Answer: 52*o**2 - 2*o + 3591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(4\/7)*(l\/((l\/((l*l**(3\/8)*l)\/l))\/l))\/l assuming l is positive.\nAnswer: l**(165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 6*p - 4. Let y(d) = -d**3 + d**2 + 7*d + 4. Let v(q) = -5*s(q) - 4*y(q). Let g be v(-3). Let m = -2 - g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 6721?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 + -77. Solve -27*v + 22*v + g = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95266443 to the power of 1\/2, to the nearest integer?\nAnswer: 9760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4699 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 16\/35 (c) 178 (d) -2\/11 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -28*s + 46*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 368 = 377. Calculate the remainder when 52 is divided by 34*p\/(-6) - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/107796 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75 + -514106?\nAnswer: -514011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 62*x**2 + 481*x + 2028.\nAnswer: (x - 52)*(x - 13)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 937052138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:58 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/82212 and -68\/93?\nAnswer: 82212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and -4605?\nAnswer: 4587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 1 = 3. Let u be -1*(9\/(-5) - t). Suppose -4*b = -0*b. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12891 - 11409. What is d rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 6, e: 1, g: 5, u: 2}. What is prob of sequence uf?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 3 in decreasing order.\nAnswer: 4, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 + 9*i - 1. Let z be d(4). Let w = 55 + z. Let g = -21 - w. Calculate the lowest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 7*g + 5277. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27900 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = c + 75, 13 = -3*f + 2*c - 19. Let u(t) = -4*t - 60. Determine u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 + 9608*j\/9.\nAnswer: -2*j*(j - 4804)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2450*m - 5120 + 5120 to the form j + z*m and give z.\nAnswer: 2450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 22*k + 36. Let d be p(12). Calculate the greatest common divisor of d and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10774, 10766, 10754, 10738, 10718, 10694, 10666?\nAnswer: 10634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -30 + (6 - -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2\/3, 3, 3\/5, 4 in ascending order.\nAnswer: -14, 3\/5, 2\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -360\/1199 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ea - -1?\nAnswer: eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 46 - w + 29 + 22.\nAnswer: -3*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 71. Let h = -53 + 56. Suppose 0 = -h*f + i - 4*i + 78, 5*f - 3*i - 90 = 0. Calculate the remainder when t is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/9, -3, 2\/5, -0.07?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.112575, 2, 3\/4?\nAnswer: -0.112575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 <= 416\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)**(-1\/43)\/((c*c*c*c**(2\/19))\/(c\/c**(-1\/5)*c*c)) assuming c is positive.\nAnswer: c**(9\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*j + 12*r + 457, -75083*j - 5*r = -75084*j + 201 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 213, 119, 21, -81?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 37*t + 20. What is o(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1181 = 124. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrr when four letters picked without replacement from rxrxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 105390*o - 421592.\nAnswer: 2*(o - 4)*(o + 52699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32c0 (base 14) in base 4?\nAnswer: 2021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3124 - -3129. Solve 4*m - 4*z + 6*z = 14, -p*z = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380864921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1037885 take away -0.174401?\nAnswer: 0.2781895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 7:22 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1254*g**4 + 9*g**3 - 9*g**2 + 1003. Let j(i) = 2*i**4 + i**3 - i**2 + 2. Let v(q) = 9*j(q) - w(q). Differentiate v(x) wrt x.\nAnswer: 5088*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/5 + (-3)\/(12\/8). Sort 6, -40, r in descending order.\nAnswer: 6, r, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 190 = -2*d, c + 2*d - 43 = 7*d. Suppose 0 = h - 0*h - c. 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 119\/(-28) - 627\/(-152).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/5, 3, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (116 - 3*x - x - 117)*(0 + 0 - x) to m*x + u*x**2 + a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -135814.6 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 148121835947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28546 + -18957. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -124, -497, -1246, -2497, -4376?\nAnswer: -7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457.8078 centuries to years.\nAnswer: 45780.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*d + 35 = 0, -2*g - 241*d + 14 = -244*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (920\/(-180) - 1\/(-9)). Let d be ((-4)\/6)\/(2\/3). Let v = r + d. Solve -x = -0*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*f + 3*f + 12*f)*(-5*f + f + 3*f)*(10*f + 11 - 11 + (0*f - 2*f + 4*f)*(-1 - 1 + 1)) to h*f**3 + a*f**2 + p*f + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13223447.\nAnswer: 53, 249499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2501 = -4*l + 365. Let c = l - -769. Suppose -7*y = -2*y - c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199*w**2 - 22357*w - 11370848?\nAnswer: -398*w - 22357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 980891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from oodbcyooy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/2)\/r)\/(r*r**(1\/4)*r))\/(r**(1\/3))**(17\/5))**(-44) assuming r is positive.\nAnswer: r**(3883\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-902)\/164 + (-575)\/(-2) is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 6:27 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 625*r - 121*r + 32*r.\nAnswer: -719*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -21. Factor -h**3 - 2*h**5 - h**4 + 2*h**2 - 4*h**a + 3*h**4 + 3*h**3.\nAnswer: -2*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 g when four letters picked without replacement from meggmgmggm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - g + 24, 0 = u - 3*g - g - 9. Let m be (u - 29\/(-4))*15. Factor m*p - 5\/4*p**2 + 5.\nAnswer: -5*(p - 4)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15*(-18)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2882, 5445, 8048, 10691?\nAnswer: 13374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w. Let r(f) = -1085*f**2 + 67164*f - 1. Give r(b(l)).\nAnswer: -4340*l**2 - 134328*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5284804785 to the nearest integer?\nAnswer: 72697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = o - 2*r, -5*r = 206 - 191 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 3*u**4 + 5*u**4)*(-4 + 4 - 3*u) + 10*u**3 + u**5 - 10*u**3.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 10. Let x = 21 - b. What is the greatest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -644*h**5*l + 246*h**5 - 3*h**2 - 261*h*l + 143*h + 8 wrt h?\nAnswer: -12880*h**3*l + 4920*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 15) + 48\/(-9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**2 - 1. Suppose 4*g - 19 = 9. Suppose -2*u - g = -4*u - w, -10 = -3*u - w. Determine y(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17761631 divided by 4?\nAnswer: -17761631\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25197 - 0.0274\nAnswer: -25197.0274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 11 = -2*i, -17 = -5*i + 4*y - 2*y. Suppose 5*b - 21 = 2*q, -2*q = 5*b - b - 6. What is the second smallest value in q, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -545 + 674. Suppose 230 = n - d. Calculate the remainder when n is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*n + 4*p, 22294*p = n + 22289*p - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6387070?\nAnswer: 2, 5, 17, 37571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -10)\/(2 - 0). Suppose s*q - 5*q = -35. What is the second derivative of -16*l - q*l**3 - 2*l**3 + 18*l**3 wrt l?\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268555 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from beebeeeseebebsbe?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12450*z**3 + 28585*z**3 - 16128*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -44, 1\/7, -0.3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10128 divided by 6\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 7*p**2 - 8*p + 4. Let r(n) = 2*n**3 + 15*n**2 - 17*n + 8. Let z(m) = -13*c(m) + 6*r(m). Let u be z(-3). Is 14 a factor of (-2)\/(-4)*u*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + b**3)*(-2 + 2 - 2) - 3*b**2 - b**3 + 3*b**2 + 0*b**3 + 2*b**3 - 3*b**3 + 3*b**3 + 130 - 130 + 2*b - 2*b - 2*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065834 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -24. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 9*s - 10. Let c be l(7). Let k = c + 0. Calculate the remainder when 5 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 17. Let f = -9\/5 - -7\/5. What is the closest to -2 in 3\/7, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 78. Is ((-21)\/g)\/(6\/5388) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 14045*s**2 + 196813*s - 182767 = 0?\nAnswer: -14059, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0993732 and -1078642.9.\nAnswer: -1078642.9993732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r**2 - 507 - 123*r**2 + 506 + 10*r**2 to the form h*r + o*r**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585 = 7*i - 606 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viy. What is prob of picking 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 14. Let d be v(6). Let u be 2\/(-7) - d\/(-28). Suppose u = -k - 2. Which is the smallest value? (a) 0.5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 78023 = -t - 77953 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 19\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 9*u + 370. What is the highest common factor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 5 - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-2\/17)\/a*a)\/a*a*a*a**(1\/5))\/(a\/(a\/(a\/(((a\/a**(-3))\/a*a*a)\/a)))*a\/(a*a**(-1))))**(1\/16) assuming a is positive.\nAnswer: a**(347\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2974 divided by -2?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/7 + 2\/7. Let z = t + -1. Let x be ((-15)\/(-10))\/(3\/z). Solve 3*g + x = -5*q, 9 = -4*q + 6*g - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6 + 6, -3*g + 80 = -4*q. Suppose -87 + 148 = z. What is the remainder when z is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(325) - (sqrt(325) + 1))*-5 + 0)*-6)**2*-2 + 3.\nAnswer: -44997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*c + 4997 + 14335 = 749*c + 873*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) - 6*2*sqrt(800)) + -1*sqrt(800)*-2)\/(((sqrt(110)*-3 - sqrt(110))*4)\/(3*(sqrt(11) + 3*sqrt(11)))).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -h*b + 6 - 5 = -x, 4*x + 28 = -4*b. What are the prime factors of 2*(-5)\/(-2) + b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845735 divided by 538415?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.732 to 0 dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -575.19 + 575.18786149. Round a to 5 decimal places.\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -38*j**3 - 5*j**2 + 2*j. Let w(d) = 76*d**3 + 11*d**2 - 5*d - 3. Give 2*w(o) + 5*z(o).\nAnswer: -38*o**3 - 3*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-225*g + 20 + 114*g + 109*g + 3*g**2)*(-2 - 1 + 23)*(-3 + 0 - 2) to f*g**2 + b*g + a and give b.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(27\/6)*(-3708)\/4326\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -8, 5, 0.\nAnswer: -8, 0, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3938 - 3902. Solve -7*c + t = -25*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 369\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7 + 2 = 0. Let l be 5*n*(-5 + 0). Suppose 3*s - 2*z - 2*z - 25 = 0, 5*z = 3*s - 29. Solve -s*j + 8*j = -l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 3*w - 6. Let q be d(5). Suppose 3*h - q*c = 141, 0*c = -3*c. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1120\/42)\/20?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 108 times -29069\nAnswer: -3139452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 8*g**2 - 19*g - 64. Let z be v(-10). What is the tens digit of 1\/4 + z\/40*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29375185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2098\/2086 + -1 - 0. Let t = -29707\/7233 + 461055337\/82984209. Let l = t + g. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 45 - 33 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5090 = -b - b - 5*z, 12667 = 5*b - 2*z. Let p(o) = -2536 + 5065 - 7*o - b - 2*o**2. Give p(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000 - -12?\nAnswer: 102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:18 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -2*p - 58, -6*l + 2*l = -0*l - 845*p + 841*p + 28 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*b - 1 + 53*b - 10 + 8 + 2.\nAnswer: 20*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -819 and 0.382?\nAnswer: -312.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2.1 (c) -0.2 (d) -2 (e) 2\/75 (f) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71940.27 days in milliseconds?\nAnswer: 6215639328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -511, -2056, -4635, -8248?\n\"Answer: -517*u**2 + 6*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278529440 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -22.325914.\nAnswer: 2.2325914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9670519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 + 4398*p + 1064788 = 0. Calculate p.\nAnswer: -1922, -277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a. Let r(g) = g - 1. Let v be r(-10). Let d(j) = -60*j - 6. Let q(c) = 299*c + 32. Let h(w) = v*d(w) - 2*q(w). Determine h(n(p)).\nAnswer: 248*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.934 - -21. Let a = u + -13.766. Round a to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 5*u - 15. Calculate l(-8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20011 (base 7) in base 14?\nAnswer: 1a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(-7)*1*51\/(-12). Factor 405 - f*l + 60*l + 5*l**2 + 27*l + 20*l.\nAnswer: 5*(l + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09448 in 0.4, -0.1, 0.07, 1.7, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/126 - (-2)\/(-3). Let q = -19 + 19.06. Let i = 0.26 - q. What is the third biggest value in -5\/4, i, t?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 30*s = -3*m - 3, m + 3*s = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*f = 1639*f - 54607 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 2) + 10 + -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = -2355*j + 2351*j, 3*o = 3*j - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.62, -3, 66?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from dmggamgogddddmdgggd.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/27)*h\/h**(1\/14)*h)**36 assuming h is positive.\nAnswer: h**(1430\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 239373, 239389, 239405, 239421, 239437, 239453?\n\"Answer: 16*d + 239357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 12. Suppose 0*a + 1 = -a + 2*s, -2*s = 4*a - r. What is the smallest common multiple of a and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 5. Let f = 10469\/2 - 5235. Let d = -4.9 + -0.1. What is the nearest to f in x, 1\/12, d?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15350, 30719, 46082, 61439, 76790?\nAnswer: 92135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 129. Calculate the highest common factor of w and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36558 is divided by 106?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/6819?\nAnswer: -10\/6819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -1077, 0 in descending order.\nAnswer: 9, 5, 0, -1077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 18*s - 66. Let t be y(-8). Calculate the highest common divisor of t and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(99) + 2 - sqrt(99) - sqrt(99))**2 - ((2*sqrt(121))\/sqrt(11) + ((sqrt(99)*2)\/sqrt(9))**2).\nAnswer: -74*sqrt(11) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v - 1. Let q be a(-1). Find the second derivative of -2*m**5 - 7*m**3 + 7*m**3 - 2*m**5 + q*m wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 0*r + 33 - r + 2*r - 35. Determine l(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -5\/2*d**3 - d**2 + 26*d + 24. Let x(f) be the first derivative of o(f). Let v(z) = -2*z. Determine x(v(a)).\nAnswer: 30*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422232?\nAnswer: 2, 7, 109, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -29\/4, -1\/6 in increasing order.\nAnswer: -29\/4, -1\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15\/49 + 467\/245. Let x = 2658.8 - 2659. Sort l, 0.4, x in ascending order.\nAnswer: x, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*c = 112*c + 810 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m + 4*c = -31, -2*m = -2*c - 12. Let w(p) = -p**2 - 6*p + 4. Let f be w(-6). Suppose -2*a - 2*k + 9 = 3, -f*k = 2*a - 6. Solve b + m = a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -45, 29, 175, 399, 707, 1105?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1. Let t(p) = -p - 6. Let x(v) = t(v) + 3*y(v). Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5 + -2) + 32 + 156264\/(-4872)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26676735 and 25316.\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 95*g - 94*g - g**4 + 2*g**4 - 2*g**3 to the form y + r*g**2 + a*g + w*g**3 + o*g**4 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9299046 and 2472?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.6869 times -9.3\nAnswer: 24.98817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/2517 and -44\/159.\nAnswer: 133401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 186 = 5*b, 5*y - 2*b - 338 = -b. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 26*w**3 + 11*w**2 - 11. Suppose 15 = 2*i - 4*r + 55, 0 = -2*i - 5*r - 49. Let m(g) = -5*g**3 - 2*g**2 + 2. Give i*m(j) - 4*n(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -268*w**2 + 12*w + 5. Let x(r) = r**2 - 12*r + 12. Let t be x(10). Let y be l(t). Let s = y - -52243. Round s to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8354781.6 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n. Let m(p) = -57*p**2 + 16*p**2 + 9*p**2 + 18*p**2 + 18*p**2. Calculate m(w(z)).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -698580614391 take away 2165?\nAnswer: -698580616556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 576158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45179585107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*n + 56*n + 14 = 0. Let d(v) = v**3 - 11*v**2 + 29*v - 11. Let s be d(n). Sort s, -14, -5 in descending order.\nAnswer: s, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 - -125. Suppose 0 = -2*w - c*l + 3*l + 16, 0 = -3*w + 5*l + 38. Suppose -w*t = -8*t + 178. What are the prime factors of t?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -125?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 + 204 = -3*g. Let w(r) = -60*r - 11. Let u(f) = -4*f. Let q(h) = g*w(h) - 2*u(h). What is the first derivative of q(l) wrt l?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/44)\/(1\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000356168 to five decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 - 2*o**3 + 4*o**4 + 4 - 7*o + 6*o**2 - 6 + 2*o**2 - 7*o to r*o**4 + d + w*o + h*o**3 + p*o**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(153)*-1 + -4 - (1 + sqrt(153) + -3)) - (2*(3 + sqrt(153)*-1)*-4)**2.\nAnswer: -10366 + 1158*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 101602?\nAnswer: -101600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(11\/(-22) + (-1)\/(-1)). Suppose -11 = -3*v - 3*a - 26, f = 2*v + 4*a + 20. Solve -3*n - 5*z + 16 = v, -4*z + 4 = 2*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 1. Calculate the lowest common multiple of p(2) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2829, -2828, -2825, -2820, -2813, -2804?\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133591091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/7)*u\/u**(6\/11)*((u**1\/u)\/u)**(-3))**(-38))**(-20\/3) assuming u is positive.\nAnswer: u**(252320\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -65. Let d be (50\/(-30))\/((-2)\/6). Suppose -d*m = -3*x + 184, -3*x - 5*m = -61 - p. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 67, -4, 4, 5, 2, -82.\nAnswer: -82, -5, -4, 2, 4, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 x, and 1 a when four letters picked without replacement from afxaxnohanxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 279409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 200*b - 1192. Give s(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from viaiavivaaavv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - 2*-1*sqrt(190))\/(1*sqrt(10)*-2).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 10 + 14 + 18211*f.\nAnswer: 18211*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -32?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50062*-27.\nAnswer: -1351674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggghghgghgcgh. Give prob of sequence gc.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 2, v: 1, q: 5, x: 1, u: 2, t: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t*t**(-4\/3)*t))*t)\/(t*t**1))\/((t\/(((t*t\/(t**(3\/4)*t)*t)\/t*t)\/t*t*t))\/((t*t**(-3\/5))\/t)) assuming t is positive.\nAnswer: t**(79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -7. Suppose -52 = -3*d + a. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 24*s + 52 - 174 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/7 - j**4\/7 + j**3 + 13*j**2\/7 + 6*j\/7 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4, 3*y + 1 = -2*y + f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(2*sqrt(324)) + (sqrt(5)*1 + 3)*6.\nAnswer: 73*sqrt(5)\/12 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -68*l**2 - 53*l + 26. Let i be v(22). Let q = 7372 + i. Round q to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n - 4. Suppose 5*q - 9 = -54. Let g = q - -13. Let d be p(g). Solve -d*m - 5*c - 30 = 0, -23 = 5*m - 2*c + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 - 2*t + 1. Let i(q) = 4*q**3 - 2*q**2 + 1. Let a be i(1). Calculate the remainder when 37 is divided by g(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825*m**5 - 810*m**4 + 252*m**3 - 24*m**2 = 0. Calculate m.\nAnswer: 0, 2\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396436 by 1.\nAnswer: 396436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*h + 1424 + 1741 = 29*h + 862 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:41 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - f - 10. What is the remainder when 29 is divided by z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h**(-12\/13)*h))*h*h)\/((h*h\/(h\/h**(2\/9))*h*h*h*h)\/h) assuming h is positive.\nAnswer: h**(-134\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4712 divide 371395128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9106 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 8260.\nAnswer: 223020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 (base 8) in base 15?\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, n: 3}. What is prob of picking 2 h and 1 n?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813 = -4*u - 222*a - 95, 2*u - 8*a = 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011222 (base 3) in base 12?\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6649412 is divided by 22850.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 255*u**3 - 972 + 974 + 6*u**2 + u - 5*u**2 to k*u**3 + a*u**2 + o + j*u and give k.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/(-25)*(-59 + 64).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060728766.\nAnswer: 2, 3, 31, 5485177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/2)*i**(-17)*i)\/(i\/i**(1\/3)*i**21) assuming i is positive.\nAnswer: i**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Let b = -9 + 4. Let o = b + d. Solve 2*k + 21 = 4*h - 5, o = 5*k - h + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 4. Let h = 209 - 209.2. Which is the second biggest value? (a) -1.2 (b) h (c) j (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by 33\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/30 - 2*b**4\/3 + 13*b**3\/6 - b**2 + 61. Calculate the remainder when z(10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 17, z: 2}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnu when three letters picked without replacement from {u: 1, t: 2, n: 1, w: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14321 greater than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 18 = -9, 2*k = -2*s + 10. Solve -4*h + 2 = -3*t - 2, -s*t = -h - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14 - 17*z - 4 - 6 + 47*z - 5*z**2 - 20*z - 14*z. Let b(h) = -5 + 9*h**2 - 1 + 9*h - 3. Determine 4*b(o) + 9*j(o).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 73 = -4*a, 2*a - 4*j + 2 = -38. Let u be 2*4\/5*(-25 + 30). Let t be (-204)\/10 - u\/(-20). Do a and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.778 and 254.\nAnswer: -451.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -14. Calculate the common denominator of 8\/13 and -49*d\/20 + -4.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let o = 0.81 + 3.08. Let z = -0.11 - o. What is the closest to 1 in h, z, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*l - 106*k**2*l + 113443*k**2 + k*l - 2*k + 29*l - 107804 wrt k?\nAnswer: -12*k*l - 212*l + 226886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**2 - 12*b**2 + 11*b**2 to the form j*b + q*b**2 + t and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263 - 261. Solve 5*s + q*t + 14 = -5, -2*s - 10 = 2*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92815, -742358, -2505411, -5938732, -11599079, -20043210, -31827883, -47509856?\n\"Answer: -92793*l**3 + 3*l**2 - l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252906 divided by 3.\nAnswer: -84302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*x - x + 16, 0 = -2*x + 4*c + 24. Let n(z) be the first derivative of 2*z**3\/3 - z**2\/2 + 2. Calculate the lowest common multiple of n(2) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43231330, -86462658, -129693986?\n\"Answer: -43231328*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 6232*y**4 + 1081*y**3 + 224*y - 1112*y**2 + 279*y**3 - 12395*y**4 + 6213*y**4 = 0.\nAnswer: -28, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.31379 and 4.4?\nAnswer: 0.91379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 2*o = -2*z - 2*o - 397, -5*z - 151 = -8*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1, -0.2, 12, -1\/4, -0.1 in descending order.\nAnswer: 101, 12, 1, -0.1, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 + 29 + 33*b in the form o + r*b and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i**3 + 0*i**3 - 5*i**4 + 6*i**4 - 2*i**2 to s*i**3 + j*i**4 + n*i**2 + b*i + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 1 + d**4 + 4*d**2 + 121*d - 121*d + 1 to the form t*d**4 + i + b*d**2 + g*d + x*d**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21259 times -5700?\nAnswer: 121176300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/12))\/(m**6\/m) assuming m is positive.\nAnswer: m**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -9, -19, -35?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -486922800 to the nearest 100000.\nAnswer: -486900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 10 = -4*r + 6, 4 = 3*r - c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5979 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.194?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 32 + 110 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.029 > 11652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*l - 27 = 0, 0 = -2*k + 5*l - 15 - 6. Differentiate s**k - 183*s + 183*s + 3 wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 31 - 32)*(-5 + 10 + t - 2 + (4 + 5 - 5)*(t + 0*t + t)).\nAnswer: -18*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let h be (-260)\/22 - 6\/33. Let u(l) = 3*l - 12. Give h*w(g) - u(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Suppose -f = -5*q + 10, -3*q - f - 2*f + 6 = 0. Let w(x) = 3. Let t(b) = q*p(b) - w(b). What is the derivative of t(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 - 32*x + 16. Let g(s) = -s + 1. Let p(m) = 16*g(m) - n(m). Find the second derivative of p(c) wrt c.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 138 = 6*o. Is -6 - 7\/o*-1606 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 3242.2.\nAnswer: 3238.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*d - 0*d - 3*b, 6*d - 3*b = 5*d + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkzdnknnadnnu. Give prob of picking 2 z and 2 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -420140 (base 5) to base 12\nAnswer: -7b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*x + 4*k + k, -3*x - 2*k + 30 = 0. Suppose 4*o + 0*o = g + 9, 4*g = 4*o - x. Suppose m + m - 838 = o*t, t - 2095 = -5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503.68 + -332.494\nAnswer: 171.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2455716 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5*p**8\/168 - p**5\/4 - 11*p**2\/2 + 2. Let i(q) be the second derivative of j(q). What is the third derivative of i(a) wrt a?\nAnswer: -600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283563474 divided by 951?\nAnswer: -298174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/9 + (-543)\/(-594) and 99\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*o + 17228227 - 17238733 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(432))**2 - 4*(sqrt(363) + 1) - (-1 + 0 + (4*sqrt(6)\/sqrt(2) - (sqrt(6)\/sqrt(2) - sqrt(3) - sqrt(3))*-5)**2).\nAnswer: -44*sqrt(3) + 27642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*x + 5*r + 61 = -194*x, -5 = -2*x + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16074, -15751, -15426, -15099, -14770, -14439?\nAnswer: -14106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64 or -9316?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*f + 5, 2*g = 3*f - 2*f - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 96.14099 nanometers?\nAnswer: 0.00000009614099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i - 20*i - 28*i + 17*i as b*i + z and give b.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05682 and 695.89.\nAnswer: 695.94682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10119 - 10117. What is the closest to 0 in 1, k, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 + 2*j**2 - 1 + 1 - j**2 + (-1 + 6 - 3)*(2*j**2 + 0*j**2 + 0*j**2) + (3*j**2 + 0*j**2 - 2*j**2)*(0 + 3 - 1))*(1 - 1 - 10).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 13*r - 34 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6*x - x = -4*x + 12, -4*x - 48 = 50*g + 22 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26328 divided by -8.\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(1232\/(-4620))\/(4\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - f**2 + f. Let u(y) = -8*y**3 + 12*y**2 - 12*y - 2. Let b(j) = -10*t(j) - u(j). Factor b(z).\nAnswer: -2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - -68 - (-11 + 0 + 1 - 45)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16611547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*1584\/108?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + h**3 + 3*h**2 - h - 2 = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 122, 169, 244, 353, 502?\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/130 and -15\/94?\nAnswer: 6110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:59 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63793, 127670, 191547, 255424, 319301?\n\"Answer: 63877*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -384, 13, -3, -1 in descending order.\nAnswer: 13, -1, -3, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3 - 1 + b**2 - 7*b + 6. Let n be l(6). Suppose -n*x + 7*x = 5. Solve d = 3*d - 4*z + 10, -d - 4*z + x = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2 - 4*b + 5. Let y be (-2)\/7 + ((-99)\/21 - 2). Let c be a(y). Let l = 8 - c. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 218 - 191. Let d(i) = 2*i + 1. Determine d(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/36 - (-7)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -46730544728578.\nAnswer: -46730544728577.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = 3*t + 18, -12 = -3*z. Let j(m) = -2*m**3 - 10*m**2 + 8*m - 47. List the prime factors of j(t).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 14. Let m be a(-4). Suppose b = m*b. Suppose -4*q + 115 = 5*k, b*k - 4*k = 5*q - 92. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/9 + 39633664*p\/9 + 196353415258112\/9 = 0.\nAnswer: -9908416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 + 491?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4492798 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2173.381889 to 1 decimal place.\nAnswer: 2173.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4824996 + 12?\nAnswer: -4824984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-408)\/(-12))\/(-476))\/(((-12)\/392)\/((-9)\/(-12)))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.7848 - 0.0752. Let i = -2.86 - n. Let d be (-10)\/(-18)*4\/(-10). What is the smallest value in -0.4, -0.1, d, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101044*k**5 - 2*k + 65527?\nAnswer: 2020880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 1, v: 1, i: 1, x: 2, g: 1}. What is prob of sequence ggxs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 29*b**3 + 3*b**2 + b. Let x be k(-5). Let v = -11918 - x. Let h = 117137\/14 + v. What is the common denominator of -7\/12 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -193515 in increasing order.\nAnswer: -193515, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 less than -6.6548666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbp when three letters picked without replacement from bppbx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17567 = -30*y - 17867 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/8, -1\/18, -1?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 4*v, 5*v = 3*m + 2 + 1. Let c be 1 - (-5)\/(-7) - (-47814)\/182. Suppose 4*i - c - 909 = v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 2258, -3 in increasing order.\nAnswer: -3, 62, 2258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*m - 23*m = 12859. Sort -3, 5, m in decreasing order.\nAnswer: 5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37\/4*u - 11\/4*u**3 + 1\/4*u**4 + 33\/4*u**2 + 7\/2 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/3 + 1273*z**3\/3 + 8212*z**2\/3 + 13868*z\/3 + 1680 = 0. Calculate z.\nAnswer: -630, -4, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 4*k**5\/15 + 7*k**4\/3 + 20*k**3\/3 + 6*k**2 - 6. Factor l(s).\nAnswer: 4*s*(s + 1)*(s + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 957249304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 3*z**2 - 4*z**2)*(-519*z - 259*z + 41*z + 97*z).\nAnswer: -1280*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3944*u - 64*u**2 - 3 + 3944*u + 0 in the form d + j*u**2 + f*u and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i)**29\/(((i*i**(-1\/10)\/i)\/i)\/i**5) assuming i is positive.\nAnswer: i**(931\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.6872 + 0.6872. Which is the nearest to -7? (a) 1\/9 (b) 3 (c) u (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2200\/(-165))\/(-10) + 1\/(1\/(-2)). What is the nearest to s in -8.71, 3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -1462 (c) 2\/219 (d) 0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vllv when four letters picked without replacement from {l: 10, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*24074\/(-18)*(2 - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/9, -10, 11 in ascending order.\nAnswer: -10, -0.2, 2\/9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, -2, -421, -1\/3 in decreasing order.\nAnswer: 5, 3, 0, -1\/3, -2, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 13, -0.3, 89, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)\/(((-16)\/14)\/8). Solve -18 + 25 = p*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 25*z**2 + 61*z + 59. Let d be l(-8). Calculate the greatest common factor of 21364 and d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 187*51\/(-3927)*21?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/7 - 22*w**4\/7 + 18*w**3\/7 + 206*w**2\/7 + 260*w\/7 + 96\/7.\nAnswer: 2*(w - 8)*(w - 6)*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518.75657 + -13.9.\nAnswer: -1532.65657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5831*x**3 + 3*x - 399*x**2 + 399*x**2 + 1 - 2*x.\nAnswer: 5831*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -4. Let u = 1 + -3\/2. Let d = 1.95 - -0.05. What is the nearest to u in b, d, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56672 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 + (-26)\/(780\/198)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*h**3 + 2*h**2 - 42*h + 1.\nAnswer: 150*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/12 - 145\/(-30). What is the second biggest value in -1\/4, q, -5\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 24. Let i(y) = -y + 11*y**2 - y - v - 7*y - 12*y**2. List the prime factors of i(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + f = 105, -2*d - f = d - 79. Let n be (d - 0 - -3) + -2. Suppose 0 = -v + 4*v - n. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17032824 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*x - 32*x - 3 - 3*x**2 to the form l*x + k*x**2 + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101904 by 2.\nAnswer: 50952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5026\/2154)\/(4\/(-18))*(-38)\/(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3652960017 to the nearest integer?\nAnswer: 60440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvgv when four letters picked without replacement from gggggggggggvggggggvg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 14) to base 3.\nAnswer: -101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20197254 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 2. Let r be 1*(-1 + 2)*5. Let o = r - 2. What is u(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36072678?\nAnswer: 2, 3, 19, 109, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2. Suppose -4 = -0*t + 4*t. Let o be h(t). Suppose 0*j**3 - 1\/3*j**5 + 1\/3*j**4 + o*j + 0 + 0*j**2 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 5012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 + -78. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 33 = -b - 4*b, 2*f = -2*b + 18. Suppose 2*y - 6*y + 73 = b*l, l - 17 = -y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2*i**2 - 6)*(5*i**2 - 68*i**2 - 17*i**2).\nAnswer: -160*i**4 + 560*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*4 - 1*sqrt(9)*-2)\/(5*sqrt(6)\/sqrt(2) + sqrt(27)\/(sqrt(18)\/sqrt(2))).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025363943 rounded to 6 decimal places?\nAnswer: -0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 1. Suppose -h - c - 3*c = 16, -2*c = 10. Let m(w) = -3*w - 4. Let b(j) = h*v(j) + m(j). Let i(u) = -3*u**2. Calculate b(i(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.44429 - -0.39529. Let v = -37 - n. Let y = -0.049186 + v. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*x - 16 = 3*x, 4*i + 2*x - 2 = 0. Find the second derivative of -12*r + 21*r**3 - 21*r**i - 6*r**5 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 884, 927, 970, 1013?\n\"Answer: 43*x + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - 512\/(-6). Let t = 12522 + -12488. What is the highest common divisor of t and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 5*z - 3*n + 160, 3*n - 142 = 4*z. Sort -5, -3, z, -2.\nAnswer: z, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0507, 2\/5, 5, 7866, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 6) to base 7.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 4) + 13 + -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 667446.8 millilitres to litres.\nAnswer: 667.4468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161008118*y**3 + 62185897*y**2 + 2 wrt y.\nAnswer: 966048708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153882655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - k**2 - 2*k + 1. Suppose 16 = -p + 5*p, -5*m = -3*p + 22. Give t(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2093*k - 2114*k + 1050 = 0 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 51*h + 3 - 7 = -56*h, 32 = -2*l - 2*h for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 9*c**4 - c**3 + 9*c**2 - 2*c + 10. What is the second derivative of n(b) wrt b?\nAnswer: 216*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 1590*a - 1592 = 0 for a.\nAnswer: -1, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2)*-1)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -4*g + 16 = 4*j, -2*j - 4*g + 16 = j. Let v(f) = f**3 + 3*f**2 + 2*f + 10. Let y be v(j). Solve p = -2*r - 3*r + y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((5 - 8) + 0)*(-8)\/6. Suppose p*w = 4*v + 596, -2*v = 2*w - v - 307. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.09141+41.9\nAnswer: 46.99141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -0.107113.\nAnswer: -0.117113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4253, 4252, 4251, 4250?\n\"Answer: -b + 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3244.5 + -3244. Which is the third smallest value? (a) -5 (b) 4 (c) u (d) 3 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/2 and 55\/22932?\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217\/340 + 19\/170. Which is the nearest to 1? (a) -0.1 (b) 0 (c) 12 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*x**4 - 7*h**2*x**2 - 5*h**2*x + 35*h**2 wrt x.\nAnswer: 36*h**2*x**2 - 14*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let a(i) = -i - 1. Let m(u) = -3*a(u) - 2*q(u). Let p(d) = -d - 3. Suppose -5*l - 11 = -3*w, -3*w - 1 = -l - l. Calculate w*p(c) - 2*m(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.45125 and -5.\nAnswer: 27.25625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-6\/5)\/q)\/q**19)**27)**(4\/15))**(-29) assuming q is positive.\nAnswer: q**(110664\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m - 3. Let c(i) = -5*i**3 - 5*i**2 - 4*i - 8. Calculate c(j) - 3*q(j).\nAnswer: -5*j**3 - 8*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.9 - 32.3. What is the nearest to -2 in 0.2, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -23*v - 7. Let j be c(-3). Find n such that -n**3 - 6*n**2 - j*n**4 + 64*n**4 - 3*n**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*s - 2*s. Let z = -53 + 62. Suppose 21 = 3*g - 4*d, 4*g - d + 12 = z*g. Solve -4*y - g*r = s, 8 - 1 = 4*y - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 57.3. Let q be (0*(-4)\/(-8))\/(-2). Which is the closest to 4\/7? (a) w (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:25 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxdjxxxjbvzzjj. What is prob of sequence bd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 1796198415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-560)\/48*(-714)\/340*(-8)\/70?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 11*w - 4*w - 10*w + 42*w**2 + 29*w**2 as y + q*w**2 + m*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-190) + (-5)\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z - 38. Let p be f(4). Let n(h) = -h**3 - 1. Let s(x) = -x**2 - x + 0*x - x + 7 + 8*x**3 + 3*x. Give p*s(c) - 14*n(c).\nAnswer: -2*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 114495827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 - (0 - (-3 + 6))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = 5*c - 1, -3*c + 2*g + 12 = 0. Let u(t) = 12 + 0*t**3 + 9*t**c - 4*t**3 - 2*t**3 - 4*t + 7*t**3. List the prime factors of u(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 18*i**2 - 16*i + 49. Let d be k(-17). Suppose 4 - 4 = d*b. Sort b, -0.1, 14.\nAnswer: -0.1, b, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 15 = 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alaaaaaaaaaaaaaaaaaa. Give prob of picking 2 a.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -22, -38, -50, -52?\n\"Answer: a**3 - 7*a**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 45. Let k be (2 + -8)*m - (-5 + 7). Calculate the highest common factor of k and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*z - 1321 = -1324, 5*t - 4*z - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s + 500. Give i(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 42*g - 240. Calculate j(55).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-58)\/((-30624)\/(-240))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a + 11. Solve a - 8 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 4*f**2 + f + 4. Let y be h(-1). Solve -4*z + y*z - 14 = -2*n, -2*n - 2*z = -6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16103, -16146, -16185, -16220, -16251, -16278?\nAnswer: -16301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8010805, -8010805, -8010791, -8010751, -8010673?\n\"Answer: 2*t**3 - 5*t**2 + t - 8010803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05404 and -0.2374?\nAnswer: 0.012829096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/19)\/d**(-2\/13) assuming d is positive.\nAnswer: d**(64\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 2 - 3 + 5. Let u(l) = -6*l. Calculate r(u(s)).\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:12 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 73.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213\/28 + -55\/7. Let w be (-7)\/((-28)\/7 + -1). Sort -3\/2, -5, w, f.\nAnswer: -5, -3\/2, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, q: 4}. What is prob of picking 3 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4784 - 4769. What is the remainder when 3192 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2509 divided by -1.\nAnswer: 2509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 89. What is the remainder when (0 - 12)*6\/(-4) is divided by (-50)\/(-4)*(-32)\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose -2*d = g*d - 20. Suppose 0*v + y = -d*v + 7, 14 = 5*v - 4*y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 - 9 = -5*b, b = 5*l - 46. Solve -s - l = 3*o, 2*s + 14 = 3*o - 7*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.2 + -0.2. Let d = q + -12. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 11540*z**2 + 80858*z - 115540 = 0. What is z?\nAnswer: -5777, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/24 + -2. Let h = -5\/8 - s. Which is the nearest to -0.1? (a) 4 (b) h (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -15. Let l = s + 1. Let h = 31 + -21. What is the lowest common multiple of h and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(1\/6). Suppose -5*w + 6*w = h, 15 = 3*h. Suppose 5*s - 71 = -2*j, 0 = s - w*j + 2 - 0. Solve -z + n*q = -2, 0*z - 2*z - 5*q = -s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4 + 16. Let o be ((-2)\/v)\/(-1) + 597\/5. Let j = -72 + o. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -203 + 9?\nAnswer: -1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:45 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbsbibscissis. What is prob of sequence ics?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 + 17788*u**3 + 57*u**2 + u - 13 wrt u.\nAnswer: -24*u + 106728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**2 + 2*b. Let s(q) be the first derivative of -q**2\/2 - 58. What is c(s(j))?\nAnswer: -14*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*l + 2, -3*l + 6*i - 2*i + 7 = 0. Let u = l - -47. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11703924*k*y**3 - 17994254*k*y**2 wrt y?\nAnswer: -70223544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3 - (-16)\/(-6)). Suppose -4*u + 74 = 5*h, -v*u = -2*h - u + 26. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1427978 or -7139896\/5?\nAnswer: -7139896\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1662874315 + -16.\nAnswer: -1662874331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21)\/r*r\/(r\/(r**(-14)*r))*r\/r**(3\/16)*r**(-5\/6))**27 assuming r is positive.\nAnswer: r**(-15129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 75 + -22. Let w = -44 + b. Let j(x) = 2*x + 3*x**2 - 2*x**2 + 2*x**2 - 2*x**2. Let u(c) = -c**3 - 4*c**2 - 9*c. Calculate w*j(g) + 2*u(g).\nAnswer: -2*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -94. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718940 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 6*m**2 + 14*m + 22. Calculate p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - 6.244\nAnswer: -5.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1288\/1656)\/(14\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991676218.\nAnswer: 2, 13, 47, 811519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28743897 - -2.667.\nAnswer: -28743894.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2400*p + 19084 = 2669*p - 31606 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 5*v**4 - 11*v**3 + 14*v**3 + (-v**3 - 2 + 2)*(-3*v + 4*v - 3*v) - v + v**4 + v.\nAnswer: v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 - 1. Let b(w) = w + 13. Let x = 67 + -83. Let o be b(x). Sort -2\/9, c, o in descending order.\nAnswer: c, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -0.5, -1\/814, -0.3, -0.07, -3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 + 378*j. Let o(p) = 375*p**2. Determine o(y(d)).\nAnswer: 375*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**3 + 21*n**2 - 24*n - 24. Let p(s) = -10*s**3 + 20*s**2 - 25*s - 30. Let b(c) = 4*p(c) - 5*u(c). Factor b(q).\nAnswer: 5*q*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**4 - 95*i**3 + 185*i**2 + 6395*i + 6120 = 0.\nAnswer: -17, -9, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830705 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111442*s - 37277*s - 37573*s - 37161*s.\nAnswer: -569*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/2)*d*d*(d\/(d*(d\/d**(1\/4))\/d*d))\/d*d*d*d)\/(d**(-2\/23)*d\/(d*d*d**(-4))) assuming d is positive.\nAnswer: d**(-199\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401\/472 - 28\/59. Put f, -745, -1\/8 in decreasing order.\nAnswer: f, -1\/8, -745","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 2*r - 4*r)*(3*r - 4*r - r) - 1 + 366*r - 360*r - 9*r**2 - 2*r**2.\nAnswer: -5*r**2 + 6*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l - 7*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -137*y**2 - 10*y - 123. Let h(u) = 42*u**2 + 3*u + 41. Calculate -4*f(b) - 13*h(b).\nAnswer: 2*b**2 + b - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85.18 + -1.18. Let w = q - 84.00093. What is w rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2 + 0*x**2 + 3*x - 2\/3*x**3. Let a(p) be the first derivative of 4*p**3\/3 - 5*p + 9. Calculate 3*a(k) + 5*m(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.055 (c) -0.2 (d) 1\/6 (e) -1.43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -149 + 148.5. What is the second smallest value in -1.9, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) -5\/2 (c) -152 (d) -1.1 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 16 = 2*l, 2*s - 8 = 3*l + 18. Let r = l + -140. Let d = r + 274. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -326.2 - -325.8. Let i(j) = j**3 - 4*j**2 - 3*j + 5. Let b be i(5). Suppose -4*l - b = l. Put 2, 2\/13, l, x in descending order.\nAnswer: 2, 2\/13, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -512, -554, -596, -638?\n\"Answer: -42*c - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1427041623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 f, and 1 w when four letters picked without replacement from {j: 1, d: 2, f: 1, w: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*k + 3, -12*k = m - 17*k + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:54 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10101101110000111111 (base 2) to base 7\nAnswer: -6023024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 88?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5, -4438, 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7635 is divided by 703.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 1352697 - 1352697.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.37501 litres to millilitres.\nAnswer: 71375.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:43 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2949419*u - 2609591?\nAnswer: -2949419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/12 - 11*f**2. Let t(q) = -2*q + 4*q - 4*q. Give t(v(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyrejkkeytek. What is prob of sequence ye?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588143 to the power of 1\/2, to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 2652 = 3366 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 * -6.64\nAnswer: 116.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.15 (b) -2 (c) -1\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.8 - 14.8. Is d less than 0.21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*o**(2\/23))\/(o**(-2\/7)*o**(-2\/7)) assuming o is positive.\nAnswer: o**(-55\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 3*m**2 - 3*m - 4. Let v(l) = l**3 - 6*l**2 + l. Let s be v(6). Suppose -9 = -5*i + s. Is 14 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 15*v + 4. Let h be d(-15). Solve 0 = 2*k - h*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) 8 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 + 3*g**2\/2 - 158*g + 138. What is the derivative of q(j) wrt j?\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.4885 tonnes to kilograms.\nAnswer: 84488.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/60 + 3*f**4\/4 + f**3 - 12*f**2 - 5. Determine n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Suppose -c = 2*c + f*i - 26, -2*c - 3*i + 14 = 0. Suppose -2*g = m - c, m = -m + 3*g + 6. Solve o = -3*p + m, 0*o + p - 2 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1856642 is divided by 3876?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 248387774 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220*q + 36 - 9 - 17 - 10)*(47 - 1 + 23)*(2*q**3 + 3*q**3 - 3*q**3).\nAnswer: 30360*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4338483 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2749?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/((-2730640)\/(-868733)) - -56?\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*i*m*s + a**2*i*s + 2*a**2*i - 15*a**2*m - 2*a*i*s - 4*a*i + 2*a*m + 15*i*m*s + 2*s wrt a.\nAnswer: 2*i*m*s + 2*i*s + 4*i - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b + 71 = -118 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3366 and -125\/34802196.\nAnswer: 104406588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-36))\/((-2)\/(-8)). Which is the second smallest value? (a) -5 (b) s (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - 7*a - 8*a)*(0 + 43 - 22)*(0 - 2*a + 0).\nAnswer: 924*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164285 is divided by 5476.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:44 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3365 - 9?\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - (-714)\/8. Let c = 473 + -329. Find i such that -308*i**3 + 39*i**2 - 9*i + 52*i**4 + n*i**2 + c*i**4 - 7*i = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 2*t - 109550 = 0. Let f = t - 197117\/18. What is the common denominator of f and -41\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -23, -103, -225, -395, -619, -903?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -96*(4 + 19\/(-4)). Suppose -72 = -m + 3*r - r, m - 3*r = t. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c - 2*l - 6, 3*c + 5*l + 15 = 0. Let n be 0 - (1 - c) - -1. Suppose b - 4 = -n*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 7. Let j be p(-10). Let l = 18 + j. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c - 10. Let i be g(8). Suppose h + i = 4*o - 0*o, 0 = -2*o + 2*h + 22. Let a = o + -5. Let k(d) = -d**2 + 5*d + 1. What is k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.8460458 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 2*w + 4. Determine o(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 7.876771\nAnswer: 3.9383855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, v: 1, d: 1, z: 1, f: 1}. Give prob of sequence zdcd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9599 * -0.647\nAnswer: -6210.553","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 67 + 11 = -2*t, 33 = 3*u - 3*t. Let m = u + -8. Let k(c) = -c**2 - 6*c + 8. Calculate the remainder when k(-6) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 3064472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (384\/(-10) + 0)*40\/(-12). Suppose -6*r + d = -2*r. What is the remainder when r is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 4*a + a. Let h be 18\/(-8)*224\/42. Calculate the least common multiple of 20 and a*((-3)\/h + -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 8. Let c be s(7). Let t = 9 + c. What is the tens digit of 57\/9*(t + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:50 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*u - 0*u + 22, -2*u + 24 = 3*v. Suppose -u*f = -2*f - 1281. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*t = -23, -t = -34*x + 36*x - 4. Solve x*y - 1 + 29 = -5*n, -2*y = 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.9 - 18. Suppose -4*h + 3*g - 484 = 162, -g = -h - 161. Let y = h - -1469\/9. Is s < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/2 - 1683*b**2 + 10044*b = 0?\nAnswer: 0, 6, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 888305131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176863084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*q - 17*q + 150*q + 46*q in the form f + h*q and give h.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 - 780 = -211*r - 4246 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 468 divided by -117\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218028?\nAnswer: 2, 3, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/4*(7 - 1). Let z be 2\/p + (-14)\/(-105). Solve 0 = 5*k + w + 16, -3*w = -z*k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336420 less than 14791?\nAnswer: -1321629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55788295*t*x**3 + t*x**2 + 2*t*x + 88*t + 13*x**2 - 192*x wrt x.\nAnswer: 334729770*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from ddkd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1664*f**2 - 6*f + 6. What are the prime factors of w(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 151*d**6\/2 + 1823*d**2 - 5138*d. Differentiate a(f) with respect to f.\nAnswer: 9060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/60*-6\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1211110 (base 3) to base 5\nAnswer: 20320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0531 in -2, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/17573947 + -4795315048091\/281183152. Let s = l + 17060. Calculate the common denominator of s and 85\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 42408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -11*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s + 10. Let t be l(-7). Let o = -81 - t. Let m = 57 + o. What is the lowest common multiple of 10 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 1581.\nAnswer: 3794.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.908 - -0.092. Put 3, -1, -0.3, j in ascending order.\nAnswer: -1, -0.3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10400920, 20801841, 31202762, 41603683?\nAnswer: 52004604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 65\/2. Let z = -0.6 - 1.4. Let y = -198839\/8 - -24855. What is the closest to z in 1\/3, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(272)*-1 + 0 + sqrt(272) + sqrt(272) + 1)**2 - ((sqrt(612) + sqrt(612) + (sqrt(612) - 3*sqrt(612)) + -5 + sqrt(612))**2 + -2).\nAnswer: 116*sqrt(17) + 12694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 2567.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -100.1 + 87\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, 5, 36, 89, 170?\n\"Answer: q**3 + 2*q**2 + 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/(b**(-2)\/b))\/b)\/b)\/(((b\/(b*b*b\/((b*b**(2\/7))\/b)))\/b)\/b))\/((b*((b**5\/b)\/b)\/b*b)\/b*b**(-4\/5)))**21 assuming b is positive.\nAnswer: b**(369\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176189 and 146724778?\nAnswer: 1907422114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -123361*c - 4934444. Determine y(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 2. Let u be 1 - -2 - (2 - 0). Let i be q(u). Suppose -5*g = -s - 50, -2*g - 4*s - 2 = -i*g. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1801*k**2 - 28808*k + 7. Determine s(-16).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 divided by 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by ((-6)\/(-2 + (-9 - -6)))\/(2\/55)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v**2 + 199*v + 3. Calculate c(18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n + 200 = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/580441 and -17\/117.\nAnswer: 67911597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 101. Suppose -4*r - 20 = 0, -4 = k*t - r - 19. Solve -t*i - 13 = -3*b - 5, b = 3*i + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -530 (base 10) to base 12\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9361.996 minutes to microseconds.\nAnswer: 561719760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w - 52*w**3 + 3 - 21*w**3 - 2 - 3*w + 76*w**3 to r*w + q + i*w**2 + d*w**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:01 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6820 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 237853040*d**2 - 31561875?\nAnswer: 475706080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1357 and 217769.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9692.222 years in decades?\nAnswer: 969.2222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646432033.\nAnswer: 13, 49725541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 891?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) 89 (b) 639 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.5 + -2.5. Is 2 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -334527 (c) 0.3 (d) 6\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4151, 8198, 12245, 16292, 20339, 24386?\nAnswer: 28433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-18)*15\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, j: 1}. What is prob of picking 1 k and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1716, 1707, 1692, 1671, 1644?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*c - 6 - 3*c + 5*c + 0*c + (0 + 1 + 0)*(0 - c + 0))*(163*c**2 - 96029*c + 96027*c + 2*c**4 + 0*c**4).\nAnswer: -12*c**5 - 978*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6129 and 454?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d + 35. Let x be j(-3). Let y be ((-44)\/33)\/(0 - x\/492). Suppose 54*h - 56*h = -y. What is h rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 92, 211, 438, 809, 1360, 2127, 3146?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, f: 2}. Give prob of sequence tftt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31049\/50 - -621. Let v = 353\/150 - d. Let s = 6 - 3. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 27 - 53*v + 19 - 80*v + 35*v - 42. Let y(j) = 147*j - 6. Determine -8*s(d) - 5*y(d).\nAnswer: 49*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 i, and 1 x when four letters picked without replacement from {z: 2, x: 1, i: 1, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12985267 and 243107?\nAnswer: 8383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 68 = 2*q, 9 + 19 = 2*i - 2*q. Let y = i + -1. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*q + 8, 3*v - q = 59 - 67 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1639 + -1665.76. Let y = -0.24 + k. Let t = y + 32. Which is the closest to -1? (a) t (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1719086654, -1719086655, -1719086656, -1719086657, -1719086658, -1719086659?\n\"Answer: -k - 1719086653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(4\/(-8)). What is k in 4*k**2 + 2*k**r + 10*k**4 - 2*k**2 + 0*k**5 - 2*k**5 - 12*k**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 11*l**2 + 4*l + 104. Give o(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 548909900 and 15400?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1236 divide 411339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1281846 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*58\/(-29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d**3 + 10*d**2 + 25*d - 19. Let i(b) = 7*b**3 + 10*b**2 + 25*b - 19. Let c(k) = -3*i(k) + 2*r(k). Calculate c(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/3)*(o\/o**(-17))\/o*(o**(-1\/5)\/o*o)**28 assuming o is positive.\nAnswer: o**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) - (-4*1*sqrt(95) + sqrt(95))))\/((sqrt(180) - (sqrt(180) - -1*sqrt(180)))*3).\nAnswer: 8*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -16*l + 3. Let m be (-4)\/(-22) - (-35)\/(-11). Is n(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374346 and 3570.\nAnswer: 31819410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 189 + 21 = 0. Solve 3*y - 8 = w*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.2 and -11521?\nAnswer: 59909.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 2*w - 4. Suppose -z + 18 = w*z. Solve -4*u + z = -2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69331.68 days?\nAnswer: 5990257152000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m + 11*m + 418 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Solve -8 = 4*p + 4*o, -4*o = -m*p + o + 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 30. Let h(d) = -22*d**5 + 36*d**3 - 34*d**2 + 10*d. Let l(w) = 7*w**5 - 12*w**3 + 11*w**2 - 3*w. Let f(a) = i*h(a) + 10*l(a). Factor f(s).\nAnswer: 4*s**2*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 163 + (252 - (-170 + 429)).\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 15*j + 0*j + 42.\nAnswer: -j + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*m + 12, 3*m + 4 - 12 = z. Let l = 14 + -9. What is the smallest value in m, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.53 - -25.47. Let w = -21 + a. Let b be (2\/(-3))\/(13\/(-3)). What is the closest to -0.1 in -2\/9, w, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from dtggtdttttdtdttttss?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 11. Let b be 50\/30*(-6)\/(-5). Suppose -b*a = k - 202, -2*a - a + 301 = k. Calculate the highest common factor of a and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -1.8 (b) 6 (c) 0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, -5.857, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 961 and 623?\nAnswer: 598703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, y: 14}. What is prob of picking 3 n and 1 y?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/14)\/((-1)\/80). Let x = q + 245\/6. Sort -0.5, -0.3, x.\nAnswer: -0.5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*c = -40, -4*r + 5*c = -7*c + 23 + 69 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -34. What is the second derivative of 0*g**5 + 25*g**4 - 6*g - 25*g**4 - 2*g**d wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4264337202.\nAnswer: 2, 3, 710722867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eie when three letters picked without replacement from {e: 3, r: 3, o: 1, p: 3, z: 1, i: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -1374*n - 33127. Determine f(-27).\nAnswer: 3971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**4 - f**3 - f**2 - f - 1. Let l(y) = 29*y**4 + 5*y**3 + 5*y**2 + 38*y + 5. Let n(v) = 5*d(v) + l(v). Find the second derivative of n(x) wrt x.\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -612396 * -480.\nAnswer: 293950080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddpqdqxqtdqqddtdqt. Give prob of picking 3 d and 1 t.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13620 and 8955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -18. Let h = 124.2 - 139. Let p = 14.7 + h. Which is bigger: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112957 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 522 - 503. Solve 3*f = 2*a - 2*f, 0 = 5*a - 3*f - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1369 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -222 + 505. Suppose 0 = 6*s - i - 161. Let b = -63 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47)\/3 - -3*(5 - 4). Which is bigger: q or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p. Let d(h) = -7*h**2 - 17*h - 3. Let w(u) = -c(u) + d(u). Let q(x) be the first derivative of w(x). List the prime factors of q(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6207293.\nAnswer: 277, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 48*y**3 - 204*y**2 + 368*y - 240.\nAnswer: -4*(y - 5)*(y - 3)*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/99)\/(19\/57).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(1\/37)*s**(-2)\/s*s**(-4\/7)*(s\/s**(-1\/2))**(5\/3)\/((s\/s**(-2\/17))\/(s\/(s*s*(s\/s**(-1\/7)*s)\/s))) assuming s is positive.\nAnswer: s**(-37671\/8806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.5293305 - -146\nAnswer: 143.4706695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.1, -16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -62 (d) -1 (e) -85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323430969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)\/z**(-2\/9))**13*((z**(2\/5)\/z)\/(z**(-3\/8)*z))\/(z**(-2\/3))**(21\/8) assuming z is positive.\nAnswer: z**(-263\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2290, 2277, 2262, 2245, 2226?\nAnswer: 2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11460684 to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -1 + 156\/(-3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-16)*(-3)\/(18\/(-24))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 2\/5, -1\/5, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**3 - 51*d**2 - 14*d - 64. What is l(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 532656 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 25, 56, 97, 148, 209?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/10 + 8*p**3\/15 - 4*p**2\/5 + 6*p + 4. Let d(c) be the first derivative of s(c). Let d(r) = 0. What is r?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152 by -2306.\nAnswer: 76\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c - 4. Let w(d) = 1. Let p be 0*(4 + (-33)\/9). Let s(h) = 4*h + 19. Let f be s(p). Suppose -3*r + 22 - f = 0. Give r*t(g) + 4*w(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**3 - 28 - 31 - 5*w**2 + 8 wrt w.\nAnswer: -3*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/4 (b) 5 (c) -5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/20 - 11*r**4\/12 + 11*r**3\/6 - 21*r**2\/2 - r - 41. What is u(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071993 rounded to seven dps?\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from cecclcoletcut?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + -0.9. Suppose -12*c - 617 + 629 = 0. Which is bigger: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(144\/12))\/(-1)*2\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3571*p - 1413*p - 1460*p. Let a(n) = -2*n**2. Give g(a(s)).\nAnswer: -1396*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*0*28\/504\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13940 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 17 = 5*r, -7*m + 8*m - 1 = 0. Let t(z) = -3*z + 4. What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224764, 1, 26.\nAnswer: 1, 26, 224764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14007*f + 3 + 2 - 3 - 992*f.\nAnswer: 13015*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 11593*g - 4310016.\nAnswer: (g - 366)*(g + 23552)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73408 or 73407?\nAnswer: 73407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061680067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99, 92, 81, 66?\n\"Answer: -2*i**2 - i + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + a + 3*a)*(-2 + 28 - 22*a**2 + 21*a**2) + (-4*a + 0*a + 2*a)*(-a**2 - 3 + 3) to h*a + t*a**3 + j*a**2 + n and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10480?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. What is the lowest common multiple of p(0) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19795395394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*a + 276 = 0. Let i = a + -48. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9844 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssp when three letters picked without replacement from splppsopppopss?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10474\/5 + 2087. What is the common denominator of 57\/25 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3864)\/35 - 6\/10. Let s be 2\/((-78)\/w) + -3. Which is the nearest to -0.1? (a) s (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3147, 4212, 5279, 6348?\nAnswer: 7419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let f(r) = 8*r + 4. Let u = 37 - 36. Calculate u*f(w) - 4*m(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:12 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 35*w**2 - 107*w - 1326. Determine u(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 3*x - 76, 0 = z - 36*x + 31605 - 31724 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154594261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16202, 15394, 14586, 13778, 12970?\n\"Answer: -808*p + 17010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, 3, -15 in decreasing order.\nAnswer: 5, 3, 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 5*y - 3. Let n(a) = a**3 - 13*a**2 - 13*a - 9. Let u be n(14). Let x be i(u). Let s be 2 + 0 - 4 - x. Let k(p) = 3*p**3 + p. Determine k(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.36. Let p be 56\/21*-1*18\/(-228). Put q, -1, p in decreasing order.\nAnswer: p, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 302.\nAnswer: 8758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1506.884526ms?\nAnswer: 0.000002491541875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*p - 30. Let a = -6 + p. Suppose 0 = -2*u - 3*d + 116, a*d + 0*d = 3*u - 208. Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 2*l = -144. Suppose l = -i + 4*i. Solve -h = -i*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171884740 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11313300 divided by 129.\nAnswer: -87700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 - 10. Let l(h) = h**2 + 1. Let r(t) = 8*l(t) + y(t). Factor r(i).\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let g(r) = -2*r + 54. Let w(u) = 2*u - 73. Let s(m) = -5*g(m) - 6*w(m). Calculate s(o(p)).\nAnswer: 4*p**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 4\/125, -0.0426, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 84 = 4*a, -4*x + 929 = 5*a + 1043 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(3 - 5 + 4)*(-63*z - 14*z - 7*z).\nAnswer: 168*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (35 + -8 + -17)) + 95.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.670678nm in kilometers?\nAnswer: 0.000000000004670678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2)*p*p\/((p\/(p**(-1)\/p)*p)\/p))\/(p**(-2\/63)\/p**(-1\/16)) assuming p is positive.\nAnswer: p**(1985\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1557 and 405?\nAnswer: 70065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -28.9. Let d = -6 - i. What is the second biggest value in 1, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180) + -5 - sqrt(180))*3 + -2 + (-2 + sqrt(180))*1 + (sqrt(180) - (-5 + 1 + sqrt(180))) + -5)**2.\nAnswer: 1920*sqrt(5) + 11920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4434 + 0?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362 = -4*g + 5*a, 7*a - 2*a + 10 = 0. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n = -12*n + 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5587146.2 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68144+-0.4\nAnswer: -68144.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 170404 = -2*f - 327371. What is the thousands digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12422, 27257, 42092, 56927, 71762?\nAnswer: 86597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181140341.\nAnswer: 23, 7875667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*18\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*((l**(-2)*l)\/l)\/l*l\/l**(-6))**(-2\/25))**(-17) assuming l is positive.\nAnswer: l**(204\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*v**3 - 3*v**2 - 5*v + 10587 wrt v.\nAnswer: -354*v**2 - 6*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:53 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 812.9222cm?\nAnswer: 8129222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -20, 8*h - 1138 = 19*h - 3*o - 1403 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1030 - 520. Let v be (2\/(-3))\/(2\/l). What is v rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 - b - 223. Let t be n(0). Let l be 0 - t - (-3 + 18\/3). Let i = l + -99. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c - 2*s - 1622, 0 = -5*c + s + 8101. Suppose -4*i + 2*b = -c, i + 3*b - 391 = -0*b. Let f = i + -276. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.849 decades in years?\nAnswer: 2038.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128274 - 1000*b + 128274.\nAnswer: -1000*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8997714, 23 in descending order.\nAnswer: 8997714, 23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/186*6\/(-26)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/650 and -71\/45.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 13*w**2 + 13*w + 24. Let o be x(15). Let s be 1 + o\/(-45) - (-2)\/(-15). Solve -2*f + s = 2*i - 2, -6 = 2*f - 5*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 x when four letters picked without replacement from xiiiixixix?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = 0, 48 = -q + 2*q + 5*d. Let b = 83 - q. Does 7 divide (-10)\/b - 70\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(((-4)\/4*-1)\/(512\/192)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 62\/56 - 0 - (-39)\/(-156). Find v, given that -2\/7*v**3 + u*v**2 - 6\/7*v + 2\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {o: 1, v: 3, p: 2, z: 3, l: 2, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938507 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146615935 by -3.\nAnswer: 146615935\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -9. Suppose -4*d = l - 7 - 2, 0 = h*d + l - 11. Suppose 5*y = d*b - 111, -y = 3*b - 5*y - 177. What is the highest common factor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y + 2*t - 2 = 0, -3*y - t = -1. Let k be 66 - (-1 - y - -3). What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1363765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -27636?\nAnswer: 469812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53.7 and 284.\nAnswer: -15250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 64. Let a be (-250)\/(-20) - c\/2. Solve -8 = -5*b + a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -5*m - g, 3 = 5*m - 4*g. Let r be -1*(1 - 2) - -1. Suppose r*k = -2*p, 4*p + 1 = -m*k + 3. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8014 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -51004 (base 10) to base 11\nAnswer: -35358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + j**2)*(3 - 2 + 0) + 216 - 218 + 0*j**2 + 3*j**2.\nAnswer: 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 43223989578178?\nAnswer: -43223989578177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 1) + -5 - 45. Let x be (-6)\/21 + i\/28. Let w be x - (0\/3)\/(-3). Which is the third smallest value? (a) -2\/9 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 26 - 4*r**2 - r**4 + 2*r**3 + 54 to the form t*r + g*r**2 + s*r**4 + y + o*r**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2. Let c = 4 + 1. Suppose -i = -0*i - 3. Let y(k) = k**2 + c*k**3 + 2*k**3 - k**i - 4*k**3. What is o(s) + y(s)?\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**4\/8 - a**3\/3 + 2*a**2. Let l be h(-2). Suppose l*r = 4*v + 3*r - 48, 2*r - 12 = -v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:30 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-28)*35\/(-5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + 1 - (121 - 92) - -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) - 1*(sqrt(2) - (sqrt(10)\/sqrt(5) - sqrt(2))) - sqrt(2)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y - 3*t - 188, 0 = 4*y + 5*t - 156. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:42 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2\/11)\/k))\/(k**(-13)\/k)*(((k\/(k*k\/(k**(2\/23)*k)))\/k*k*k*k)\/k*k)\/(k*k**(-47)))**(-5) assuming k is positive.\nAnswer: k**(-81300\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**2*t**3 - 2*r**2*t**2 + 42*r**2 - r*t + 1436391*t**5 + 26*t**2 + 573*t wrt t.\nAnswer: -24*r**2 + 86183460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + 4*q**3 - 3*q**3 + (4 - 3 - 3)*(0*q**3 + 2*q**3 - 4*q**3) - 2*q**3 + q - q + (-2*q + 3*q + q)*(q + q**2 - q) - 3*q + 6*q**3 + 3*q.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(-18)\/(-4)*7\/84?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 36. Suppose -5*m + 37 - 1 = 2*s, 5*s - 28 = 3*m. Solve -8 = 4*l + 2*p + d, 0 = 4*l - 2*p + s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3301.6 + 3230. Round r to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and 121\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4*v + 0*v. Let i = -22 - -24. Let b(f) = -3*f + 5*f**2 + f + i*f. Calculate a(b(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1664054 (base 7) to base 14\nAnswer: 61564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-7 - (-4 + 16)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7101 = 3*k - 11*s + 8*s, k + 5*s = 2349. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/7 (b) -0.11 (c) 2 (d) -22 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -94, -140, -184, -226, -266, -304?\n\"Answer: p**2 - 51*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 35*u**3 - 8*u**2 - 501*u + 2999. List the prime factors of c(6).\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*p = -877, 2*p - 148 = -f + 277. Suppose -3*n = -0*w - 2*w + 857, w - 4*n = f. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36921 and -157?\nAnswer: 5796597","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 9 = z, 14*n = -2*z + 16*n + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/12 - -1\/6. Let n = -2 - -2.5. What is the nearest to -1\/4 in n, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70574229 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 248941955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**4 - 4624*i**3 + 1345552*i**2 - 5326848*i + 5308416 = 0.\nAnswer: 2, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q**2 + 18*q**2 + 32*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 7. Let m be q(-3). Suppose 0 + 1 = 3*g - 5*f, -4*g - 2*f = -36. Let v = m + g. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 26*x - 11*x - 12*x. Let l(a) = -5*a. What is c(l(d))?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*y - 7, -2*j = -5*j - 4*y + 2. Suppose -458 = -7*c - 332. Let i be c + -25 - (-11 + 3). Solve j*v + 7 = 4*x + i, 0 = v - 3*x + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 259090*i**2 + 3108360*i.\nAnswer: 5*i*(i + 12)*(i + 51806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-21) - 1\/((-42)\/(-564)). Which is bigger: s or -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1188892*q**2 + 222671*q**2 + 256*q - 256*q.\nAnswer: -966221*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + -1 - sqrt(544)\/sqrt(2).\nAnswer: -1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 5, -38, 15208, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 13904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 2 r when four letters picked without replacement from {a: 5, u: 5, g: 3, r: 2, c: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.4905 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a - 6. Let j be 1\/a*(-1 - 7). What are the prime factors of (-5)\/((-10)\/j)*18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 15. Let m(i) = 59*i + 588. Let n be m(-10). Let r(a) = 3*a - 31. What is n*r(q) - 5*f(q)?\nAnswer: -q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/19 in 30.69, 0, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-21)*(35 + 1). Suppose -21 = -3*c - u. Suppose r = c*h - 8*h + 234, -4*h - 3*r + 196 = 0. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1\/(-5)*(-95)\/(-76)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:05 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**2 + 221 - 221 + 7*w**3 + 16*w**2.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7033272?\nAnswer: 2, 3, 59, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*z - 100 = 0, -3*z + 475 - 19 = 5*b. Suppose -b = 6*u - 600. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 223\/6? (a) 16\/19 (b) 5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/17 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371 - 463*f**2 - 290 + 3*f**3 + 661 - 452*f**2.\nAnswer: 3*f**3 - 915*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -92*r. Let n(a) = 5*a. Let z(k) = -c(k) - 18*n(k). Let y(b) = 19561*b**2. Give y(z(f)).\nAnswer: 78244*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391882 minus 1703191?\nAnswer: -1311309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.6 - 1.6. Let k = -21347\/17 - -1257. Let a = k + -205\/119. What is the biggest value in -4, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12489, 12487, 12483, 12477, 12469, 12459, 12447?\nAnswer: 12433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 14*w**2 - 7*w + 25. Let k be m(-14). Let n = k + -77. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 34*s + 1. Let t be m(1). Suppose 22 = v - t. What is the highest common divisor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**5*l))\/(l**(-4)*l*l))**(3\/5))**(3\/14) assuming l is positive.\nAnswer: l**(-27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 + 287 - 81 = 96*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9703 (b) -3\/7 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*f - 6 = 0, 6 = -x + 4*x + 3*f. Suppose -3*z + 16 = -z + 5*g, 3*g = 12. Suppose 0 = 2*y - y. Put y, x, z in ascending order.\nAnswer: z, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.208 - 0.078. Is -21 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41173 and 277343?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + a + 6. Let k(i) = 6*i**2 - 2*i - 1. Suppose 3 + 3 = 3*c. Calculate the remainder when b(-6) is divided by k(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 3. Let r be -8*(-1)\/((-6)\/(-105)). Calculate the remainder when o(4) is divided by ((-6)\/(-5))\/(21\/r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 46, 398, 1360, 3238, 6338?\n\"Answer: 51*y**3 - y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g + g)*(2 - 2 - 3)*(1 + 6 + 4) to f*g + p and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-7)\/(-3)) - 31. Let a = s + 36. Solve -3 - 3 = -a*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829041 is divided by 63.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 5*a + 1. Let q be n(-4). Let c(f) = -q*f + 19 - 19. Let u(y) = 2*y**2. Give u(c(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1309.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**3\/6 - f**2 + 2*f. Let v be h(-6). Solve 0 = -r + v*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -0.04, -4, 0.5 in decreasing order.\nAnswer: 13, 1, 0.5, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**4 - 2*f**4 + 4*f**4 + (-f - 3*f + 2*f)*(-26*f**3 + 73*f**3 + 41*f**3) to the form a*f**4 + n*f + p*f**2 + o*f**3 + s and give a.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 - 1 = 0. Let i = 9 + s. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -120023.7?\nAnswer: -120027.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r + 0*r**3 + 10*r - 6*r**2 + r**3. Suppose 1592 - 1496 = 24*o. Determine c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0881584+-9658\nAnswer: -9658.0881584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -9*o + 126, 5*o - 11 - 9 = 0. Calculate the least common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1035 + -532. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose 0 = -b*j - 2*j + 75. Calculate the remainder when 59 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3\/(-1))\/(15\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 0.4, -5\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - 17*v**2\/2 + 30*v + 2. Let o be x(12). Let g = o - -33. Solve 6 = g*n - 0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + f**3 - 2*f**2 + (0*f + 0*f + 2*f**2)*(-2*f + f - f) + 66*f**2 - 745*f - 2*f**3 + 745*f as m*f**2 + k*f**3 + b*f + h and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -10 + -3 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = s - 5*u, -4*s - 4*u = -36 + 4. Let d be (3\/s)\/(2\/4). Calculate the remainder when 9 is divided by ((-10)\/(-4))\/(1\/d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let m be -1 - 1*-2*h. Suppose 4*k = -k. Do k and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4\/5 (b) 1.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 160*c + 187. Let i be g(-79). Solve 21*f + 76 + i = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7276 and 5136?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 5. Let k be u(3). Let p = 1643.2 - 1970. Let c = p - -327. Put -0.2, 1.2, c, k in decreasing order.\nAnswer: 1.2, c, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**4 + 85*j**3 - 35*j**2 - 85*j + 50 = 0 for j.\nAnswer: -1, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.08, -1, 3.3, 2\/9, 1\/2, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g - 1. Let z(u) = -9*u**3 + 4*u + 4. Let p = 2 + -3. Suppose 58*d + 87 + 120 + 25 = 0. Give d*q(v) + p*z(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*h - 1678 + 1656, 3*h = -4*c - 63 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 295416 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 + 894*m**3\/5 - 2296*m**2\/5 + 1176*m\/5 = 0.\nAnswer: 0, 7\/10, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4 and -1\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719587843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -3\/5, 29422?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 8*i**2 + 9*i + 3. Let w be s(9). Determine x so that -6*x + 0*x - w*x + 3*x**2 + 6 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144411, 144410, 144409, 144408, 144407?\nAnswer: 144406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1256 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: Which is the smallest value? (a) -180 (b) 0.37 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 9:12 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*f**3 - 350*f wrt f?\nAnswer: -138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8499 = -3*c - 2*x, -14165 = -5*c + 22*x - 18*x. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 = 5*f + 5*h + 78, 2*f - 74 = h. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*l**3*w*x + i*l**3*w + 2*i*l**2*x - 3*i*l*w*x - 4*i*l*x - l**3*x + 32*l**3 + 3*w*x wrt l.\nAnswer: -6*i*w*x + 6*i*w - 6*x + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 11600)*(-5)\/(-1). Suppose -1 = -2*g - 3*z, -g + 4*z - 28 = 3*g. Let s be ((-10)\/g)\/((-5)\/h). Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*s - 175478 = 184*s + 199457. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (980*10)\/2*(5 + -1135). Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19958.999956103 + -19959. What is n rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 37. Let l(v) = v + 8. Let j(w) = 4*l(w) + t(w). Let z(n) = 2*n**2. What is z(j(q))?\nAnswer: 50*q**2 - 100*q + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 26*z + 15. Determine r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 441412.\nAnswer: 441412.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2098 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, -120, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i = 84*i - 2*x - 10, 21*i = -3*x + 384 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 2*i + 82. Is s(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*k + 2. Let u be k\/(-2)*(-12)\/1. Suppose -q + c = -u, q + 3*c = c + 21. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 0.5 (c) -21756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/201720 and -49\/18040.\nAnswer: 2218920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 17 - 5. Let w be (1\/i)\/((-2)\/(-8)). Suppose 3*h - 164 = -m, -w*m + 161 = -3*h - 212. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1500*q + 211508. Give b(-141).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 235 (base 6) to base 5\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*b - 14, 3*g = -0*b + 2*b + 2. Suppose u - b*j - 37 = 0, -2*u - j = -0*j - 30. Calculate the remainder when 99 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -942.943, 2\/3, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 20*n)*(-5*n - n + 2*n) - 2 + 2 + n**2.\nAnswer: -79*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 1, -3*y = 5*m + 2*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, -17, 0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20 + 14)*(-116)\/6. Calculate the greatest common factor of 145 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 + -1.3. Let c = -8 - -5. Let p = c + k. What is the second smallest value in 0.4, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 35*j + 37*j = 8, 5*x - j = -20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-476748)\/11152*12\/9\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, l: 9, k: 2}. Give prob of picking 1 a and 2 k.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3334, -3492, -3762, -4144, -4638, -5244?\n\"Answer: -56*q**2 + 10*q - 3288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j + 952 = 2*k, k = -5*j + 249. Let g be (1 + -3 + 4)*15\/15. Suppose -1 = -z, 2*h - g*z = -z + k. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -330 = -754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l + 24 = 0. Let z = l + 13. Calculate the remainder when 14 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 12 - 30 + 2*y - 44.\nAnswer: 2*y - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 326 + -319. Is c + (4847 - 3) - 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2299)*-2 + -2) + 5 - (-5*-2*sqrt(133))\/(-6*sqrt(343)).\nAnswer: 11 + 1391*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 4*f - 36 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 731\/(-215)*((-22 + 12 - -11) + 14)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 + -106. Is (428\/(-8) - w)*328\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**3\/12 + 7*i**2\/2 + 27*i\/4 - 84. Suppose b(d) = 0. Calculate d.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-1*-2 + sqrt(1900))*4*4)**2.\nAnswer: 4377600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3*j**5\/5 - j**3\/3 - 13*j**2\/2 + 47. Find the second derivative of t(z) wrt z.\nAnswer: 36*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17642 - -43373. What are the prime factors of h?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441 - 240. Let r be 2\/(s\/(2 - 5)). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-31\/2)*h*h*h*h**(-1\/15))\/(h\/(h*h**26)*h**(2\/17)) assuming h is positive.\nAnswer: h**(23111\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {k: 4, q: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -33*u**3 - 2*u**2 - 6*u - 6. Let q(m) = 32*m**3 + 2*m**2 + 5*m + 5. Let p(n) = -5*d(n) - 6*q(n). What is the third derivative of p(j) wrt j?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2442409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**5\/20 - 3*w**4\/8 + w**3\/4 - 11. Let b(i) = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -3 (b) -9 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106399020*n + 167937370 wrt n?\nAnswer: 106399020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*(2*s**2 + 3*s**2 - 6*s**2) - 2*s**2 - 1 + 1 + s**2 + 0*s**2 - 14*s**2 + (4 - 1 - 1)*(5*s - 5*s - s**2).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 26\/(-16) + 11 - (-6)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 1974190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**4 + 9*c**3 - c**2 - 8*c - 4. Let y(z) = z**4 - z**3 + z**2. Let t(b) = j(b) + y(b). Factor t(f).\nAnswer: 4*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -633 + 1287. Let x = i + -428. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:58 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6722*-2098\nAnswer: -14102756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83124*r**3 - r**2 + 1504*r - 26?\nAnswer: -498744*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388543 not equal to 1388539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from payayypbypyy. What is prob of picking 3 y and 1 b?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108, 931, 3174, 7551, 14776, 25563?\n\"Answer: 119*w**3 - 4*w**2 + 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 2:58 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 42, 1, 30 in descending order.\nAnswer: 42, 30, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.1. Suppose 98 = -2*x - n, 0 = 3*x - 2*n + 827 - 722. Which is the closest to x? (a) 5 (b) k (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5*h - 4*x - 24016 = 0, -5*x = -2*h + 11999. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 22. Let q(f) = -f**2 + f. Let z(b) = -b**2 + 8*b + 2. Let k be z(8). Let m be q(k). Put m, 3, s in increasing order.\nAnswer: s, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4921*b - 9853*b + 4926*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**4 + 23*v**3 - 873?\nAnswer: -12*v**3 + 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9139, -9128, -9117, -9106?\nAnswer: -9095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 3, k: 6, y: 5}. Give prob of picking 1 w and 3 k.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 6. Let u = -1.8 - -2.2. Let l = 1 + -0.9. Which is the third smallest value? (a) u (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 32 = -7. Suppose -2*h + p + 5 = 0. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 17*a - 34. Let u be w(15). Is (4 - (-655 + -2)) + u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10491*z + 4448159. Calculate c(-424).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 182 = 7*q + 16 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17825615 + -10075615. What is z rounded to the nearest 100000?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 2*z - 1. Let m be w(-3). Suppose -104 = -m*l + 14. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose 0 = -6*c + 15 + 3. Suppose b*h - 346 = -f - c*f, 343 = 3*h + f. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -321 + 840. Solve d = -u + 521 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21001231301020 - 2?\nAnswer: -21001231301022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-272)\/(-64) + (-5)\/4 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*s. Suppose q = s*q + 1. Are -3 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(10\/9)\/(l\/l**(2\/43)))**(-2\/93) assuming l is positive.\nAnswer: l**(-122\/35991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 27*k**2 - 21*k - 568. What is p(-27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*39*(-8)\/24?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -13 + -2 - (-2 - (-1 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 443 (b) -2\/7 (c) 0.2 (d) -27\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(8\/9)\/s)\/s)\/((s*s\/(s*s*s**(-3)*s*s))\/s))\/((s*s*s*s**8)\/(s**7*s)) assuming s is positive.\nAnswer: s**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39717a - -b?\nAnswer: 397187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 - 2*m + 1. Let x be s(1). Let h = 15\/7 - 158\/77. What is the smallest value in -2, x, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2168\/269) + 1\/4. Let x = d + 7023\/12466. Calculate the common denominator of 23\/7 and x.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 1239905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 243*b - 12361. Calculate y(175).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:48 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 2\/5443, 0.01, 2\/9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752244 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 + 89*j - 36*j - 68 - 43*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + r**3 - 16*r**4 - 1 + 2*r**4 + 1 + (3 - 1 - 1)*(-r**3 - r**4 + r**3).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*f + 8 = 0, -4*m - m - 2*f - 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 0.16625.\nAnswer: 3.83375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 44. What is the units digit of j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/9317 - 846\/9317. What is the third smallest value in -3, m, -757, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 859 divide 253064836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*o - 22947, -4599 = -o - g + 4*g. Suppose 4*i = -i + 5*u + 5740, -4*i + 5*u = -o. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77337 divided by 3\nAnswer: -25779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 4 + (sqrt(13) - (-1 + sqrt(13))) - sqrt(91)\/(sqrt(35)\/sqrt(5)*4))**2.\nAnswer: -sqrt(13) + 141\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) -2 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 69*t - 17. Let n be m(-28). Is -378 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/119940 and -53\/239880.\nAnswer: 239880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, -5, 5, 2\/25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6780 = -k + 2*r + 3753, -5*k - 5*r = -52740. List the prime factors of k.\nAnswer: 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 108685930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((156\/1664)\/(2\/(-8))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -759*x**4 - 11313*x**3 - 9534*x**2 + 1188*x + 168 = 0.\nAnswer: -14, -1, -2\/23, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -11058491.\nAnswer: 1105849.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8495 - -8497. Let w(z) = -2*z**3 + 3*z - 6. Calculate w(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 + 98\/21)\/(2\/(-558)) is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/20 + 1478\/(-24). Let x = j + 62. Which is the smallest value? (a) x (b) 0.5 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 509, 515, 523, 533?\n\"Answer: c**2 + 3*c + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 28*n**3 + 6*n**3 + 42 + (5*n**2 + n**2 - 4*n**2)*(3*n - 3*n - n).\nAnswer: -26*n**3 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 24672963 to the nearest 100000.\nAnswer: 24700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/7 + 2*l**3\/7 - 512*l**2\/7 - 512*l\/7 = 0.\nAnswer: -16, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 12, f: 1, a: 5}. Give prob of picking 1 v and 2 a.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:04 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, n: 12}. Give prob of sequence wwwn.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/(r*(r\/(r**5*r*r))\/r*r))*r))\/((r*r\/(r*r**(-9)*r)*r)\/r)*(r**(-1\/2))**(-33) assuming r is positive.\nAnswer: r**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 5725836*k**2 + 5725791*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266.89736 rounded to the nearest integer?\nAnswer: -1267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 - -0.2. Let y = h + -8.84. Let l = y - -9. Put l, 2, 0.3 in descending order.\nAnswer: 2, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*s - 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -112, 559, -3 in decreasing order.\nAnswer: 559, -3, -14, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*g + 3*g - 30, -2*s + 33 = -5*g. Suppose v = s*v - 36. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/6 + 31*i**2\/3 + 59*i\/2 = 0. What is i?\nAnswer: -59, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 45*c + 260. Calculate m(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5586\/11 - -155583\/308. Let p = 0 + -3. Find the common denominator of l and -3 - p\/(72\/147).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.5198972 to the nearest integer.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)\/((d**(5\/3)*d)\/d))\/(d**(-1)\/d**0)*((d\/d**0*d)**(-7\/5))**(-20\/3) assuming d is positive.\nAnswer: d**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 1100?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + 1 - 140\/15)\/((-4)\/(-3)). What is the nearest to -2.5 in -1\/3, n, -0.5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 13*p + 11. Let v be l(-14). Suppose 5*x = v, 695 + 404 = 2*u - 3*x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2 + 1266*j - 83727 = 0?\nAnswer: -1329, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f + 5*y, -2*y = 4*f - 4*y - 2. Suppose 0 = 4*u - 2*z - 14, -2*z - 16 = -6*u + u. Solve -f*s = u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*h - 25, 2*h + n = 55 - 56 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ggmgmmmlmmryg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 155 - 41. Let d(y) = y**3 - 5*y**2 + 4*y + 14. Let x be d(5). Suppose -x + r = -8*a. Put 1, -3, a in decreasing order.\nAnswer: 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5 - 12*a**4 + 14*a**3 + 36*a**2 - 88*a + 48 = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7546 - 7442 = 52*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1660883 or 1660869?\nAnswer: 1660883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 161*u - 136*u. Solve -10*o + 11*o + u = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1336 = -24*w - 1424. Is w at least -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 261 and 3016.\nAnswer: 27144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84397 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -657.16054 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -0.3, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 - -406. Let t = 190.6 - s. Let y = -12.28 + t. Round y to 1 decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 + 4450291225524*j - 4450291225524*j.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t - 1. Let y(u) = -1. Let m(i) = -13*i + 3. Let p(c) = -3*m(c) - 6*y(c). What is h(p(a))?\nAnswer: -390*a + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37.1 - 37.1. What is the second biggest value in h, 1\/8, -5\/9, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g + 40. Let y(f) = -f + 13. Let h(l) = -2*n(l) + 7*y(l). Calculate the smallest common multiple of h(-10) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6769, -13211, 5 in descending order.\nAnswer: 5, -6769, -13211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 88033030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 71*r + 101. Let s be w(13). Solve -a = -5*q + s, -q = 7*a - 6*a - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(6))\/sqrt(9) - sqrt(36)\/(sqrt(12) + sqrt(192)).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 721834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 4}. Give prob of picking 2 z and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544447?\nAnswer: 443, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 2*m + 3*m)*(-36*m**2 + 36*m**2 - 57*m**2) as h*m**2 + o + r*m**3 + t*m and give r.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1019, 24, -6 in ascending order.\nAnswer: -1019, -6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196136*i + 4 - 4 - 193793*i.\nAnswer: 2343*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -2389*o**9\/252 - 167*o**5\/12 - 30*o**2 + 4*o + 3. What is the third derivative of s(k) wrt k?\nAnswer: -573360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:07 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 times -1903?\nAnswer: -932.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124c4c7 - 5?\nAnswer: -124c4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1*2\/(-4)*-117. Let y = p - 113. What is the units digit of (y\/(-48)*4)\/((-2)\/78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/36 - 2\/(-8). Suppose -3*n + 11 + 13 = i. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19753244 + -717.\nAnswer: -19753961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 50. Suppose y*m + 24 = 4*m. Suppose m*k - 27 = -141. Which is smaller: -21 or k?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -240b7082?\nAnswer: 240b7080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -302, -98 in decreasing order.\nAnswer: 0, -5, -98, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - z + 1. Let d(t) = 2*t**2 + 2*t - 5. Let k(g) = -d(g) - u(g). What is the units digit of k(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 33. Let x be (-16)\/(-6) + (-4)\/i. Suppose -5*w = q - 47, 5 = -x*q - 4. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*x - 16, -3*k + 3*x + 21 - 9 = 0. Let d = 6 - k. Suppose d = 4*y - 2*p, 0 = 4*y + 2*p + p + 3. Is y at least as big as -4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - 9 + 16*z - 1 - 9*z**2. Let b = 2 - 4. Let v(d) = -d**2 + 3*d - 2. Give b*k(u) + 11*v(u).\nAnswer: u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 - 98*g**2 - 523*g + 299. Determine i(-6).\nAnswer: 989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 - p + 2. Let z(c) = -c + 5. Let y be z(7). List the prime factors of s(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) + (-7)\/(-4). Calculate the common denominator of 145\/u*(-9)\/180 and 19\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 0*c**5 + 0*c**5 - 4*c**5 + 7*c**5 + c**5 - 2 + c**5 + 2 + (0*c**3 + 2*c**3 - 3*c**3)*(-5*c**2 + 2*c**2 + 2*c**2) + 0*c**5 - 2*c**5 + 0*c**5.\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x + 248*x = -119*x + 34*x - 14178 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1137 or -1208?\nAnswer: -1208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8556096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:56 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 192759*q - 192758.\nAnswer: -(q + 1)*(q + 192758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 253*t + 30096. Calculate o(-119).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*j - 3*j + 69 = 0, 0 = 2*r + 2*j - 50. Suppose z = -z + 384. Calculate the highest common divisor of z and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, w: 2}. Give prob of picking 2 w and 2 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Let x = 2 - 2.1. Let s = -2\/865 + -1036\/865. What is the nearest to x in -2, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*b - 3 - 24*b + 84 - 54*b wrt b?\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**6 - 7*h**6 + 16*h**2 - 7*h**6 - 42*h**2 wrt h.\nAnswer: -1920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*f - 14. Let v(s) = 60*s - 3. Let c be v(6). Let j = c + -4643\/13. What is the smallest value in j, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589387101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 100110 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2046499 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, 2\/17, 2, -19, -2\/155?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 60010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, k: 9, f: 1, m: 2, z: 4}. What is prob of sequence dkkm?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2782 by 1391.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -1\/7, -135\/4, -10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + 4*r = -26, 0 = 4*q + 5*r + 19. Let j = 7 + q. Suppose -k + 5 - 3 = 0. Sort -1, k, j in increasing order.\nAnswer: -1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 545252?\nAnswer: -545230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 11. Let l be b(9). Let o(r) be the third derivative of 0 + 0*r**3 - 1\/24*r**4 + 0*r + r**2. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*w = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4835, 22159, 69171, 160715, 311635, 536775, 850979, 1269091?\nAnswer: 1805955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 8*a**2 + 2*a + 10. Let n be t(7). Let q = -11 - n. Let u = q + -6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**2 + 14*o**2 - 100*o**2 - 2*o**3 + 1 + 0 to a*o**2 + b + u*o + q*o**3 and give a.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 0*h**2 - 3 + 5*h + 0*h**2 + h**2. Let b be o(-5). Let g be b\/(-6) - (-117)\/6. What is the highest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbt when three letters picked without replacement from jjqwbwttiwbwjiqt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/12 + 27*d**3\/2 + 84*d**2. Let s be r(-31). What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/6)*b**1)**(-41))**(-8) assuming b is positive.\nAnswer: b**(1148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376514, 376539, 376564, 376589, 376614?\nAnswer: 376639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012111032 (base 4) to base 15.\nAnswer: 218ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 708.2 + -710.4775. Round y to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8*186\/(-2821))\/((-9)\/12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 410 + -396. Solve -5*t + x = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3303039 and 738993.\nAnswer: 2361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/112, -0.4, -1 in decreasing order.\nAnswer: -3\/112, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 16 - -10 - (-1 + -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Calculate prob of sequence je when two letters picked without replacement from ejejjjjj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22441580 divided by 5.\nAnswer: -4488316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -f + 6*k - 5, 5*k - 10 = 2*f. Let b(g) = g**2 + 5*g + 4. Let z be b(f). What is the first derivative of 1 + 7 + 3*x**2 + 2*x**2 - z wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55096225 divided by -11019245?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -111. Let d = 144 + s. Suppose -d = 2*z - 3*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 4*g**2 + 3*g**2 - 41.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42397 times 764.2\nAnswer: 32399787.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -29, -39, -57, -89, -141, -219, -329?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 26*b + 2. Let s(o) = -o**2 + o. Calculate -q(p) - 4*s(p).\nAnswer: 3*p**2 + 22*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17268, 17354, 17440, 17526, 17612, 17698?\nAnswer: 17784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 119084.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by 4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15514)\/(-162897) - (((-4827)\/1575)\/1 - -3)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(-1 - (-10)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-2*sqrt(5))*-3.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 5. Let o = -180.27 - l. Let a = o - -0.17. What is a rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**3\/7 - 3459*w**2\/7 - 864*w\/7 = 0 for w.\nAnswer: -288, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.4 + 15.4. Let k be (24\/112)\/(153\/119). Which is the closest to 0.1? (a) x (b) -0.01 (c) k (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*l + 49 = 7*l, s + 27 = 4*l. Let w(r) = -98*r - 74. Let f(y) = 50*y + 37. Let q(v) = s*f(v) - 6*w(v). Differentiate q(d) with respect to d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2 (c) 0.01 (d) -10373\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = 2*x + 3, 3 = 3*k + 3*x. Let b(a) = 2*a + 9. Let p be b(-4). Put k, p, 0 in ascending order.\nAnswer: k, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -497840722?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 3 (c) -3\/7 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -131*f**3\/6 - 11*f. Let i(m) = 2*m + 13 - 31 + 18. Determine b(i(o)).\nAnswer: -262*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 56, 295, 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72051 and 41877.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-76)\/10 - -8) + (-145824)\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 - 0.23. Which is the fourth smallest value? (a) t (b) 0.3 (c) -0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1807\/139*(-1)\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose t = 3*u + u + 16. Let i(v) be the third derivative of -v**5\/60 - v**4\/6 - 2*v**3\/3 - v**2. Give i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -1440 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 19. Let s = z - -29. Is s <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 164. Let l(v) be the second derivative of 0*v**3 + 5\/12*v**4 + 0*v**5 + 0*v**2 + 0 - 1\/10*v**t + 3*v. Find the third derivative of l(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*4\/(-6). Let c(p) be the third derivative of 1\/24*p**4 + 0*p - x*p**3 + 0 + 2*p**2. Differentiate c(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -14 + 32 - -34 - 19\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1005507 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -9) + 3 + -3 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-7))\/n)\/n)\/n**(-5))**36 assuming n is positive.\nAnswer: n**396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155778 is divided by 72599.\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 22 + 10. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89792.56nm?\nAnswer: 0.008979256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + u**5 - 2*u**3 + (78*u**2 - 46 + 46)*(-6*u**3 + u**3 + u**3).\nAnswer: -311*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2946 - -2946.3674. Let k = 0.0636 + c. Let h = k + 0.045. What is h rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 214*t**2 + 422*t + 470. What is i(212)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 30.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose 2*r - 3*q - 4524 = 104, 0 = -2*r - a*q + 4644. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5969925675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 82541881, 165083763, 247625645?\n\"Answer: 82541882*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -32, 0, -1, -2, -12 in descending order.\nAnswer: 2, 1, 0, -1, -2, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4838228 is divided by 1534?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31141.\nAnswer: 11, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - 55440?\nAnswer: -55461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65113 - 109957. Let a = -4484301\/100 - w. Find the common denominator of 51\/2 and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + z + 4*z + 96 = -0*z, -81*h + 34*z = 29*z - 404 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 21 - 8. Suppose -6867 = 10*w - h*w + 4*z, 0 = 2*w + 2*z - 4592. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4706 (base 14) to base 2.\nAnswer: -11000001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a1 (base 16) in base 5?\nAnswer: -12204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 5762\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - 7272?\nAnswer: -7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8\/109, -34 in ascending order.\nAnswer: -34, 8\/109, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: debbfc (base 16) to base 8\nAnswer: 67535774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + g**4 + 0)*(19 - 1250*g + 621*g + 625*g).\nAnswer: -4*g**5 + 19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-2)\/6)\/((-14)\/105).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -807*w**2 - 1016*w - 6. Let z(m) = -539*m**2 - 677*m - 4. Let u(i) = 5*j(i) - 8*z(i). Find the second derivative of u(c) wrt c.\nAnswer: 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((7 + -6)*-1). Solve -p - c - 1\/4*c**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 25 = -3*m, -2*m + 4*c - 22 = 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:49 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, and 1 p when three letters picked without replacement from fyferwpr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -5 (b) 17 (c) -0.5 (d) -0.1 (e) 0.013 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10075278 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203 = -5*l + 17. Calculate the highest common divisor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*j*w - 349*j*y**3 - 6*j - 60*w*y**2 + 6*w - 10 with respect to y.\nAnswer: -1047*j*y**2 - 120*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322821346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 16*v + 82 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 2. Let k(v) = v**2 - v + 1. Let q(u) = 2*k(u) + p(u). Let w(y) = -6*y**2. What is w(q(x))?\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -505, 18\/109, 2?\nAnswer: 18\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 + 81*u + 2. Let j be n(11). Let x be 60\/j*(2 + -7). Solve 2*m = x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfr when three letters picked without replacement from ffqrffsqsqnqqffqfff.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2451207 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -7*w + 1242. Suppose 0 = -26*n + w + 94. Calculate the remainder when 82 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3\/180982?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u. Let k(j) be the first derivative of -j**4\/4 - 27*j - 2161. Calculate k(u).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -32*v**2 + 74*v**2 - 39*v**2. Let s(u) = u**2 + u. Let g(o) = 5*o**2 + 6*o. Let m(r) = g(r) - 6*s(r). Calculate i(m(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131658*i**3 - 331*i - 41 wrt i.\nAnswer: -789948*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59925\/(-3196) - (-18)\/1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/363, 7.8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 310296 + b3?\nAnswer: 310359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*b - 2, 2*b = 2*s - 7*s + 5. Let v = 4 - s. Solve 2*o = y, -v*y = 2*y - 5*o + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 2*t**2 + 6*t + 5. Let h be -1*(-12)\/10*(-10)\/(-3). Suppose -24*v + h = -25*v. Give f(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 214*p - 220*p + 14 + 0 - 1. Let n be r(1). Calculate the greatest common divisor of n and 224.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 80506050*k**3 + 2*k + 153838611.\nAnswer: 241518150*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 814 - 790. Which is smaller: g or 49\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfek when four letters picked without replacement from {s: 3, e: 1, f: 2, k: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 1 + 1 + (-5*l**2 - l**2 + 2*l**2)*(-2*l**2 - 3*l**2 + l**2) + (2 - 2 - l**3)*(-2*l - 4*l + 5*l).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppplippqllfpr. What is prob of sequence lif?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 45 - 9)*(21 - 52 + 25)*(-2 + 0 + 0)*(-2 + 2*y**2 + 2) to x*y**2 + g*y + k and give x.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 9. Suppose 3*n - 4*x - 211 = 0, -143 = -2*n + 7*x - 2*x. Suppose f + c = -3*f + n, -3*c + 9 = f. List the prime factors of i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 2*m + 2. Let y be c(-1). Let s(d) = d**2 - d + 1. Let t(u) = -3*u**3 + 5*u**2 - 5*u + 5. What is y*t(a) + 10*s(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - a + 44 = 0, -3*a - a - 4 = 2*u. Let t = u - 21. Let j = t - -46. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 86 + 198. Calculate the remainder when l is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1081*p**3 + 189*p**3 - 5093*p**3.\nAnswer: -3823*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 2*m**2 - 4*m + 2. Suppose 0 = 4*f + 4*o - 84, -f + 5*o = -10 - 11. Let i be (12\/f)\/((-4)\/(-14)). List the prime factors of r(i).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q. Let w(d) = -2*d - 5. Let m(z) = -3*z - 7. Let u(p) = -p - 1. Let b be u(-8). Let a(y) = b*w(y) - 5*m(y). What is 2*a(s) - v(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 364874 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - -121881?\nAnswer: 121981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147.276 - 590087.276. Let o = u + 589940.0699981. Let w = -0.07 + o. Round w to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/3*s - 8 + 14\/3*s**2 - 2\/3*s**3 = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 3\/5, -0.0719, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100964443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152346 divided by -598.\nAnswer: 1927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 510 - 245. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2\/11, -3\/5, 1\/4, 0.9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*b*s**3 + 2*b*s - 49*s**3 wrt b?\nAnswer: -33*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10a7705 (base 13) to base 10\nAnswer: 5128986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1)*2\/(-3). Let d(g) = -h*g + 2*g**2 - 3*g**2 - 2 - 3*g**2 + 5*g**2. Let a(s) = -3*s**2 + 0*s + 8*s - s + 7. Calculate -2*a(k) - 7*d(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 + 1763*w**4 - 21227*w**3 - 433634*w**2 - 410640*w = 0. What is w?\nAnswer: -10, -1, 0, 24, 1711\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 15. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, i: 1, k: 2, d: 3, n: 3}. Give prob of sequence ndi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 320 = -6*o. Is 33 a factor of 4*15\/o - (-525)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -18. Let o = -17 - -68. Let z = o - 54. What is the third smallest value in z, 1\/2, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -29. Let b(f) = f - 1. Let d(x) = -2*x**2 - 19*x + 179. Let t be d(-16). Determine t*b(w) + i(w).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2030)\/17052*35\/24 and -1\/10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Sort 55, 5, t, -3.\nAnswer: t, -3, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 2393*q**4 + 6427*q**2 wrt q?\nAnswer: -120*q**2 + 57432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -393271*n**2*r**3 + 18*n**2*r + 3*n*r**2 + 132*r**6 + 30*r**2 - 9388*r wrt r?\nAnswer: -2359626*n**2 + 15840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:18 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 + 15732*o + 2180538.\nAnswer: -(o - 31602)*(o + 138)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258144295*p**2 - 99792*p + 812?\nAnswer: 516288590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.1, 5\/3, -2, 5.\nAnswer: -2, -0.1, 5\/3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n**3 - 17*n**2 - 11*n - 15. Let f(j) = 7*j**3 - 8*j**2 - 5*j - 7. Let l(u) = -13*f(u) + 6*r(u). Give l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.1 + -4.1. Let k = -6053965469 - -6053965505.00000057. Let t = p - k. Round t to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.018825 or 158?\nAnswer: 0.018825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 149 = 5*b, 2*b = b + 1. Let y = 40 - k. Differentiate -10 - 28 + 6 + 4*h**4 + 7*h**y wrt h.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 3.6. Let o = -266 + 287.2. Let h = o + 2.8. Is h bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 71 and -0.1.\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23 and -0.41.\nAnswer: -23.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 9*c**2 - 10*c - 3. Let d be r(10). Let g = -1 - d. Sort 0, -2, g in decreasing order.\nAnswer: g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -15 + 7. Let n(q) = 2*q**2 - 61*q + 14. Let o be n(30). Which is greater: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -5 (c) 0.04 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*p + 35*p - p**3 + 7 - 58*p**4 + 2*p**2 + 57*p**4 to the form m*p + w + g*p**4 + f*p**2 + l*p**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55*44\/(-40))\/(3\/246) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j + 28. Suppose 366*n + 1062 = 248*n. Determine x(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13432 divided by 23?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.6, 31, -3.9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809599 less than 7196612?\nAnswer: 9006211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -61*j - 74. Calculate a(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03172 take away -161313606?\nAnswer: 161313606.03172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -263*k*o + 231*k + 3*o**4 + 2*o**2 + 5 wrt o?\nAnswer: -263*k + 12*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {m: 11, t: 2, a: 3, b: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7698 or 7699?\nAnswer: 7698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.76 (b) 2 (c) 2\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -12) + (-46)\/7. Let i = -5.1 - -7. Let f = -0.1 - i. What is the third smallest value in -4, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 + 68*h**2 + 22*h + 15. Calculate j(-13).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 51. Let b(u) = 4*u - 1. Let l be b(1). Suppose x - q = -l*c, x = c - 6*c + 47. Solve -3*g - 12 = g - 4*v, 3*v - c = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/672016 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let y be o(1). Solve -3*w = 3*i + y, 0*i + 1 = -5*w - i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 9 - 4 + 0*o**3 + 3 - 2*o + 2*o**3 to r + n*o**3 + f*o + m*o**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 732 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10 + 1 + 7\/2. Find m such that -9604 + 33*m**3 + 27*m**4 - 15092*m - 1321*m**3 - 4*m**u - 6664*m**2 - 143*m**4 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222435832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 871061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*w**2 + 2078*n**3*w - 2*n**3 - 956*n*w**4 wrt w?\nAnswer: 4*n**3 - 11472*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 4*g)*(2*g**4 + 0*g**3 + 0*g**3) + (3*g**4 + 2*g**4 - 3*g**4)*(0*g - 5*g - 3*g) - 3*g**3 - g**5 + 3*g**3.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2765*a**2 + 2470*a + 5*a**3 + 12*a + 2764*a**2 to the form c + k*a**3 + v*a + f*a**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + o**2 - 47718*o**3 - 18*o + 47715*o**3 - 9 in the form r*o + d + l*o**2 + j*o**3 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1618 + 3671. Suppose -i = -2*j + 4106, j + 4*i - k = 6*i. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**2\/2 + 135*b + 267\/2 = 0?\nAnswer: -89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 627810063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s*y**3 + 2*s*y**2 + 185*y**3 wrt s.\nAnswer: 8*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 + 264. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12)\/(10\/32). Is 2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bblyllllllylylyb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(8\/5))\/((-2)\/8). Suppose 0 = v*t + y - 322, 3*t - 2*y - 30 = 158. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 741 = -6*n. Calculate the remainder when n is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 992, 8370, 28696, 68540, 134472?\nAnswer: 233062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (135\/72)\/(-3) - -1\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3887\/376 + 84\/47. Calculate the common denominator of f and ((-1698)\/4)\/(-101 + 221) + 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q + 2*q)*((q**3 - q**2 + q**2)*(-1 + 1 - 2*q) - 15*q**4 + 7*q**4 + 20*q**4 + 0*q**4 - 3*q**4 + q**4).\nAnswer: -16*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 18499782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**4\/16 - 13*r**3\/12 - 43*r**2\/4 - 18*r + 2999. Factor c(i).\nAnswer: (i - 18)*(i + 1)*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 6*j**2 - 3*j - 1. Suppose -5*o = 5*w - 10, -4*o = w - 8*o - 7. Suppose 0*t + 4*l + 5 = -3*t, -w*t - 2*l = 7. What is k(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 410.\nAnswer: 410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -10, -5 in decreasing order.\nAnswer: 15, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 5)\/((-2)\/1024). What is the units digit of (-2)\/(t\/(-508) - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.490891 kilometers?\nAnswer: 490891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 102. Let y be (1 + 5\/r)*(-210)\/35. Solve 5*a + 3*h + 5 = 17, -3*a - h + y = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23835 and 3435600?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 + -10)*(-15)\/150)\/1 - -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2668800, 5337687, 8006574, 10675461, 13344348, 16013235?\nAnswer: 18682122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158*t**2*u**4 + 71*t**2 + 6*t + u**4 wrt u.\nAnswer: 632*t**2*u**3 + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*d**2*w**3*y**2 - 13842*d**2*w**2*y**2 + 13*d*w**3 + 2*w**2 + w*y**2 wrt w?\nAnswer: -198*d**2*y**2 + 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose f + a*f - 4 = 0. Suppose 5*u = f*o + 98, -5*u - 6*o + o = -125. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/5)\/((-10)\/(-75)). Let q be (-2)\/p + ((-125)\/20 - -6). Which is the third biggest value? (a) 0.1 (b) -1 (c) -3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 9*q - 24 = 0. Suppose -5*f = -2*u + q*u - 14, -u - 2*f = -8. Suppose u*v + 20 = 16*v. Solve -15 + v = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2314.\nAnswer: 2, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = u - 24. Let n = 72 - u. Suppose n*h = 16*h + 68. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/40 - 7*p**4\/8 + 49*p**3\/4 - 37*p**2\/2 - 36*p. Let v(a) be the first derivative of j(a). Factor v(l).\nAnswer: 3*(l - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + x - 10*v - 170 = -2*x, 86*v = 89*v + 57 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2. Let x(a) be the third derivative of -a**4\/24 - a**3\/3 + 2*a**2. Let g(c) = -2*d(c) + 2*x(c). Let r(k) = 4*k. Give g(r(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millennium in years?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -3, -2, 334, -1 in descending order.\nAnswer: 334, 64, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7915961.\nAnswer: 173, 45757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82957160 or -82957159?\nAnswer: -82957160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 28, 2*l = -3*l - 3*s + 1156. Calculate the remainder when l is divided by (93\/(-5) - -3)\/((-4)\/10).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 - -0.01. Let b = -0.1 - u. Let g = -1 - -0.8. Is g > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -309, -1121, -2417, -4173, -6365, -8969, -11961?\n\"Answer: 4*h**3 - 266*h**2 - 42*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -422. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 7*s + 6. Let o(w) = -2*w**3 - w**2 + w. Suppose -2*p - 6 = -2. What is the remainder when f(4) is divided by o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -61. Let w = 278.5 - 279. Suppose 2*z + 2*z = -8. Which is the nearest to -1\/3? (a) z (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 + u**2 + 2*u - 1. Is a(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {f: 4, m: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -91750 at most as big as -91756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2136, -4318, -6596, -9018, -11632?\n\"Answer: -8*v**3 - 2126*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7539 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2243085 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 16*i + 15. Let f be o(-15). Suppose f = 4*z + 5*u - 1423, 4*z - 2075 = 4*u - 679. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/4 + 297*v + 595 = 0. What is v?\nAnswer: -2, 1190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8000)\/(-3)*(758 + -8). Suppose 0 = 9*g - g - p. Round g to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9711 a factor of 624331457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.88 + 75.88. Let n = q + -72.00273. Round n to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-1 + -20) - 11 - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(20\/15)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -298*q + 301*q + 22, -3*p - 2*q = -22. Solve -p + 30 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 414395.69 + -22628.\nAnswer: 391767.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169714?\nAnswer: 2, 3, 53, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.085 (c) -5 (d) 1.864 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-440))\/((-32)\/2880*(-6)\/(-2)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -11)*2 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -871*q**4 - 4006*q**2 - 9565302*q wrt q?\nAnswer: -10452*q**2 - 8012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**8\/1680 - t**6\/90 + t**3\/6 + 2*t. Let v(n) be the second derivative of k(n). What is the third derivative of v(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymebg. Give prob of sequence bey.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/32 and (-7734)\/(-936) - (-2)\/13?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 309766484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.44 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/5)*j*j*j)**(-4\/39)*(j\/(j*j\/j**1))**(-16))**(-34))**(-1\/34) assuming j is positive.\nAnswer: j**(-68\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(10 + 2107\/(-210)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:00 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from vndmdbndmndnnvyvnnbn.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 232.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547322 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/4 + 31*b**3\/4 + 2388*b**2 - 2439*b - 14364 = 0. What is b?\nAnswer: -84, -2, 3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*s + 462*s = 12. Let a(i) = -7*i**3 + 6. Let c(k) be the second derivative of -13*k**5\/20 + 11*k**2\/2 + 2*k. Give s*c(g) - 11*a(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 94. Let v(i) = -i + 10. Let c be v(6). Suppose -2*t = -0*t - 10, 5*n - 40 = c*t. What is the greatest common divisor of l and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 398\/63113?\nAnswer: 398\/63113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000487971 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 211007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 357085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qotti. Give prob of picking 1 o and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*y - 1, -3*y + 15 + 6 = -2*b. Let w be y + -4*15\/(-10). Let g(c) = -c**2 + 11*c - 7. Give g(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 1829, 4118, 7321, 11438?\nAnswer: 16469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzn when three letters picked without replacement from {z: 4, n: 15}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -18, -30, -46?\n\"Answer: -2*r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 6:11 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229960 - 284.\nAnswer: -230244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7314814.\nAnswer: 2, 13, 281339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 31018944?\nAnswer: 31018956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 115, -764, -2401, -5048, -8957, -14380?\nAnswer: -21569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*2\/(-7 + 3). Let p be 0\/((-3 - 0) + q). Solve 0*v - 4*v = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m + 2*m - 3*g, -5*g - 30 = 5*m. Let j(k) = k**3 + 9*k**2 + 8*k + 3. Let u be j(m). Suppose -3*r = -4*t, 0*r - 4*t = r. Solve -l - u*l = r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5155 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g = 69*g + 36. What are the prime factors of ((-3)\/g + 0)\/((-4)\/(-904))?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 5*x**2 + 46*x - 456. Determine r(8).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/40 - ((-3692)\/195 + 13)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -111214?\nAnswer: 111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3931.\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) 8 (c) -458\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 21*u - 9*u. Let h be 14 + 1*-1 + (u - 72). Solve -y + h = 2*w + 2*w, -4*y - 5*w + 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54833, 54830, 54827, 54824, 54821?\nAnswer: 54818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2. Let p(d) = -3*d - 9*d + 6*d + 5*d + 0*d. Let b(k) = -4*k. Let w(a) = -2*b(a) + 9*p(a). Determine w(h(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let u(l) = -l - 555. Give u(k(z)).\nAnswer: z**2 - 555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16\/7 (b) -5 (c) -1343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 1102 = 13*m. Suppose -v - 2137 = -4*h, 5*h - 1109 = 2*v + 1566. Calculate the highest common factor of m and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*g - 5, 4*h + 12 - 14 = 2*g. Which is the second smallest value? (a) 2\/13 (b) -1\/5 (c) -2 (d) -2\/17 (e) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 32*x**2 + 292*x + 35. Let u be m(-9). Which is smaller: -2\/63549 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -18 + 15 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48163 + 48184. What is the smallest common multiple of y and 6\/(-4) + 129\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68475*t**2 - 42637*t wrt t?\nAnswer: -136950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 42*f - 331. Let j be t(-30). Let y(l) = 7*l - 4. Let x be y(5). Let q = x - j. Solve 0 = 2*b - 2*i + q, 6 = -2*b + i + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 5*w + 16. Let f be s(7). Let o(b) = 4*b**3 + b**2 - b + 4. Does 15 divide o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1333, 2639, 3947, 5257, 6569, 7883, 9199?\nAnswer: 10517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2)*(-8)\/(-8))\/(4\/8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 - -0.02. What is the closest to 3\/2 in q, 0, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 - 7*s + 24. Let x be u(6). Calculate the greatest common divisor of x and 2214.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 + 6 + 2*p**3 - 2*p - 3*p - 1. Let s(k) = -3*k**3 - 4*k**2 + 7*k - 7. Let x be 208\/(-39) + 2\/6. What is x*s(d) - 7*i(d)?\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8492452, -8492465, -8492490, -8492533, -8492600, -8492697, -8492830?\nAnswer: -8493005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112350 (base 7) to base 6.\nAnswer: -232540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/6615 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/8 - 7*x\/4 + 13\/8 = 0. What is x?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/360 - s**3\/2 + 3*s**2. Let h(c) be the first derivative of v(c). Factor h(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.32 + 0.32. Let m = -0.083834896 + -26.916159604. Let d = h - m. What is d rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4400 and -109\/1180.\nAnswer: 259600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 282951?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (1*sqrt(396) + 5))**2 - (4 + (0 + sqrt(396))**2))*-3 - (((sqrt(539)*2*6 - sqrt(539))*4)**2 + 3).\nAnswer: -1042382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqs when four letters picked without replacement from qqqqdqsssqqdqs?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -14*k + 2020 - 1750, 0 = -s + 4*k - 77 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -763*n**6 - n**4 - 5*n**2 + 52 wrt n.\nAnswer: -91560*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49217223, 98434453, 147651685, 196868919?\n\"Answer: j**2 + 49217227*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 5*u + u)*(2*u**3 + 0*u**2 + 0*u**2)*(0*u - 2*u - u).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 3*r = -256, 2*r - 320 = -5*w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from ethhth.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert 22100 (base 3) to base 5.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 25 = -5*c, 3*t + 22 = 7. Let r(p) be the second derivative of 17*p + 0*p**3 + 0 + 1\/6*p**4 + 0*p**c. Let w(v) = 30*v. Determine r(w(u)).\nAnswer: 1800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + 32?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 51af?\nAnswer: 51b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 245, 799, 1877, 3653, 6301?\nAnswer: 9995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let c be 160\/3 - 2\/z. Suppose s + 5 = c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-16))\/(1\/1). Let d = -6 + 5.6. Let k = 2.86776 - -0.13224. What is the closest to 2\/7 in m, d, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 5. Let q = -112 - -101. Let w(i) = -5*i - 15. What is q*r(h) - 4*w(h)?\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234233168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 - -339. Let s = q - 71. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404960.\nAnswer: 2, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g + 2*a - 540018, -675023 = -5*g - 2*a. Suppose -g = -3*v - w, w + 5 = 2*w. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5 - 195*c**4 + 4350*c**3 - 35910*c**2 + 59535*c - 27783 = 0. What is c?\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2432671, -4865348, -7298025, -9730702, -12163379?\nAnswer: -14596056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 + 0.45. Let t = o - 0.50025. What is t rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.07 - -1.19. Let f = y + 1.98. What is the biggest value in 1\/6, 1, 15, f?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 187982 - 187983 = y, 2*y = -72*w - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + sqrt(17))**2 + 0) + 4 - (sqrt(51)\/(sqrt(3) + sqrt(12)) - (sqrt(17) - 6*(sqrt(17) + sqrt(833))**2)).\nAnswer: -6560 - 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1091848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 78 = 8. Suppose -2*d + 187*t - 185*t + 556 = 0, 4*t = -4*d + 1160. Calculate the least common multiple of d and o.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206951608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15973125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**(-2\/7))\/g)*g**(-1\/2))\/(g**(1\/7)*g**3))\/((g*g**0*g)**(-20))**(-9\/7) assuming g is positive.\nAnswer: g**(-761\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h - 4*s + 42776, -h - 3*s + 10690 = 0. Suppose 17*w = -496 + h. Is w a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 39*l\/5 + 74\/5.\nAnswer: (l - 37)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/15 - g**4\/3 + 2*g**3\/3 - 19*g**2. Let i(h) = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -104, -233, -414, -647?\n\"Answer: -26*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -1179\/412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 9 (c) -2 (d) -20 (e) 0.1 (f) 6\/11 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 10472*g**2 + 1162*g**2 - 325*g**2 - 3*g as z*g + q*g**2 + c and give q.\nAnswer: -9635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4 - 1.6. What is the fourth biggest value in k, -13, -5, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211789105.\nAnswer: 5, 11, 19, 389, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*q = 139*q - 148657. Is q a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*p - 32 = -50, -2*z - 3*p + 9 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 20 = 3*k. Let j be ((-6)\/126*-12)\/(k\/14). Let c be (-6)\/(-4)*-1*(-4 + j). Solve -3*t - 5*i + 18 = 0, t = c*i - 6 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -24.8. Let t = m - 0.2. Let y be -5 + (282\/21 - 2) - 6. Put t, y, 1\/5 in descending order.\nAnswer: t, y, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1836)\/945 + -1 + 3. Let s = w - 13\/105. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/27*4\/(-230)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/4, 4\/9, -1\/15, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 277873, 277871, 277869, 277867, 277865?\n\"Answer: -2*g + 277875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 3.\nAnswer: -190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d + 2*r, -3*d = -0*r + 3*r - 6. Sort 6, 0, -4, d in descending order.\nAnswer: 6, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*g + 22, 2*h + 5 = 3*g - 34. What is the tens digit of (56\/h - (-2)\/3) + 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 0 + (5 - (-6 - -2))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**3 + 31*n**2 - 82*n + 7. Calculate d(3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(-9) - 160\/(-6) is divided by 399\/42 - (-2)\/4*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*o**4 - 9*o + 8*o**4 + 3*o wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710*u = 749*u + 3705. Sort -0.3, 0.5, u, -0.2.\nAnswer: u, -0.3, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from nnnafgcn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -325815 divided by 4?\nAnswer: -325815\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*v - 58527 + 14221 - 166147 = 0. Put 4, v, -0.1, 4\/3 in descending order.\nAnswer: v, 4, 4\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2556513100 to the nearest one million.\nAnswer: -2557000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 6. Let c = 22 + -28. Let b(l) = -l + 1. Let i(a) = c*b(a) - o(a). Let q(t) = -t. What is q(i(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1005, 5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9754964?\nAnswer: 2, 571, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3944 and 2436?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 4164985?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*q**2 + 1266*q - 444768 wrt q.\nAnswer: 292*q + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*i + 90*i**3 + i**2 + 0*i**2 + 8*i - 16*i**3 wrt i.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36602915939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136421 (base 8) to base 5.\nAnswer: -3022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2754504)\/670)\/571)\/(2\/5*(-2)\/(-2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (6923 + 7)\/11 + -2 and 6?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 - 2*s**3 + s**3 - 6*s**3 + 42*s**3 - 17*s**3 + (3 - 2*s - 3)*(-s**2 + s**2 + s**2) + (-2 + 4 - 1)*(-2*s**2 + 2*s**2 + 3*s**3).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4082 = 3*x, -4*x = -q - 2144 - 3301. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxibhlww. What is prob of sequence hxl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1412322?\nAnswer: 1412323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 193*v**3 - 81. Let m(j) = -129*j**3 + 54. Let q(i) = -5*g(i) - 8*m(i). Differentiate q(w) with respect to w.\nAnswer: 201*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 136 + -74. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 439841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/2)\/(2\/(-22)). Let f be 0 - ((5 - 4) + v). What is the second derivative of f*m + m**3 - 25 + 25 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) -2 (b) 2 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 44*z**2 + z - 3. Is i(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w\/(w\/(w\/(w**(-2\/9)*w)*w*w)))**43*(w**(-1))**(2\/19)\/(w\/((w**(-2)\/w)\/w)*w)**17 assuming w is positive.\nAnswer: w**(11135\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 30\/4*(-56)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -928696194, -928696195, -928696196, -928696197?\n\"Answer: -g - 928696193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {a: 11, c: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/60 + (-35)\/(-75).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569, 575, 581?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 292*s + 10974. Give o(-31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 27\/2*p**2 - 2*p**4 + 11\/3*p**3 + 1\/20*p**5 - 20*p + 0. Let a be v(23). Solve 2*y + 20 = -5*k + 7*y, -16 = 3*k - a*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23316 = -66*f + 60*f. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -j. Let o(w) = 2 - 4 + 12 + 4*w - 18 + w**2. Let t be o(j). Which is the biggest value? (a) t (b) 3\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -23 (c) 40 (d) -1\/3 (e) 83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -140 + 3*v**3 + 925 - 4*v**3 + 2*v**3 - v. Let i = 195 - 195. Is a(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 0.5, -5\/11, -8\/207?\nAnswer: -8\/207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -131*o - 396. Let r be f(5). Let v = r - -1908. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518901.\nAnswer: 3, 269, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8034\/(-17304) + (75\/(-630) - 5\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 (base 11) in base 7?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose -3 = -j*c + 3, -3*t + 30 = c. Calculate the smallest common multiple of t and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 75*f**2 - 4*f + 4. Let u(t) = t - 13. Let o be u(14). Calculate the remainder when b(o) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n - 31 + 126 = 2*s - 17, 4*n + 3*s = 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*m - 481763 + 108755 = 0, -z + 93254 = -m. Round z to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 18*f**3 + 4*f**2 + 1 - 12*f**3 - f. Is d(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let f(i) = 54551*i. What is u(f(j))?\nAnswer: -109102*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -263.3 * -0.3\nAnswer: 78.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -44925 divided by -1?\nAnswer: 44925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/41673616 and -59\/22.\nAnswer: 458409776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2364395?\nAnswer: 5, 11, 42989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**8\/14 + 13*l**4\/24 - 5*l**2 - 24*l. Let h(d) be the first derivative of b(d). Find the second derivative of h(m) wrt m.\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1474*t**3 - 1. Let h be x(-1). Let s = -214 - h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -18. Let d be 8\/(q + 8\/4). Factor 0 + 2\/11*j**3 + 2\/11*j**d - 2\/11*j**5 + 0*j - 2\/11*j**2.\nAnswer: -2*j**2*(j - 1)**2*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 3. Let g be (2\/3)\/(11\/66). Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -26 (c) -6 (d) -2 (e) 3 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32480138333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1397994*r**6 - 1145582*r**2 + 7*r wrt r?\nAnswer: 167759280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/(-32) + 1183\/540 and -149\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = 3*y, 0 = -0*y - 4*y + 16. Let k(i) = -2*i**2 + f - 2 - 1. Let u(a) = -3*a. Calculate u(k(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 - (4 - (0 + 7)). Let l be -3 + q\/(-20)*5. Let c = 7 + -3. Solve z + 2*w = 3*z - c, l = -z + 5*w + 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84731, -171117, -257503, -343889?\nAnswer: -430275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 31, 753?\nAnswer: 753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 27*b + 108 = 0. Suppose 518 = 2*t - b. What are the prime factors of t?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9 + 2 + -17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 25 = 28*f. What is the third derivative of -10*k**2 - f*k**5 + 4*k**5 + 3*k**5 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9)\/f*f**(-4\/3) assuming f is positive.\nAnswer: f**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 13756240*r + 11827133683600.\nAnswer: 4*(r - 1719530)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 4*h + 4)*(-4 + 1 + 2) + 9*h + 13*h + 16*h)*(0 + 1 + 2 + h)*(-2*h**2 + 4*h**2 + 2*h**2) in the form q*h**2 + g*h + j*h**3 + w + v*h**4 and give j.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 145\/(-55))\/(62\/(-341)). Let u = -15 + 9. Let x = u + 8. Which is the smallest value? (a) x (b) n (c) 0.2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41 + 10 + 43 + i - 485*i**2 + 24 + 72 wrt i?\nAnswer: -970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l)*(-13 + 61 + 8 + l).\nAnswer: l**2 + 56*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137468 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 3*x - 3. Suppose 0 = -0*f - 2*f - 10. Let j be c(f). Solve -2*k + j = -3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 - 6*o + 1. Let h be g(4). Let a be -1 - 0\/2 - h. Suppose 5*j = 4*v + 37 + 71, j = v + a. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(10\/60).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1280 - -1279. Is -7\/230 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(5*y - 1 + 1)*(67*y - 32*y + 33*y).\nAnswer: 340*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -18.07. Let u = -0.93 - k. What is the smallest value in u, 3, -2\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 866 - 325. Let q = v + -538. Calculate the greatest common divisor of 69 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**2 + 3*d + 2*d**2 + 5*d wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-5)\/7. Let l = 0.168 - -36.332. Let w = l + -36. What is the smallest value in -2\/7, x, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.384 in 2, -19, -0.477?\nAnswer: -0.477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*f - 63095 = -70133 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -80*p - 14. Let s be w(-3). Let x = -2936\/13 + s. Which is the closest to 1? (a) -8 (b) x (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -531?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 - 4 = 0. What is the units digit of ((-48)\/30)\/(p\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3159)*3 + sqrt(3159))\/(sqrt(300)*2 - sqrt(300))*-4.\nAnswer: -288*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -16. Do c and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0506 - 0.1379. Let b = a - 0.0127. Do 200\/7 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2 + 2*x. Let f(i) be the third derivative of -i**5\/5 - 7*i**4\/24 - 14*i**2. Let b(d) = -2*f(d) - 7*s(d). Let z(p) = -3*p. Calculate z(b(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7429 to 2 dps.\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:29 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7066 (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28 - -18)\/(2\/(-17)). Let k(a) = -4*a. Let s be k(-1). Suppose o + s*o = i + j, 2*o = -4*i + 56. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72646873?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661*j = 667*j - 966. What is the remainder when j is divided by 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2. Let k(g) = 2*g**3 + 3*g**2 + 5*g. Let c(b) = -2*k(b) - 6*l(b). Let a(q) = 2*q**3 - 11*q. Determine -5*a(v) + 6*c(v).\nAnswer: 2*v**3 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/3 in -6\/5363, -2\/13, 8, 2\/3, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, j: 1, t: 5, i: 6}. What is prob of sequence txj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x = 3*g - 16*x + 442, -2*x = g + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -778938 (base 10) to base 9.\nAnswer: -1416446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennddnndde. Give prob of picking 2 e and 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6)\/(r\/(r**(-3)*r)))\/(r*r*r\/(r\/(r*r*r**(-6\/11)*r))*(r\/r**(15\/4))\/r*r) assuming r is positive.\nAnswer: r**(101\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58446277.\nAnswer: 71, 359, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 4 + 3)\/((-1)\/10*6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/21, 1\/6, 4, 1.3, -3?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 15*q**2 - 13*q - 11. Let h be x(14). Sort -1, 10, h, -8.\nAnswer: -8, -1, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u + 2 + 0 + 18*u in the form s*u + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 525 and 355425?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3620)\/3620)\/((-1)\/(-55)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3906025 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 - z**3 + 4*z**3)*(-2*z + 4*z - z) to q + a*z**4 + l*z + b*z**3 + w*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -210 + 401. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 + 8*n - 7. What are the prime factors of r(-7)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-49975)\/(-75) - 21\/9 is divided by 297?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c)*(-7*c**2 + 37*c**2 + 7*c**2).\nAnswer: -74*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 3*l + 3. Let v be w(-3). Suppose 2*s + 4*p - 12 = -s, v*p = -5*s + 9. Solve s = 3*c + 3*u - 9, -c - c - 4*u + 12 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-92)\/(-552). Which is smaller: -33 or f?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(847) + sqrt(847) + -2 + (sqrt(847) - (0 + sqrt(847))) + -2)**2.\nAnswer: -264*sqrt(7) + 7639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2767 + 2697. Let q = -1653685.9973 + 1653616. Let f = s - q. What is f rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3 + 8037*b**2 + 3308604*b = 0. Calculate b.\nAnswer: -2171, -508, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 96*n - 96*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8466?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or 329\/5?\nAnswer: 329\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -819*q**3 + 1089*q**3 + 49 - 307 with respect to q.\nAnswer: 810*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21320221109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 13*z**2 - 2*z - 4. Let w(b) = -b**3 - 19*b**2 + 3*b + 6. Determine 7*a(m) + 5*w(m).\nAnswer: 2*m**3 - 4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -15. Suppose -2*l = -3*t - 1, 4*t + o = -4. Sort 1, -11, l in descending order.\nAnswer: 1, l, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d + 61. Let g be h(-15). Solve g = 2*m - 5*o, o = 4*m + 2*o + 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41406550.\nAnswer: 2, 5, 828131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -76. Let g(p) = -10*p - 43. What is the units digit of g(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/10 + 5709\/55.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 6 = 0. Calculate the common denominator of ((-351)\/96)\/(c\/(-8)) and 63\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 6}. What is prob of picking 4 y?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-38)\/133)\/((-8)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 110*v**2 + v + 43 + 108*v**2 - 2*v.\nAnswer: -2*v**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ossojssssosososssoso. Give prob of sequence joos.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2931*l + 2930*l + 2988*l - 10*l**2 - 8849*l.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**3 - 2*l**2 + 2*l + 2. Let s(p) be the first derivative of 5*p**4\/2 - 7*p**3\/3 + 7*p**2\/2 + 6*p + 190. Give 7*c(i) - 2*s(i).\nAnswer: i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74876 is divided by 24948?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 2.5. Let z = -12 + 9. Is y at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3806\/693 - (-6)\/21 - 4 and 32\/111.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 331, 1414, 3235, 5788, 9067, 13066?\n\"Answer: -b**3 + 375*b**2 - 35*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*i + 47*i + 735 + 177 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -218. Which is smaller: -0.3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-1 - 2\/(-4)). Suppose -4*y + n = y. Suppose l - 4*r = y, 3*l = 5*r + 55 + 42. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7406 + -4186. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3 - 183256*j**2 + 7*j + 4427289 with respect to j.\nAnswer: -6*j**2 - 366512*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + -10?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -23\/1385303?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 21*b - 73. Determine r(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1302 (base 4) to base 8\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.51, -2\/11, -1586\/3, -3, -0.4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -1) + (-2656)\/(-8). Suppose -5*o + f = 108. Calculate the greatest common factor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*m**3 + 4\/9 + 8\/9*m**2 - 10\/9*m = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 798*u - 18232. What is the units digit of f(90)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162654.87 rounded to the nearest one hundred?\nAnswer: 1162700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37485 and 39725.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*b = 2, -20088*b = 2*l - 20093*b - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*t - 5*d - 2, t + 9 = 4*d. Let o(s) = -7*s - 3 + 1 - 1 + 2. Give o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111211 (base 3) in base 13?\nAnswer: -121c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5510093719 rounded to the nearest one hundred thousand?\nAnswer: -5510100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*l - 0*d + 19, -1 = -d. Let z(b) = -5*b + 20. Let o be z(-9). Let f = o - 58. What is the greatest common divisor of f and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from bbbbdbixebwxbbbixb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w + 0*w + 2*w + (0 + 5 - 2)*(-2*w + 0*w + 3*w) - w + 4*w - 2*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 991 and -0.3.\nAnswer: -297.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 13*d - 10*d = -240 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 1\/2*x**2 + 2*x + 1. List the prime factors of c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81230134607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a + 10. Suppose -a*y - 29 = -2*k + 27, 56 = 2*k - 5*y. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*t + 5 - 1 - 28*t)*(0*t**2 + t**2 - 2*t**2) as a*t**3 + v*t + b + w*t**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, z: 11}. Give prob of picking 2 g and 1 z.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*i - 3. Let h be i\/(-2) - (-13437)\/(-2534). Let g = 16\/181 + h. What is the common denominator of -28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 - -463?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200944 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 + -15. Let r = 2537.3 - 2536.3. Suppose 0 = -5*w + 5, w + 5 = -3*u - 3*w. Which is the closest to r? (a) 3 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2226440259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17723 - 17729 + 35459 + 125*y.\nAnswer: 125*y + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 219831*h**3 - 659520*h**2.\nAnswer: 3*h**2*(h - 3)*(h + 73280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102498 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:12 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4440299 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 7) to base 4\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000062442 to seven decimal places.\nAnswer: 0.0000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*79893\nAnswer: -31957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 6*w - 6. Suppose 0*v = -3*v + 4*b + 9, 4*b = -2*v + 26. Let t(a) = 2*a + a**2 + 9*a + v - 2 + 1. Let j be t(-11). Determine n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 5*k = 2067. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 4:12 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -90.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 13. Let j(r) = -9 - 4*r + 20 + 5*r - 5. Calculate 9*j(b) + 4*k(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 54 - 18)*(0 - 4 + 70)*(h - 2*h + 3*h).\nAnswer: 1188*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49326921?\nAnswer: 3, 7, 31, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 859.7237 millennia?\nAnswer: 8597.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -938.2 + 939. Let m = 5.9 + 18.1. Let z = 22 - m. Which is the second biggest value? (a) u (b) z (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = -2*b + 3*b, 4*n = -b + 5. Is (1497\/(-3))\/b*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) -4\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 0.4 (b) -1174 (c) -1\/2 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4990520 or -4990521?\nAnswer: -4990520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 317939*d**2 + 322*d - 1922.\nAnswer: 635878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112*u**3 - 2*u**2 + 2*u**2 + 113*u**3 - u**4.\nAnswer: -u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = -2*q - 19*j + 37, 6*q - 132 = 4*j for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + 23. Let d(g) = 384*g + 36. Let r(q) = 107*q + 10. Let n(h) = 5*d(h) - 18*r(h). Calculate n(c(s)).\nAnswer: -42*s**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1309\/33 + 12\/9. Suppose 14 = 9*q + x. Let m = 1\/28 - -13\/28. Which is the nearest to m? (a) -0.1 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -37*c - 12. Let v(j) = 12*j + 4. Let a(w) = -4*s(w) - 14*v(w). Differentiate a(i) with respect to i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -3*i - w, 3*w = -i - 11. Let v = i - -2. Let k be (1 + 2\/(-3))\/((-33)\/(-18)). Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3\/3 - r**2\/2 + r. Suppose -5 = -h - 2. Calculate x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = o - 2. Is (18 - -11)\/((-2)\/o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 6\/30 + (-3)\/(30\/(-358))?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 - 27*u. Let z(y) = -16*y**2 - 82*y. What is 7*j(q) - 2*z(q)?\nAnswer: -3*q**2 - 25*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.02 and -0.4.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 489441327 divided by 15451?\nAnswer: 31677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -17. Calculate the greatest common divisor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 1487303?\nAnswer: -1487304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4261.7 + -4270.50208. Let q = -84 - -92.8. Let u = k + q. What is u rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 25, 43, 61, 79, 97?\n\"Answer: 18*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*((149 + 133 + 101)*(3*o - 4*o + 2*o) - 1 + 1 - 4*o + 6*o - 5*o + 0*o + (-3 + 5 - 1)*(-3*o + 3*o - 2*o) + 3 - 2*o - 3).\nAnswer: -376*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 471, 473, 475?\n\"Answer: 2*f + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -9. Is (5\/c)\/(1\/(-28)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**4 + 591*d**3 - 1077*d**2 - 306*d.\nAnswer: 3*d*(d - 2)*(d + 51)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -19*g - 28082. Let c = g - -6382. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027130767 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130 + (49 - (61 + 70))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/21 + 170*b**4\/21 - 650*b**3\/21 + 50*b**2\/7 + 324*b\/7 = 0 for b.\nAnswer: -1, 0, 2, 3, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22332264 (base 7) to base 2.\nAnswer: 111011001110101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -1\/4 (c) -0.2 (d) 2 (e) -1 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**7\/5040 + 11*x**6\/360 + 3*x**5\/20 + x**2. Let u(d) be the third derivative of k(d). What are the prime factors of u(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 207 - 158. What is the third derivative of 95*y**5 + 9*y**2 - 72*y**5 + a*y**2 wrt y?\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -280, -646, -1168, -1852?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 2*o**2 + 4*o + 1. Let x be -8 + 1 + 25\/5. Let l(z) = -z**3 - z**2 + z + 1. Determine x*l(q) + g(q).\nAnswer: 3*q**3 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37383921*a**2*c + 4*a*c + 2951*a - 100 wrt a?\nAnswer: -74767842*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8024 - -8028. Put 3, 2, 48, o in descending order.\nAnswer: 48, o, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 7*q + 8. Let p be i(1). Solve 2*k + 8 = p, -5 = -2*m + 5*k + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1 = c, 5*c - 277*t + 3 = -273*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)\/o)**(-40)\/(o*(o**4*o*o)\/o*o**(-4))*(o**2*o*o*o)**40*o**(-3)\/o*o*o*o**(2\/7) assuming o is positive.\nAnswer: o**(1094\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-one fifths of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 3:10 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10604 + -2185. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 - 52625*f\/3 - 210484\/3.\nAnswer: -(f + 4)*(f + 52621)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5 - 4) + -9 + -8\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.058087 and -0.24.\nAnswer: -0.181913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s - 303. Let d(o) = -2*o. Give 5*d(t) + u(t).\nAnswer: -2*t - 303","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-8))\/(2\/(-4)). Let b = 1412\/3 - 471. What is the nearest to -2 in b, 0.3, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/10, 3, -3, -2\/5, -2\/3 in ascending order.\nAnswer: -3, -13\/10, -2\/3, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (6 + (22 - (-7 + 18)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 142, 285, 428?\n\"Answer: 143*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 46. Let g be (-1)\/(1*(m\/21 - -2)). What is the third derivative of g*t**3 - 21*t**3 + t**2 - 8*t**2 - 13*t**2 wrt t?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 57*o**2 - 252*o.\nAnswer: -3*o*(o + 7)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - (-384)\/28. Suppose -m*x - 123 = -2545. Let a = 398 - x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 220 + -219.09. Let m = x - -0.09. Suppose 0 = 5*p - 15, 3*t + 2*p = -2*p + 15. Which is the nearest to m? (a) t (b) 0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from rtjrtttjjtttjt?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327728508.\nAnswer: 2, 3, 263, 103843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*s + 3 + 15 = 0, 0 = -2*u - 5*s + 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.82 + -0.18. Let x = 4 + n. Let j = -14 + 13. What is the closest to 2 in 1, x, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11045274.\nAnswer: 2, 3, 17, 108287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2870544473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - -221. Which is the closest to 0.2? (a) o (b) 36 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 288*t**3 + 302*t**3 + 256*t**3 + 0*t**2.\nAnswer: 846*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15599 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 529248 and 3136897?\nAnswer: 301142112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 168*x - 4186. Let z be o(53). Round z to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76130291\/510 - 149275. Calculate the common denominator of a and 50\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -206, 99.2, 0.2?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -5. Let x(i) = i**2 + 13*i - 4. Let j be x(-14). Let p = j + b. Calculate the least common multiple of p and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 29 = 3*r - 15, -3*k + 3*r = -18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007738731 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1111100?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -42\/11, 0.2, 2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/20)\/(1\/12). Suppose q*m - 5 = 58. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) - sqrt(2057)*2*-6) - (-1*((1 + sqrt(2057))**2 + sqrt(2057)) - -3*(-1 + sqrt(2057))**2).\nAnswer: -4116 + 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 0, 1 = -2*y + u + 10. What is the third derivative of -31*w**6 + 23*w**2 - 305*w**4 + 305*w**y wrt w?\nAnswer: -3720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 6\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 137. Let m be (-5)\/(-12) - (-1)\/(-6). Which is the closest to t? (a) 6 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 14) to base 8\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = -4*u, -6*u + u = 5*s. Let p(b) = -b**2 - 5*b. Let a be p(-4). Solve a*z = -2*d - 14, -s*z + 9*z + 16 = -3*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1322 = 2*q + 4*f, -344 = 2*q - 3*f - 1701. Calculate the greatest common factor of 61 and q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*f = 0, -5*f = -v + 2 + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2152490 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhha when four letters picked without replacement from hhhaxhxxahhhxa?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.8 + -13. Let x = -2.12 + z. Let n = 0.3199934 + x. Round n to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1010000100100101011011?\nAnswer: -1010000100100101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 5687, 764?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - -2.2. Which is the second smallest value? (a) s (b) 5 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -246*c**5 - 156*c**5 - 52*c**5 + (0*c**3 + c**3 + c**3)*(-c**2 - c**2 + 0*c**2).\nAnswer: -458*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -1\/3*g**3 + 0 + 2\/3*g**2 - 1\/3*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206408729 + 206408729 - 6159*w.\nAnswer: -6159*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(11\/5)*k**(-1\/11)\/k)**(-3\/44) assuming k is positive.\nAnswer: k**(-183\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-5 + 10 + -2)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmt when three letters picked without replacement from ctrmrrrt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1092610\/369 + -2961. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/2)\/h*h)\/h*h**(-3))**(-26) assuming h is positive.\nAnswer: h**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27555753 - 3?\nAnswer: 27555750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-10))\/(154\/43890). Solve 0 = -18*x + 33 + l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117 or -10\/3?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3102)\/4)\/11 + (-2)\/(-4). Let r be (u\/15 - -2)\/((-4)\/30). Which is greater: 22 or r?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 12*k**2 + 11*k - 4. Let q be j(-11). Let p = 4 - q. Solve 0*i = 4*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 283425162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*y + 73 - 272, -4*i - y = -176. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 - 10?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*((-1)\/(-9))\/(58\/174).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -9.3.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13899*u**3*w*x**3 - 122*u**3*x**3 - 1246*u**3 + 205*u*w*x + 5*u + w*x**3 - 4*x**2 wrt x?\nAnswer: -83394*u**3*w - 732*u**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y - 8. What is t(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, z: 1, n: 11}. What is prob of picking 1 n, 1 z, and 1 j?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.05, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + u**2 - 8 - 2*u + 0 + 2. Let x(c) = -c**3 - c**2 - 2*c - 1. Let b be x(-2). Is l(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-40))\/(2\/(-4)))\/(-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a202 (base 13) in base 5?\nAnswer: 10020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15*z**2 + 13*z**2 - 11 + 21 - 9.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2311 (base 4) to base 7.\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 83*f - 604. What is a(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 239522 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - 2. Let z = -53\/215 + 2\/43. Let f be -3 - (-3 - (-4)\/22). Put z, f, y in decreasing order.\nAnswer: y, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/1918855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71874 and 261684.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 13 = -2*i + 41, 0 = 5*i - 5*b - 90. What is the lowest common multiple of i and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10327 = -4*d + 5*w, -8817 + 1074 = -3*d + 3*w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 - 33. Solve -5*m + 0*m + 1 = w, r = 5*m + 3*w - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338919 is divided by 1177.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 8 - 4)*(-76*c**2 + 5*c**2 - 5*c**2) to the form p*c + g*c**2 + x and give g.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17527 - 38527. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508849?\nAnswer: 3, 7, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:55 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c0428 + 363?\nAnswer: c078b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*m*u**2 + 108*m*u + 5*m - 2*u**2 - 109907 wrt u?\nAnswer: -96*m*u + 108*m - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 15*t + 7*t**2 - 27*t**2.\nAnswer: -20*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a - 122*a - 2*a**2 + 87*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 144?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*-1*3\/12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13572 and 5568.\nAnswer: 217152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vay. What is prob of sequence avy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 * 0.0465\nAnswer: 0.01953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211352 is divided by 401409.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6204 and 1056?\nAnswer: 49632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*v = 3412 - 142 + 2824 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 d when four letters picked without replacement from {d: 8, s: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 21*g + 92. Let f be w(-5). What is the greatest common divisor of 426 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*a + a. Calculate the least common multiple of 4 - (7 - -2) - -8 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 11. Suppose 3*f + 20 = -4*m + 103, 4*m + 43 = 3*f. What is the least common multiple of (60\/f)\/((-4)\/(-14)) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-170))\/(42\/35). Let s = t - -97\/510. Let x = -10.4 - -10.6. What is the closest to s in -2, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3.918\nAnswer: 1.1754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 35. Let u be (32\/v*(1 + -2))\/(-2). Solve 0 = -0*q - u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4430 + 234?\nAnswer: 4664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by 365.\nAnswer: -476\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199464 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30 + 28)*1\/2 - (-52)\/60. Let g(p) = 2*p**3 - p**2 + p - 1. Let k be g(1). Which is the closest to 1? (a) 2 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 + 30*q**4 = 0. Calculate q.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119813 is divided by 1737.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2*d - 6*d)*(2 - 2 + d) + d - d - 3*d**2 - 3*d**2 + d - d - d**2 - 2*d**2 + d**2 as z*d + p*d**2 + k and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7237948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5040 divide 5808684182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 117*d**2 + d + 4. Let v be s(-2). Are 470 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 6*d**5\/5 + 17*d**4\/2 + 14*d**3\/3 - 17*d**2 - 20*d - 125. Suppose a(f) = 0. Calculate f.\nAnswer: -5, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/9)\/1)\/(3\/(-30) + 2744\/(-560)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + (-3 - (-135)\/50). Suppose 5*y + 16 = -4, -2*l + 3*y + 10 = 0. Which is the nearest to l? (a) 0.3 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 2. Let b(w) be the second derivative of 2*w**3\/3 - 4*w**2 - 17*w. What is 2*b(o) + 9*n(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 341, 674, 1007?\n\"Answer: 333*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 37419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -59.8. Let u = s - -60. Put u, 1.7, -2\/7 in decreasing order.\nAnswer: 1.7, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5824454033462.56 - -3\nAnswer: -5824454033459.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**8\/1008 + 2*u**7\/315 + u**6\/45 - 7*u**5\/90 - 7*u**4\/72 + 5*u**3\/9 + 220*u**2. Find r such that y(r) = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1589*-0.14.\nAnswer: 0.442246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1\/24*l**3 + 3*l + 0 - 1\/48*l**4 + 1\/4*l**2. Suppose j(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51\/23? (a) 0.1 (b) -2141 (c) 0.4 (d) 5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706891 to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 5*n**2 - 11*n**3 - 11*n**3 + 39*n**3 - 21*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523745?\nAnswer: 5, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.47 + -1.47. Let i = 75.000014 - u. Round i to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 362*m - 2771. Let o be x(8). Solve -34*c + 9*c = -o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6252495.22 to the nearest one hundred.\nAnswer: 6252500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-109)\/(-2)*2*-1. Let w = c - -155. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*-5*sqrt(120)\/sqrt(2)*-5)\/(((sqrt(84) - sqrt(84)*-2)*6)\/(-2*sqrt(7)*-1 + sqrt(7))).\nAnswer: -3 + 25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 4\/11 (c) 15 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*f + 2 = 3*f, 3*f = 3*y - 3. Let b(m) = 5 - m**3 + 7*m**2 - 8*m + y*m**3 + 3*m. What is the units digit of b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 7*g**2 - 6*g + 42. Give d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i + 3992 - 882 + 25*i.\nAnswer: i + 3110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229387.9 nanometers to micrometers.\nAnswer: 229.3879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkvk when four letters picked without replacement from fvvvfukvvvvfufvkf.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3.5 (b) -0.5 (c) -5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/168 and -113\/8400?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 + 4 = 0. Let x(a) = -a**2 + 5*a - 4. Let q be x(v). Solve 5*p + q*f = -17, -6*p - f - 16 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = 4*m - 118, o = 3*m - 88. Suppose 3*y + m = 5*k, 0 = -0*k - 3*k - 4*y - 11. Put k, -2, 5 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - w = 283, -3*a + 423 = 4*w - 5*w. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.245 + -0.145. Let r = -0.7 + -0.3. Which is the third smallest value? (a) m (b) r (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:44 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -143*b - 67. What is c(2)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.067 - 0.017. Which is the closest to -1? (a) i (b) -0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1913 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*z = 42, -5343*a + 3*z - 42 = -5363*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let y(m) = -m + 6. Let u(f) = -14*f + 47. Let g(z) = -9*z + 31. Let h(r) = 8*g(r) - 5*u(r). Let b(v) = 6*h(v) - 13*y(v). Calculate b(q(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 3*r + 3. Let v be x(4). Suppose -4*h - 5 + v = 5*k, -5*h + 4 = 2*k. Find a, given that 2 - k + 2 - 2*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from arrrcarcrrrcrxrrccxx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28121485 and 7140.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61614 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -15279 and 0.109.\nAnswer: -15278.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/207 + 37\/207. Which is the fifth biggest value? (a) u (b) 4 (c) -1 (d) 5 (e) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1200 - -2497. Is 6484\/5 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102613.811 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -626222 (base 12) to base 3\nAnswer: -2220111112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 3028*c + 12108.\nAnswer: (c + 4)*(c + 12108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.68 + -23.68. Which is the fourth biggest value? (a) 1\/9 (b) 0.5 (c) -0.2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 31 + 17*p + 33*p - 31*p. What is v(-4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axpacyyaayxcyyaycx. Give prob of sequence xaa.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5952 - -6267. Calculate the greatest common factor of a and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519171073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11635 and 1400854.\nAnswer: 7004270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -21) + -26 - (-16 + 24 - (6 + 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1690 divide 176598240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:21 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 25 - -56 - 36?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -39. Let a(c) = -c**2 - 5*c + 8. Let z be a(o). Let v(b) = -b + 5. Determine v(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -1018, -2281, -4048, -6319?\nAnswer: -9094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-325)*((-165)\/36)\/11*51.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 - -33. Let w(c) = 15*c**2 + 17*c - 7. Calculate the remainder when l is divided by w(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -46 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 9604, 1 in increasing order.\nAnswer: -5, 1, 2, 5, 9604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 11*l - 8. Let m be b(10). Solve -3*s - 2 = i - 2*i, i = s + m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 60656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-122 - -123).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = -2*w - 24, 3*s - 5*w + 44 = 0. Let h(d) = -d + 7. What are the prime factors of h(s)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, l: 1, t: 1, r: 1}. What is prob of picking 1 l and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w - 10. Let y be g(-3). What is l in -12\/5*l**4 - 4\/5*l**3 + 0*l**2 - 8\/5*l**y + 0*l + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -49, -1\/40, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/30*29289\/3004.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1327116 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/20*77\/42*11 and -47\/34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 15. Suppose n = s + 4 + 2. Is 335*(s\/15)\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 25*s = -54*s - 2886 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 272 = 68. Let q be (-21)\/2*4\/(-6). Suppose 2*u + 115 = q*u. Calculate the remainder when g is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11.17. Let p = k + -0.37. Is 2\/5 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.5884 rounded to 0 decimal places?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.9, 0.05, -0.2, -2\/21, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 1. Let c be b(2). Let k(a) = a + 6. Let n be k(c). List the prime factors of (n\/(-1))\/((-3)\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - -6. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:37 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2769 - 2654 + 1559 + 587)*(2*d + 20 - 20)*(0 + 2 - 4).\nAnswer: -9044*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/((-6016)\/640)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 153, 253, 353, 453, 553?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 220680*l**2 - 1324134*l + 1986228.\nAnswer: 2*(l - 3)**2*(l + 110346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12890 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 140, 207, 274, 341, 408?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*d + 3*d - 255, 5*d = -5*l + 255. Let b = l + -37. Let a(g) = g**2 + 3*g - 2. Calculate the least common multiple of a(5) and b.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 = -5*o + 79, 0 = -l. Suppose -2*h - 6 - o = -2*t, -5*h - 3*t - 26 = 0. Let s(d) = -d**2 - 7*d - 9. Give s(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 21 = -4*a + 24, 5*a = 25. What is the nearest to 1\/4 in 0.4, i, -5, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 8*p + 5. Let o be 5\/(150\/18) + 54\/10. Let g be m(o). Let a(z) = 2*z**3 + 15*z**2 + 2*z + 7. List the prime factors of a(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -702.\nAnswer: -53\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 0 - 5 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:10 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 10*q**2 + 2*q - 10. What is the remainder when 30*3\/6 + 1 is divided by w(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose -b*s = -s. Suppose s = -l - l - 44. Let j(q) = q**3 + q**2 + q. Let w(r) = 10*r**3 + 11*r**2 + 11*r. Determine l*j(h) + 2*w(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 75 = -2*x. Let m = 139\/3 - x. Let u = -2.4 - -2. What is the closest to m in u, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -19) + -16 + (-10 - -32).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003481900878 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 2. Let b(i) = 3*i**3 + 2. Let f = -9233 + 9229. Give f*b(u) + 5*c(u).\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -368 + 373. Suppose 0 = -4*t + 5*i + 11, b*i - 16 = -20*t + 21*t. Solve -11*w - 4 = -t*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21367231.4499957 + 21367141.45. Let a = -3 - 87. Let u = k - a. Round u to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c = -5*y - 38*c - 77, -y = 3*y - 5*c + 42 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -45. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 81. Let l = 33 + j. Calculate the lowest common multiple of 5 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - g + 12 = -j, 2*j - g = 9. What is the third derivative of -j*d + 2*d**2 + 2*d + 4*d**6 + d wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/1)\/(0 - -1). Let p(x) = -21 - 3*x**2 - 13 - 15*x**2 - 18 - x**3 - 3*x. Let c be p(-18). Solve 0 = -2*n + c - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l - 117 = -73 - 72. Solve l*w = -5*u + 35 - 19, 5*w + 30 = 5*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 487781 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3485 and -1.5114.\nAnswer: 5267.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from {j: 14, d: 5}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-8) + 77\/(-28) + 3. Let r be (-4)\/12*(-11 + w). Suppose f = o - 4*f - 267, -r*f = o - 243. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}